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Publikationen der AG Technomathematik

Monografien (3)

  1. R. Dahlhaus, J. Kurths, P. Maaß, J. Timmer (Hrsg.).
    Mathematical Methods in Time Series Analysis and Digital Image Processing.
    Understanding Complex Systems, 294 Seiten, Springer Verlag, 2008.
  2. A. K. Louis, P. Maaß, A. Rieder.
    Wavelets. Theorie und Anwendungen.
    Studienbücher Mathematik, 330 Seiten, Teubner Verlag, 1998.
  3. A. K. Louis, P. Maaß, A. Rieder.
    Wavelets: Theory and Applications.
    Pure and Applied Mathematics, 342 Seiten, WILEY-VCH, 1997.

Zeitschriftenartikel (169)

  1. J. Clemens, T. Kluth, T. Reineking.
    β - SLAM: Simultaneous Localization an Grid Mapping with Beta Distributions.
    Information Fusion, 52:62-75, Elsevier, 2019.

    DOI: 10.1016/j.inffus.2018.11.005

  2. P. Maaß.
    Deep learning for trivial inverse problems.
    Erscheint in Compressed Sensing and its applications
  3. J. Quanico, L. Hauberg-Lotte, S. Devaux, Z. Laouby, C. Mériaux, A. Raffo-Romero, M. Rose, L. . Westerheide, J. Vehmeyer, F. Rodet, P. Maaß, D. Cizkova, N. Zilka, V. Cubinkova, I. Fournier, M. Salzet.
    3D MALDI mass spectrometry imaging reveals specific localization of long-chain acylcarnitines within a 10-day time window of spinal cord injury.
    Scientific Reports, 8(16083), 2018.

    DOI: 10.1038/s41598-018-34518-0

  4. P. Fernsel, P. Maaß.
    A Survey on Surrogate Approaches to Non-negative Matrix Factorization.
    Vietnam Journal of Mathematics, 46(4):987-1021, Springer Verlag, 2018.

    DOI: 10.1007/s10013-018-0315-x

  5. J. Behrmann, C. Etmann, T. Boskamp, R. Casadonte, J. Kriegsmann, P. Maaß.
    Deep Learning for Tumor Classification in Imaging Mass Spectrometry.
    Bioinformatics, 34(7):1215-1223, Oxford University Press, 2018.

    DOI: 10.1093/bioinformatics/btx724

  6. T. Kluth.
    Mathematical models for magnetic particle imaging.
    Inverse Problems, Article ID 083001 34(8), 2018.

    DOI: 10.1088/1361-6420/aac535

  7. T. Kluth, B. Jin, G. Li.
    On the Degree of Ill-Posedness of Multi-Dimensional Magnetic Particle Imaging.
    Inverse Problems, Article ID 095006 34(9), 2018.

    DOI: 10.1088/1361-6420/aad015

  8. J. Leuschner, M. Schmidt, P. Fernsel, D. Lachmund, T. Boskamp, P. Maaß.
    Supervised Non-negative Matrix Factorization Methods for MALDI Imaging Applications.
    Bioinformatics, bty909 , 2018.

    DOI: 10.1093/bioinformatics/bty909

  9. Y. Cordero Hernandez, T. Boskamp, R. Casadonte, L. Hauberg-Lotte, J. Oetjen, D. Lachmund, A. Peter, D. Trede, K. Kriegsmann, M. Kriegsmann, J. Kriegsmann, P. Maaß.
    Targeted Feature Extraction in MALDI Mass Spectrometry Imaging to Discriminate Proteomic Profiles of Breast and Ovarian Cancer.
    Proteomics - Clinical Applications, 1700168 , Wiley, 2018.

    DOI: 10.1002/prca.201700168

  10. N. Hase, S. M. Miller, P. Maaß, J. Notholt, M. Palm, T. Warneke.
    Atmospheric Inverse Modeling via Sparse Reconstruction.
    Geoscientific Model Development (GMD), 10:3695-3713, 2017.

    DOI: 10.5194/gmd-10-3695-2017

  11. C. Bathke, T. Kluth, C. Brandt, P. Maaß.
    Improved image reconstruction in magnetic particle imaging using structural a priori information.
    International Journal on Magnetic Particle Imaging, Article ID 1703015, 3(1), 10 pages, 2017.

    DOI: 10.18416/ijmpi.2017.1703015

  12. T. Kluth, P. Maaß.
    Model uncertainty in magnetic particle imaging: Nonlinear problem formulation and model-based sparse reconstruction.
    International Journal on Magnetic Particle Imaging, Article ID 1707004 3(2), 10 pages, 2017.

    DOI: 10.18416/ijmpi.2017.1707004

  13. J. Nüße, M. Waespy, U. Mirastschijski, J. Oetjen, N. Brandes, O. Rebello, F. Paroni, S. Kelm, F. Dietz.
    Two new isoforms of the human hepatoma-derived growth factor interact with components of the cytoskeleton.
    Biological Cemistry, 397(5), 417–436 S., 2016.

    DOI: 10.1515/hsz-2015-0273

  14. T. Boskamp, D. Lachmund, J. Oetjen, Y. Hernandez-Cordero, D. Trede, P. Maaß, R. Casadonte, J. Kriegsmann, A. Warth, H. Dienemann, W. Weichert, M. Kriegsmann.
    A new classification method for MALDI imaging mass spectrometry data acquired on formalin-fixed paraffin-embedded tissue samples.
    BBA - Proteins and Proteomics, , 2016.

    DOI: 10.1016/j.bbapap.2016.11.003

  15. K. Kazimierski, I. Piotrowska-Kurczewski, F. Böhmermann, O. Riemer.
    A statistical filtering method for denoising of micro-force measurements.
    The International Journal of Advanced Manufacturing Technology, , 1693–1704 S., Springer Verlag, 2016.

    DOI: 10.1007/s00170-016-8513-8
    online unter: http://link.springer.com/article/10.1007/s00170-016-8513-8

  16. J. Oetjen, D. Lachmund, A. Palmer, F. Alexandrov, M. Becker, T. Boskamp, P. Maaß.
    An approach to optimize sample preparation for MALDI imaging MS of FFPE sections using fractional factorial design of experiments.
    Analytical and Bioanalytical Chemistry, 408(24):6729-40, 2016.

    DOI: 10.1007/s00216-016-9793-4

  17. P. Maaß, R. Strehlow.
    An iterative regularization method for nonlinear problems based on Bregman projections.
    Inverse Problems, Article ID 115013 32(11), 20 pages, 2016.

    Ausgezeichnet als Highlight Paper

    DOI: 10.1088/0266-5611/32/11/115013

  18. Q. M. Pham, D. Nho Hào, P. Maaß, M. Pidcock.
    Descent Gradient Methods for Nonsmooth Minimization Problems and Applicatons to Ill-Posed Problems.
    Journal of Computational and Applied Mathematics, 298:105-122, 2016.

    DOI: 10.1016/j.cam.2015.11.039

  19. F. Hoffmann, J. M. Lotz, J. Lotz, S. Heldmann, D. Trede, J. Oetjen, M. Becker, G. Ernst, P. Maaß, F. Alexandrov, O. Guntinas-Lichius, H. Thiele, F. von Eggeling.
    Integration of 3D multimodal imaging data of a head and neck cancer and advanced feature recognition.
    BBA - Proteins and Proteomics, , 2016.

    DOI: 10.1016/j.bbapap.2016.08.018

  20. S. Devaux, D. Cizkova, J. Quanico, J. Franck, S. Nataf, L. Pays, L. Hauberg-Lotte, P. Maaß, J. H. Kobarg, F. Kobeissy, C. Mériaux, M. Wisztorski, L. Slovinska, J. Blasko, V. Cigankova, I. Fournier, M. Salzet.
    Proteomic Analysis of the Spatio-temporal Based Molecular Kinetics of Acute Spinal Cord Injury Identifies a Time- and Segment-specific Window for Effectife Tissue Repair.
    Molecular & Cellular Proteomics, 15:2641-2670, 2016.

    DOI: 10.1074/mcp.M115.057794

  21. A. Egozi, D. Eilot, P. Maaß, C. Sagiv.
    A robust estimation method for camera calibration with known rotation.
    Applied Mathematics, 6(9):1538-1552 , 2015.

    DOI: 10.4236/am.2015.69137

  22. J. Oetjen, K. Veselkov, J. Watrous, J. McKenzie, M. Becker, L. Hauberg-Lotte, J. H. Kobarg, A. K. Mróz, N. Strittmatter, F. Hoffmann, D. Trede, A. Palmer, S. Schiffler, K. Steinhorst, M. Aichler, R. Goldin, O. Guntinas-Lichius, F. von Eggeling, H. Thiele, K. Mädler, A. Walch, P. Maaß, P. C. Dorrestein, Z. Takats, F. Alexandrov.
    Benchmark datasets for 3D MALDI- and DESI-imaging mass spectrometry.
    GigaScience, 4, 2015.

    DOI: 10.1186/s13742-015-0059-4

  23. C. Song, M. Mazzola, X. Cheng, J. Oetjen, F. Alexandrov, P. C. Dorrestein, J. Watrous, M. van der Voort, J. M. Raaijmakers.
    Molecular and chemical dialogues in bacteria-protozoa interactions.
    Scientific Reports, Article ID 12837 5, 2015.

    DOI: 10.1038/srep12837

  24. T. Dabrowski, A. Struck, D. Fenske, P. Maaß, L. Colombi Ciacchi.
    Optimization of Catalytically Active Sites Positioning in Porous Cathodes of Lithium/Air Batteries Filled with Different Electrolytes.
    Journal of The Electrochemical Society, 162(14):A2796-A2804, 2015.

    DOI: 10.1149/2.0861514jes

  25. I. Piotrowska-Kurczewski, J. Vehmeyer, P. Gralla, F. E. Elsner-Dörge, F. Böhmermann, O. Riemer, P. Maaß.
    Reduzierung der Formabweichung beim Mikrofräsen.
    Tagungsband 7. Kolloquium Mikroproduktion, ISBN: 978-3-00-050-755-7 , 23–30 S., 2015.
  26. C. Bockelmann, H. Schepker, A. Dekorsy, A. Bartels, D. Trede, K. Kazimierski.
    C-Curve: A Finite Alphabet based Parameter Choice Rule for Elastic-Net in Sporadic Communication.
    IEEE Communication Letters, 18(8):1443 -- 1446, 2014.

    DOI: 10.1109/LCOMM.2014.2329487

  27. H. Thiele, S. Heldmann, D. Trede, J. Strehlow, S. Wirtz, W. Dreher, J. Berger, J. Oetjen, J. H. Kobarg, B. Fischer, P. Maaß.
    2D and 3D MALDI-Imaging: Conceptual Strategies for Visualization and Data Mining.
    BBA - Proteins and Proteomics, 1844(1):117-137, 2014.

    DOI: 10.1016/j.bbapap.2013.01.040

  28. B. Denkena, J. Vehmeyer, D. Niederwestberg, P. Maaß.
    Identification of the specific cutting force for geometrically defined cutting edges and varying cutting conditions.
    International Journal of Machine Tools and Manufacture, 82:42-49, 2014.

    DOI: 10.1016/j.ijmachtools.2014.03.009

  29. O. Klein, K. Strohschein, G. Nebrich, J. Oetjen, D. Trede, H. Thiele, F. Alexandrov, P. Giavalisco, G. N. Duda, P. Roth von, S. Geissler, J. Klose, T. Winkler.
    MALDI imaging mass spectrometry: Discrimination of pathophysiological regions in traumatized skeletal muscle by characteristic peptide signatures.
    Proteomics, 14(20):2249-2260, 2014.

    DOI: 10.1002/pmic.201400088

  30. J. H. Kobarg, P. Maaß, J. Oetjen, O. Tropp, E. Hirsch, C. Sagiv, M. Goldabaee, P. Vandergheynst.
    Numerical experiments with MALDI Imaging data.
    Advances in Computational Mathematics, 40(3):667-682, 2014.

    DOI: 10.1007/s10444-013-9325-0

  31. R. M. M. Abed, L. Polerecky, A. Al-Habsi, J. Oetjen, M. Strous, D. de Beer.
    Rapid Recovery of Cyanobacterial Pigments in Desiccated Biological Soil Crusts following Addition of Water.
    PLoS ONE, , 2014.

    DOI: 10.1371/journal.pone.0112372

  32. M. Jiang, P. Maaß, T. Page.
    Regularizing properties of the Mumford-Shah functional for imaging applications.
    Inverse Problems, 30(3), 035007 , 2014.

    Ausgezeichnet als Highlight Paper

    DOI: 10.1088/0266-5611/30/3/035007

  33. P. Maaß, C. Sagiv, H. Stark, B. Torresani.
    Signal representation, uncertainty principles and localization measures.
    Advances in Computational Mathematics, 40(3):597-607, Springer Verlag, 2014.

    DOI: 10.1007/s10444-014-9341-8

  34. M. Gehre, T. Kluth, C. Sebu, P. Maaß.
    Sparse 3D reconstructions in electrical impedance tomography using real data.
    Inverse Problems in Science and Engineering, 22(1):31-44, Taylor & Francis, 2014.

    DOI: 10.1080/17415977.2013.827183

  35. E. Herrholz, D. Lorenz, G. Teschke, D. Trede.
    Sparsity and Compressed Sensing in Inverse Problems.
    Lecture Notes in Computational Science and Engineering, 102:365-379, Springer Verlag, 2014.

    DOI: 10.1007/978-3-319-08159-5_18

  36. A. Bartels, P. Dülk, D. Trede, F. Alexandrov, P. Maaß.
    Compressed sensing in imaging mass spectrometry.
    Inverse Problems, 29(12), 125015 (24pp), IOPscience, 2013.

    Selected as one of the highlights among all articles published in IOP "Inverse Problems" in 2013.

    DOI: 10.1088/0266-5611/29/12/125015

  37. C. M. Rath, J. Y. Yang, F. Alexandrov, P. C. Dorrestein.
    Data-independent microbial metabolomics with ambient ionization mass spectrometry.
    Journal of Mass Spectrometry, 24(8):1167-1176, 2013.

    DOI: 10.1007/s13361-013-0608-y

  38. V. M. Calo, N. Collier, M. Gehre, B. Jin, H. Radwan, M. Santillana.
    Gradient-based estimation of Manning's friction coefficient from noisy data.
    Journal of Computational and Applied Mathematics, 238:1-13, 2013.

    DOI: 10.1016/j.cam.2012.08.004

  39. I. Piotrowska-Kurczewski, J. Schlasche, D. Weimer, B. Scholz-Reiter, P. Maaß.
    Image Denoising and Quality inspection of Micro Components using Perona-Malik Diffusion.
    Procedia CIRP, 8:432-437, Elsevier, 2013.

    DOI: 10.1016/j.procir.2013.06.129

  40. F. Alexandrov.
    Imaging mass spectrometry reveals modified forms of histone H4 as new biomarkers of microvascular invasion in hepatocellular carcinomas.
    Hepatology, 58(3):983-94, 2013.

    DOI: 10.1002/hep.26433

  41. J. Watrous, F. Alexandrov, P. C. Dorrestein.
    Interspecies interactions stimulate diversification of the Streptomyces coelicolor secreted metabolome.
    mBio, 4(4):e00459-13, 2013.

    DOI: 10.1128/mBio.00459-13

  42. F. Alexandrov, P. E. . Bourne.
    Learning how to run a lab: interviews with Principal Investigators.
    POLS Computational Biology, 9(11), e1003349 S., 2013.

    DOI: 10.1371/journal.pcbi.1003349

  43. S. Steurer, C. Borkowski, S. Odinga, M. Buchholz, C. Koop, H. Huland, M. Becker, M. Witt, D. Trede, M. Omidi, O. Kraus, A. S. Bahar, A. S. Seddiqi, J. M. Singer, M. Kwiatkowski, M. Trusch, R. Simon, M. Wurlitzer, S. Minner, T. Schlomm, G. Sauter, H. Schlüter.
    MALDI mass spectrometric imaging based identification of clinically relevant signals in prostate cancer using large-scale tissue microarrays.
    Erscheint in International Journal of Cancer

    DOI: 10.1002/ijc.28080

  44. J. Watrous, P. Roach, B. S. Heath, F. Alexandrov, J. Laskin, P. C. Dorrestein.
    Metabolic Profiling Directly from the Petri Dish Using Nanospray Desorption Electrospray Ionization Imaging Mass Spectrometry.
    Analytical Chemistry, 85(21), 10385–10391 S., 2013.

    DOI: 10.1021/ac4023154

  45. J. Watrous, F. Alexandrov, P. C. Dorrestein.
    Microbial metabolic exchange in 3D.
    ISME Journal, 7(4):770-780, 2013.

    DOI: 10.1038/ismej.2012.155

  46. J. Oetjen, M. Aichler, D. Trede, J. Strehlow, J. Berger, S. Heldmann, M. Becker, M. Gottschalk, J. H. Kobarg, S. Wirtz, S. Schiffler, H. Thiele, A. Walch, P. Maaß, F. Alexandrov.
    MRI-compatible pipeline for three-dimensional MALDI imaging mass spectrometry using PAXgene fixation .
    Journal of Proteomics, 90:52-60, 2013.

    DOI: 10.1016/j.jprot.2013.03.013

  47. F. Alexandrov, M. Becker, A. C. Crecelius.
    Phenalenone-type phytoalexins mediate resistance of banana plants (Musa spp.) to the burrowing nematode Radopholus similis.
    Proceedings of the National Academy of Sciences of the United States of America , , 2013.

    DOI: 10.1073/pnas.1314168110

  48. F. Alexandrov, P. Lasch.
    Segmentation of Confocal Raman Microspectroscopic Imaging Data Using Edge-Preserving Denoising and Clustering.
    Analytical Chemistry, 85(12):5676-83, 2013.

    DOI: 10.1021/ac303257d

  49. Q. M. Pham, D. Nho Hào, P. Maaß, M. Pidcock.
    Semismooth Newton and Quasi-Newton methods in weighted l¹-regularization.
    Journal of Inverse and Ill-posed Problems, 21(5):665-693, 2013.

    DOI: 10.1515/jip-2013-0031

  50. F. Alexandrov, A. Bartels.
    Testing for presence of known and unknown molecules in imaging mass spectrometry.
    Bioinformatics, 29(18):2335-2342, 2013.

    DOI: 10.1093/bioinformatics/btt388

  51. F. Alexandrov.
    The Young PI Buzz: Learning from the Organizers of the Junior Principal Investigator Meeting at ISMB-ECCB 2013.
    POLS Computational Biology, 9(11), e10003350 S., 2013.

    DOI: 10.1371/journal.pcbi.1003350

  52. A. Lechleiter, K. Kazimierski, M. Karamehmedovic.
    Tikhonov regularization in L^p applied to inverse medium scattering.
    Inverse Problems, 29, 075003 S., IOPscience, 2013.

    DOI: doi:10.1088/0266-5611/29/7/075003
    online unter: Link

  53. M. Lagarrigue, F. Alexandrov, G. Dieuset, A. Perrin, R. Lavigne, S. Baulac, H. Thiele, B. Martin.
    A new analysis workflow for MALDI imaging mass spectrometry: application to the discovery and identification of potential markers of Childhood Absence Epilepsy.
    Journal of Proteome Research, 11(11):5453-5463, 2012.

    DOI: 10.1021/pr3006974

  54. B. Jin, T. Khan, P. Maaß.
    A reconstruction algorithm for electrical impedance tomography based on sparsity regularization .
    International Journal for Numerical Methods in Engineering, 89(3):337-353, 2012.

    DOI: 10.1002/nme.3247

  55. F. Alexandrov, S. Bianconcini, E. B. Dagum, P. Maaß, T. S. McElroy.
    A review of some modern approaches to the problem of trend extraction.
    Econometric Reviews, 31(6):593-624, Taylor & Francis, 2012.

    DOI: 10.1080/07474938.2011.608032

  56. S. Dahlke, U. Friedrich, P. Maaß, T. Raasch, R. Ressel.
    An adaptive wavelet solver for a nonlinear parameter identification problem for a parabolic differential equation with sparsity constraints.
    Journal of Inverse and Ill-posed Problems, 20(2):213-251, 2012.

    DOI: 10.1515/jip-2012-0013

  57. B. Jin, P. Maaß.
    An analysis of electrical impedance tomography with applications to Tikhonov regularization.
    ESAIM: Control, Optimisation and Calculus of Variations, 18(4):1027-1048, 2012.

    DOI: 10.1051/cocv/2011193

  58. A. C. Crecelius, F. Alexandrov, U. S. Schubert.
    Application of MALDI-MSI for photolithographic structuring.
    Analytical Chemistry, 84(16):6921-6925, 2012.

    DOI: 10.1021/ac301616v

  59. D. Trede, S. Schiffler, M. Becker, S. Wirtz, K. Steinhorst, J. Strehlow, M. Aichler, J. H. Kobarg, J. Oetjen, A. Dyatlov, S. Heldmann, A. Walch, H. Thiele, P. Maaß, F. Alexandrov.
    Exploring Three-Dimensional Matrix-Assisted Laser Desorption/Ionization Imaging Mass Spectrometry Data: Three-Dimensional Spatial Segmentation of Mouse Kidney.
    Analytical Chemistry, 84(14):6079-6087, 2012.

    DOI: 10.1021/ac300673y

  60. D. Lorenz, P. Maaß, Q. M. Pham.
    Gradient descent for Tikhonov functionals with sparsity constraints: theory and numerical comparison of step size rules.
    Electronic Transactions on Numerical Analysis, 39:437-463, 2012.
  61. D. Trede, F. Alexandrov, C. Sagiv, P. Maaß.
    Magnification of Label Maps with a Topology-Preserving Level-Set Method.
    IEEE Transactions on Image Processing, 21(9):4040-4053 , 2012.

    DOI: 10.1109/TIP.2012.2199325

  62. F. Alexandrov.
    MALDI imaging mass spectrometry: statistical data analysis and current computational challenges.
    BMC Bioinformatics, 13 (Suppl 16): S11; IF2.8 , 2012.

    DOI: 10.1186/1471-2105-13-S16-S11

  63. F. Alexandrov, M. Becker, O. Guntinas-Lichius, G. Ernst, F. von Eggeling.
    MALDI-imaging segmentation is a powerful tool for spatial functional proteomic analysis of human larynx carcinoma.
    Journal of Cancer Research and Clinical Oncology, 139(1):85-95, 2012.

    DOI: 10.1007/s00432-012-1303-2

  64. N. Bandeira, J. Watrous, P. Roach, F. Alexandrov, B. S. Heath, J. Y. Yang, R. D. Kersten, M. van der Voort, K. Pogliano, H. Gross, J. M. Raaijmakers, B. S. Moore, J. Laskin, P. C. Dorrestein.
    Mass spectral molecular networking of living microbial colonies.
    Proceedings of the National Academy of Sciences of the United States of America , 109(26):1743-1752, 2012.

    DOI: 10.1073/pnas.1203689109

  65. C. Brandt, P. Maaß, I. Piotrowska-Kurczewski, S. Schiffler, O. Riemer, E. Brinksmeier.
    Mathematical methods for optimizing high precision cutting operations.
    International Journal of Nanomanufacturing, 8(4):306-325, 2012.

    DOI: 10.1504/IJNM.2012.048580

  66. C. M. Rath, F. Alexandrov, S. K. Higginbottom, J. Song, J. L. Sonnenburg, M. E. Milla, M. A. Fischbach, P. C. Dorrestein.
    Molecular analysis of model gut microbiotas by imaging mass spectrometry and nano-desorption electrospray ionization reveals dietary metabolite transformations.
    Analytical Chemistry, 84(21):9259-9267, 2012.

    DOI: 10.1021/ac302039u

  67. M. Ehrhardt, H. Villinger, S. Schiffler.
    New Tools for Decomposition of Sea Floor Pressure Data.
    Computers & Geosciences, 45:4-12, Elsevier, 2012.

    DOI: 10.1016/j.cageo.2012.03.022
    online unter: http://dx.doi.org/10.1016/j.cageo.2012.03.022

  68. K. Kazimierski, P. Maaß, R. Strehlow.
    Norm sensitivity of sparsity regularization with respect to p.
    Inverse Problems, 104009 28(10), IOPscience, 2012.

    Ausgezeichnet als Highlight Paper

    DOI: 10.1088/0266-5611/28/10/104009

  69. D. Trede, J. H. Kobarg, J. Oetjen, H. Thiele, P. Maaß, F. Alexandrov.
    On the Importance of Mathematical Methods for Analysis of MALDI-Imaging Mass Spectrometry Data.
    Journal of Integrative Bioinformatics, 9(1), 189 S., 2012.

    DOI: 10.2390/biecoll-jib-2012-189
    online unter: JIB open access

  70. B. Jacob, B. Jin, T. Khan, P. Maaß.
    Optimal Source for Maximum Distinguishability in Optical Imaging.
    Journal of Applied Functional Analysis, 7(4):394-412, 2012.
  71. M. Gehre, T. Kluth, A. Lipponen, B. Jin, A. Seppänen, J. P. Kaipio, P. Maaß.
    Sparsity Reconstruction in Electrical Impedance Tomography: An Experimental Evaluation.
    Journal of Computational and Applied Mathematics, 236(8):2126-2136, 2012.

    DOI: 10.1016/j.cam.2011.09.035

  72. B. Jin, P. Maaß.
    Sparsity regularization for parameter identification problems.
    Inverse Problems, 123001 28(12), IOPscience, 2012.

    Ausgezeichnet als Highlight Paper

    DOI: 10.1088/0266-5611/28/12/123001

  73. J. Bruand, F. Alexandrov, S. Sistla, M. Wisztorski, C. Meriaux, M. Becker, M. Salzet, I. Fournier, E. Macagno, V. Bafna.
    AMASS: algorithm for MSI (mass spectrometric imaging) analysis by semi-supervised segmentation.
    Journal of Proteome Research, 10(10):4734-4743, 2011.

    DOI: 10.1021/pr2005378

  74. A. C. Crecelius, F. Alexandrov, U. S. Schubert.
    Application of MALDI-MSI to monitor surface changes of UV irradiated poly(styrene) films.
    Rapid Communications in Mass Spectrometry, 25(19):2809-14, 2011.

    DOI: 10.1002/rcm.5164

  75. D. Lorenz, S. Schiffler, D. Trede.
    Beyond convergence rates: exact recovery with the Tikhonov regularization with sparsity constraints.
    Inverse Problems, 27(8), 085009(17pp), IOPscience, 2011.

    Paper selected in "2011 Highlights for Inverse Problems"

    DOI: 10.1088/0266-5611/27/8/085009
    online unter: arXiv.org e-Print archive

  76. F. Alexandrov, J. H. Kobarg.
    Efficient spatial segmentation of large imaging mass spectrometry datasets with spatially aware clustering.
    Bioinformatics, 27(13):i230-i238, 2011.

    DOI: 10.1093/bioinformatics/btr246

  77. B. Jin, T. Khan, P. Maaß, M. Pidcock.
    Function Spaces and Optimal Currents in Impedance Tomography.
    Journal of Inverse and Ill-posed Problems, 19(1):25-48, 2011.

    DOI: 10.1515/JIIP.2011.022, /May/2011

  78. C. Brandt, J. Niebsch, R. Ramlau, P. Maaß.
    Modeling the Influence of Unbalances for Ultra-Precision Cutting Processes.
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 91(10):795-808, 2011.

    DOI: 10.1002/zamm.201000155

  79. M. Komori, Y. Matsuyama, T. Nirasawa, H. Thiele, M. Becker, F. Alexandrov, T. Saida, M. Tanaka, H. Matsuo, H. Tomimoto, R. Takahashi, K. Tashiro, M. Ikegawa, T. Kondo.
    Proteomic pattern analysis discriminates among multiple sclerosis-related disorders.
    Annals of Neurology, 71(5):614-623, 2011.

    DOI: 10.1002/ana.22633

  80. I. Piotrowska-Kurczewski, J. Vehmeyer.
    Simulation Model for Micro-milling Operations and Surface Generation.
    , Advanced Materials Research 223:849-858, 2011.

    DOI: doi:10.4028/www.scientific.net/AMR.223.849

  81. F. Alexandrov, S. Meding, D. Trede, J. H. Kobarg, B. Balluff, A. Walch, H. Thiele, P. Maaß.
    Super-resolution segmentation of imaging mass spectrometry data: Solving the issue of low lateral resolution.
    Journal of Proteomics, 75(1):237-245, Elsevier, 2011.

    DOI: 10.1016/j.jprot.2011.08.002

  82. J. Watrous, F. Alexandrov, P. C. Dorrestein.
    The evolving field of imaging mass spectrometry and its impact on future biological research.
    Journal of Mass Spectrometry, 46(2):209-222, 2011.
  83. P. Maaß, N. Sochen.
    Uncertainty principles and localization measures.
    Operator Algebras and Representation Theory: Frames, Wavelets and Fractals, Oberwolfach Report 17:67-69, 2011.

    DOI: 10.4171/OWR/2011/17

  84. P. Maaß.
    ZeTeM, Zentrum für Technomathematik, Universität Bremen, Germany.
    Newsletter of the European Mathematical Society, March 2011 79:36-38, 2011.

    DOI: 10.4171/NEWS

  85. P. Maaß, M. Pidcock, C. Sebu.
    A regularized solution for the inverse conductivity problem using mollifiers.
    Inverse Problems in Science and Engineering, 18(1):145-161, 2010.

    DOI: 10.1080/17415970903234844

  86. T. Hein, K. Kazimierski.
    Accelerated Landweber iteration in Banach spaces.
    Inverse Problems, 055002 26(5), 2010.
  87. T. Bonesky, S. Dahlke, P. Maaß, T. Raasch.
    Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems.
    Advances in Computational Mathematics, 33(4):385-411, Springer Verlag, 2010.

    DOI: 10.1007/s10444-010-9147-2

  88. P. Maaß, C. Sagiv, N. Sochen, H. Stark.
    Do Uncertainty Minimizers Attain Minimal Uncertainty?
    Journal of Fourier Analysis and Applications, 16(3):448-469, Springer Verlag, 2010.

    DOI: 10.1007/s00041-009-9099-4

  89. K. Kazimierski.
    Minimization of the Tikhonov functional in Banach spaces smooth and convex of power type by steepest descent in the dual.
    Erscheint in Computational Optimization and Applications
  90. F. Alexandrov, M. Becker, S. Deininger, G. Ernst, L. Wehder, M. Grasmair, F. von Eggeling, H. Thiele, P. Maaß.
    Spatial segmentation of imaging mass spectrometry data with edge-preserving image denoising and clustering.
    Journal of Proteome Research, 9(12):6535-6546, 2010.

    DOI: 10.1021/pr100734z

  91. C. I. Balog, F. Alexandrov, R. J. Derks, P. J. Hensbergen, G. J. van Dam, E. M. Tukahebwa, N. B. Kabatereine, H. Thiele, B. J. Vennervald, O. A. Mayboroda, A. M. Deelder.
    The feasibility of mass spectrometry and advanced data processing for monitoring Schistosoma mansoni infection.
    Proteomics - Clinical Applications, 4(5):499-510, 2010.
  92. K. Bredies.
    A forward-backward splitting algorithm for the minimization of non-smooth convex functionals in Banach space.
    Inverse Problems, 25(1), 2009.

    DOI: 10.1088/0266-5611/25/1/015005

  93. K. Bredies, D. Lorenz, P. Maaß.
    A generalized conditional gradient method and its connection to an iterative shrinkage method.
    Computational Optimization and Applications, 42(2):173-193, Springer Verlag, 2009.

    DOI: 10.1007/s10589-007-9083-3

  94. F. Alexandrov.
    A method of trend extraction using Singular Spectrum Analysis.
    RevStat, 7(1):1-22, 2009.
  95. K. Kazimierski.
    Are adaptive Mann iterations really adaptive?
    Mathematical Communications, 14(2):399 - 412, 2009.
  96. F. Alexandrov, J. Decker, B. Mertens, A. M. Deelder, H. Thiele, P. Maaß, R. A. E. M. Tollenaar.
    Biomarker discovery in MALDI-TOF serum protein profiles using discrete wavelet transformation.
    Bioinformatics, 25(5):643-649, 2009.

    DOI: 10.1093/bioinformatics/btn662

  97. J. Oetjen, B. Reinhold-Hurek.
    Characterization of the DraT/DraG System for Posttranslational Regulation of Nitrogenase in the Endophytic Betaproteobacterium Azoarcus sp. Strain BH72.
    Journal of Bacteriology, 191(11):3726-3735, 2009.

    DOI: 10.1128/JB.01720-08

  98. H. R. Karimi, P. Maaß.
    Delay-range-dependent exponential H∞ synchronization of a class of delayed neural networks.
    Chaos, Solitons and Fractals, 41(3):1125-1135, Elsevier, 2009.

    DOI: 10.1016/j.mcm.2009.05.038

  99. B. Jin, D. Lorenz, S. Schiffler.
    Elastic-Net Regularization: Error estimates and Active Set Methods.
    Inverse Problems, 25(11), 2009.

    DOI: 10.1088/0266-5611/25/11/115022

  100. L. Denis, D. Lorenz, D. Trede.
    Greedy Solution of Ill-Posed Problems: Error Bounds and Exact Inversion.
    Inverse Problems, 25(11), 115017(24pp), 2009.

    DOI: 10.1088/0266-5611/25/11/115017
    online unter: arXiv.org e-Print archive

  101. L. Denis, D. Lorenz, E. Thiébaut, C. Fournier, D. Trede.
    Inline hologram reconstruction with sparsity constraints.
    Optics Letters, 34(22):3475-3477, 2009.

    DOI: 10.1364/OL.34.003475
    online unter: HAL (Hyper Articles en Ligne) open archive

  102. T. Bonesky, P. Maaß.
    Iterated Soft Shrinkage with Adaptive Operator Evaluations.
    Journal of Inverse and Ill-posed Problems, 17(4):337-358, 2009.

    DOI: 10.1515/JIIP.2009.023

  103. J. Oetjen, S. Rexroth, B. Reinhold-Hurek.
    Mass spectrometric characterization of the covalent modification of the nitrogenase Fe-protein in Azoarcus sp. BH72.
    The FEBS Journal, 276(13):3618-3627, 2009.

    DOI: 10.1111/j.1742-4658.2009.07081.x

  104. I. Piotrowska, C. Brandt, H. R. Karimi, P. Maaß.
    Mathematical model of micro turning process.
    The International Journal of Advanced Manufacturing Technology, 45(1):33-40, Springer Verlag, 2009.

    DOI: 10.1007/s00170-009-1932-z

  105. M. Lindemann, H. Thiele, P. Maaß, J. Decker.
    Support vector classification of proteomic profile spectra based on feature extraction with the bi-orthogonal discrete wavelet transform.
    Computing and Visualization in Science, 12(4):189-199, Springer Verlag, 2009.

    DOI: 10.1007/s00791-008-0087-z

  106. M. Lukaschewitsch, P. Maaß, M. Pidcock, C. Sebu.
    The asymptotic behaviour of weak solutions to the forward problem of electrical impedance tomography on unbounded three-dimensional domains.
    Mathematical Methods in the Applied Sciences, 32(2):206-222, WILEY-VCH, 2009.

    DOI: 10.1002/mma.1031

  107. H. R. Karimi, P. Maaß.
    A convex optimization approach to robust observer-based H∞ control design of linear parameter-varying delayed systems.
    International Journal of Modelling, Identification and Control, 4(3):226-241, 2008.

    DOI: 10.1504/IJMIC.2008.021160

  108. M. Pidcock, P. Maaß, C. Sebu.
    A mollifier method for the inverse conductivity problem.
    Journal of Physics, Conference Series, Article ID 012068 135(1), 2008.

    DOI: 10.1088/1742-6596/135/1/012068

  109. K. Kazimierski.
    Adaptive Mann iterations for nonlinear accretive and pseudocontractive operator equations.
    Mathematical Communications, 13(1):33-44, 2008.
  110. D. D. Haroske, I. Piotrowska.
    Atomic decomposition of function spaces with Muckenhoupt weights; an example from fractal geometry.
    Mathematische Nachrichten, 281(10), 1476–1494 S., 2008.
  111. L. Prünte, P. Maaß, H. Thielemann.
    Condition Monitoring of linear guideways using a matched wavelet approach.
    Signal Processing, 88(7):1656-1670, Elsevier, 2008.

    DOI: 10.1016/j.sigpro.2007.12.017

  112. I. Piotrowska.
    Entropy and aproximation numbers of embeddings between weighted besov spaces.
    Banach Center Publications, 79:173-185, 2008.
  113. K. Bredies, D. Lorenz.
    Iterated hard shrinkage for minimization problems with sparsity constraints.
    SIAM Journal on Scientific Computing, 30(2):657-683, 2008.
  114. K. Bredies, D. Lorenz.
    Linear Convergence of iterative soft-thresholding.
    Journal of Fourier Analysis and Applications, 14(5):813-837, Springer Verlag, 2008.

    DOI: 10.1007/s00041-008-9041-1

  115. P. Maaß, B. Kuhfuß, O. Riemer.
    Mathematical Models for surface characterization of machining processes.
    Microsystem Technologies, 14(12):1989-1993, Springer Verlag, 2008.

    DOI: 10.1007/s00542-008-0687-z

  116. I. Loresch, H. Schulte, O. Riemer, P. Maaß, F. Dollinger.
    Mathematische Ansätze zur Materialabtragsmodellierung beim Polieren.
    HTM - Journal of Heat Treatment and Materials, 63(5):252-256, 2008.

    DOI: 10.3139/105.100472

  117. T. Schuster, P. Maaß, T. Bonesky, K. Kazimierski, F. Schöpfer.
    Minimization of Tikhonov Functionals in Banach Spaces.
    Abstract and Applied Analysis, Article ID 192679, 2008, 18 pages, 2008.

    DOI: 10.1155/2008/192679

  118. K. Bredies, D. Lorenz.
    On the convergence speed of iterative methods for linear inverse problems with sparsity constraints.
    Journal of Physics, Conference Series, 124(1):2031-2043, 2008.
  119. A. Hinrichs, I. Piotrowska, M. Piotrowski.
    On the degree of compactness of embeddings between weighted modulation spaces.
    , 6(3):303-317, 2008.
  120. D. Lorenz, D. Trede.
    Optimal Convergence Rates for Tikhonov Regularization in Besov Scales.
    Inverse Problems, 24(5), 055010(14pp), 2008.

    DOI: 10.1088/0266-5611/24/5/055010
    online unter: arXiv.org e-Print archive

  121. C. Brandt, H. R. Karimi, I. Piotrowska, J. Niebsch, R. Ramlau, A. Krause, O. Riemer, P. Maaß.
    Process Machine Interaction Model for Turning Processes.
    International Journal of Control Theory and Applications, 1(2):145-153, 2008.
  122. F. Alexandrov, N. Golyandina, A. Spirov.
    Singular Spectrum Analysis of gene expression profiles of early Drosophila embryo: exponential-in-distance patterns.
    Research Letters in Signal Processing, Article ID 825758, 5 S., 2008.
  123. S. Dahlke, D. Lorenz, P. Maaß, C. Sagiv, G. Teschke.
    The Canonical Coherent States Associated With Quotients of the Affine Weyl-Heisenberg Group.
    Journal of Applied Functional Analysis, 3(2):215-232, 2008.
  124. S. Dahlke, G. Kutyniok, P. Maaß, C. Sagiv, H. Stark, G. Teschke.
    The uncertainty principle associated with the continuous shearlet transform.
    International Journal of Wavelets, Multiresolution and Information Processing, 6(2):157-181, 2008.

    DOI: 10.1142/S021969130800229X

  125. K. Bredies, T. Bonesky, D. Lorenz, P. Maaß.
    A Generalized Conditional Gradient Method for Non-Linear Operator Equations with Sparsity Constraints.
    Inverse Problems, 23:2041-2058, 2007.
  126. T. Bonesky, K. Bredies, D. Lorenz, P. Maaß.
    A generalized conditional gradient method for nonlinear operator equations with sparsity constraints.
    Inverse Problems, 23(5), 2007.

    DOI: 10.1088/0266-5611/23/5/014

  127. P. B. Gossiaux, J. Aichelin, C. Brandt, T. Gousset, S. Peigné.
    Energy loss of a heavy quark produced in a finite-size quark-gluon plasma.
    Journal of Physics G: Nuclear and Particle Physics, 34(8), 2007.

    DOI: 10.1088/0954-3899/34/8/S103

  128. P. Maaß, B. Kuhfuß, O. Riemer.
    Mathematische Modelle zur tribologischen Optimierung von Zerspanungsprozessen.
    Kolloquium Mikroproduktion - Fortschritte, Verfahren, Anwendungen, Kooperation der Sonderforschungsbereiche 440, 499, 516 und 747 :243-248, 2007.
  129. S. D. Moura, I. Piotrowska, M. Piotrowski.
    Non-smooth atomic decompositions of anisotropic function spaces and some applications.
    Studia Mathematica, 180(2):169-190, 2007.
  130. E. Klann, D. Lorenz, P. Maaß, H. Thiele.
    Shrinkage versus Deconvolution.
    Inverse Problems, 23:2231-2248, 2007.

    DOI: 10.1088/0266-5611/23/5/025

  131. K. Bredies, D. Lorenz, P. Maaß.
    An optimal control problem in medical image processing.
    Systems, Control, Modeling and Optimization, 202:249-259, Springer Verlag, 2006.

    DOI: 10.1007/0-387-33882-9_23

  132. V. Dicken, P. Maaß, R. Ramlau, A. Rienaecker, C. Streller.
    Inverse Imbalance Reconstruction in Rotordynamics.
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 86(5):385-399, WILEY-VCH, 2006.

    DOI: 10.1002/zamm.200410248

  133. E. Klann, P. Maaß, R. Ramlau.
    Two-step regularization methods for linear invrse problems.
    Journal of Inverse and Ill-posed Problems, 14(6):583-607, 2006.

    DOI: 10.1515/156939406778474523

  134. K. Bredies, D. Lorenz, P. Maaß.
    Mathematical Concepts of Multiscale Smoothing.
    Applied and Computational Harmonic Analysis, 19(2):141-161, Elsevier, 2005.

    DOI: 10.1016/j.acha.2005.02.007

  135. V. Dicken, P. Maaß, I. Menz, J. Niebsch, R. Ramlau.
    Nonlinear inverse unbalance reconstruction in rotor dynamics.
    Inverse Problems in Science and Engineering, 13(5):507-543, 2005.
  136. S. Dahlke, P. Maaß, G. Teschke.
    Reconstruction of radar reflectivity densities in a narrowband regime.
    IEEE Transactions on Antennas and Propagation, 52(6):1603-1606, 2004.

    DOI: 10.1109/TAP.2004.829409

  137. S. Dahlke, P. Maaß.
    A Note on Interpolating Scaling functions.
    Communications in Applied Analysis, 7(2):265-275, 2003.
  138. S. Dahlke, P. Maaß, G. Teschke.
    Interpolating Scaling Functions with Duals.
    Journal of Computational Analysis and Application, 5(3):361-373, 2003.
  139. P. Maaß, S. Dahlke, G. Teschke.
    Reconstructions of wideband reflectivity densities by wavelets transforms.
    Advances in Computational Mathematics, 18(2):189-209, Springer Verlag, 2003.

    DOI: 10.1023/A:1021303718373

  140. M. Lukaschewitsch, P. Maaß, M. Pidcock.
    Tikhonov regularization for Electrical Impedance Tomography on unbounded domains.
    Inverse Problems, 19(3):585-610, 2003.

    DOI: 10.1088/0266-5611/19/3/308

  141. T. Köhler, P. Maaß, P. Wust, M. Seebass.
    A fast Algorithm to find optimal controls of multiantenna applicators in regional hyperthermia.
    Physics in Medicine and Biology, 46:2503-2514, IOPscience, 2001.

    DOI: 10.1088/0031-9155/46/9/318

  142. P. Maaß, S. V. Pereverzev, R. Ramlau, S. G. Solodky.
    An Adaptive Discretization for Tikhonov-Phillips Regularization with a Posteriori Parameter Selection.
    Numerische Mathematik, 87(3):485-502, 2001.

    DOI: 10.1007/PL00005421

  143. D. Marpe, G. Blättermann, J. Ricke, P. Maaß.
    A Two-Layered Wavelet-Based Algorithm for Efficient Lossless and Lossy Image Compression.
    IEEE Transactions on Circuits and Systems for Video Technology, 10(7):1094-1102, 2000.

    DOI: 10.1109/76.875514

  144. P. Maaß, G. Teschke, W. Willmann, G. Wollmann.
    Detection and Classification of Material Attributes - a practical application of Wavelet Analysis.
    IEEE Transactions of Signal Processing, 48(8):2432-2439, 2000.

    DOI: 10.1109/78.852022

  145. S. Dahlke, K. Gröchenig, P. Maaß.
    A new approach to interpolating scaling functions.
    Applicable Analysis - An International Journal, 72(3):485-500, 1999.

    DOI: 10.1080/00036819908840755

  146. A. Frommer, P. Maaß.
    Fast CG-Based Methods for Tikhonov--Phillips Regularization.
    SIAM Journal on Scientific Computing, 20(5):1831-1850, 1999.

    DOI: 10.1137/S1064827596313310

  147. K. Dethloff, A. Weisheimer, A. Rinke, D. Handorf, M. V. Kurgansky, W. Jansen, P. Maaß, P. Hupfer.
    Climate variability in a nonlinear atmosphere-like dynamical system.
    Journal of Geophysical Research, 103:25957-25966, 1998.

    DOI: 10.1029/98JD02306

  148. J. Ricke, P. Maaß, E. L. . Hänninen, T. Liebig, H. Amthauer, C. Stroszczynski, W. Schauer, T. Boskamp, M. Wolf.
    Wavelet Versus JPEG (Joint Photographic Expert Group) and Fractal Compression: Impact on the Detection of Low-Contrast Details in Computed Radiographs.
    Investigative Radiology, 33(8):456-463, 1998.
  149. S. Dahlke, P. Maaß.
    Interpolating Refinable Functions And Wavelets For General Scaling Matrices.
    Numerical Functional Analysis and Optimization, 18(5):521-539, Taylor & Francis, 1997.

    DOI: 10.1080/01630569708816776

  150. S. Dahlke, P. Maaß.
    A Continuous Wavelet Transform on Tangent Bundles of Spheres.
    Journal of Fourier Analysis and Applications, 2(4):379-396, 1996.
  151. P. Maaß, R. Ramlau.
    Accelerated iteration methods for inverse problems.
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ICIAM '95 - Sonderband 76:183-186, 1996.
  152. P. Maaß.
    Families of Orthogonal 2D Wavelets.
    SIAM Journal on Mathematical Analysis, 27(5):1454-1481, 1996.

    DOI: 10.1137/S003614109324649X

  153. J. Ewert, P. Maaß.
    Local tomography in non-destructive testing.
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ICIAM '95 - Sonderband 76:179-181, 1996.
  154. P. Maaß, R. Ramlau.
    Wavelet-accelerated regularization methods for hyperthermia treatment planning.
    International Journal of Imaging Systems and Technology, 7(3):191-199, 1996.
  155. V. Dicken, P. Maaß.
    Wavelet-Galerkin Methods for Ill-posed Problems.
    Journal of Inverse and Ill-posed Problems, 4(3):203-222, 1996.
  156. S. Dahlke, P. Maaß.
    Continuous Wavelet Transforms with Applications to Analyzing Functions on Sheres.
    Journal of Fourier Analysis and Applications, 2(4):379-396, 1995.
  157. S. Dahlke, P. Maaß.
    The Affine Uncertainty Principle in One and Two Dimensions.
    Computers & Mathematics with Applications, 30(3):293-305, 1995.

    DOI: 10.1016/0898-1221(95)00108-5

  158. P. Maaß, H. Stark.
    Wavelets and digital image processing.
    Surveys on Mathematics for Industry, 4(3):195-235, 1994.
  159. P. Maaß.
    The Interior Radon Transform.
    SIAM Journal on Applied Mathematics, 52(3):710-724, 1992.

    DOI: 10.1137/0152040

  160. P. Maaß, W. Treimer, U. Feye-Treimer.
    Tomographic Methods for 2D Reconstructions with the Double Cristal Diffractometer.
    IMPACT of Computing in Science and Engineering, 4(3):250-268, Elsevier, 1992.

    DOI: 10.1016/0899-8248(92)90003-Q

  161. W. Treimer, P. Maaß, B. Strothmann, U. Feye-Treimer.
    High-resolution neutron small-angle scattering with a double-crystal diffractometer and 2D reconstruction.
    Physica B: Condensed Matter, 174(1):532-536, Elsevier, 1991.

    DOI: 10.1016/0921-4526(91)90652-U

  162. A. K. Louis, P. Maaß.
    Smoothed projection methods for the moment problem .
    Numerische Mathematik, 59(1):277-294, Springer Verlag, 1991.

    DOI: 10.1007/BF01385781

  163. A. K. Louis, P. Maaß.
    A mollifier method for linear operator equations of the first kind.
    Inverse Problems, 6(3):427-440, IOPscience, 1990.

    DOI: 10.1088/0266-5611/6/3/011

  164. P. Maaß.
    Tomographische Methoden bei Breitband Radar.
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 70(6):539-540, 1990.
  165. P. Maaß.
    Wideband radar: the hyp transform .
    Inverse Problems, 5(5):849-857, IOPscience, 1989.

    DOI: 10.1088/0266-5611/5/5/012

  166. P. Maaß.
    3D Röntgentomographie: Ein Auswahlkriterium für Abtastkurven.
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 68:498-499, 1988.
  167. E. Hairer, P. Maaß.
    Numerical methods for singular nonlinear integro-differential equations .
    Applied Numerical Mathematics, 3(3):243-246, Elsevier, 1987.

    DOI: 10.1016/0168-9274(87)90051-1

  168. P. Maaß.
    The x-ray transform: singular value decomposition and resolution.
    Inverse Problems, 3(4):729-741, IOPscience, 1987.

    DOI: 10.1088/0266-5611/3/4/016

  169. A. C. Crecelius, F. Alexandrov, U. S. Schubert.
    Application of MALDI-MSI to monitor surface changes of UV irradiated poly(styrene) films.
    Research Letters in Signal Processing, 25(19):2809-14.

Tagungsbeiträge (58)

  1. J. Jacobsen, J. Behrmann, R. Zemel, M. Bethge.
    Excessive Invariance Causes Adversarial Vulnerability.
    International Conference on Learning Representations (2019).

    online unter: https://openreview.net/forum?id=BkfbpsAcF7

  2. J. Jacobsen, J. Behrmann, N. Carlini, F. Tramer, N. Papernot.
    Exploiting Excessive Invariance caused by Norm-Bounded Adversarial Robustness.
    SafeML Workshop, ICLR, 2019.

    online unter: https://arxiv.org/abs/1903.10484

  3. J. Behrmann, W. Grathwohl, R. T. Chen, D. Duvenaud, J. Jacobsen.
    Invertible Residual Networks.
    International Conference on Machine Learning (ICML).
    Proceedings of Machine Learning Research, 97:573-582, 2019.

    Long Oral

    online unter: http://proceedings.mlr.press/v97/behrmann19a.html

  4. R. T. Chen, J. Behrmann, D. Duvenaud, J. Jacobsen.
    Residual Flows for Invertible Generative Modeling.
    Invertible Networks and Normalizing Flows workshop, ICML.

    Contributed Talk

    online unter: https://arxiv.org/abs/1906.02735

  5. T. Kluth, B. Hahn, C. Brandt.
    Spatio-temporal concentration reconstruction using motion priors in magnetic particle imaging.
    International Workshop on Magnetic Particle Imaging 2019.
    International Workshop on Magnetic Particle Imaging (IWMPI) Book of Abstracts 2019, S. 23-24, Infinite Science Publishing, 2019.
  6. T. Kluth, B. Jin.
    Exploiting Ill-Posedness in Magnetic Particle Imaging - System Matrix Approximation via Randomized SVD.
    International Workshop on Magnetic Particle Imaging 2017.
    International Workshop on Magnetic Particle Imaging (IWMPI) Book of Abstracts 2017, S. 127-128, Infinite Science Publishing, 2018.
  7. J. Flötotto, T. Kluth, M. Möddel, T. Knopp, P. Maaß.
    Improving Generalization Properties of Measured System Matrices by Using Regularized Total Least Squares Reconstruction in MPI.
    International Workshop on Magnetic Particle Imaging 2017.
    International Workshop on Magnetic Particle Imaging (IWMPI) Book of Abstracts 2017, S. 53-54, Infinite Science Publishing, 2018.
  8. D. Otero Baguer, I. Piotrowska, P. Maaß.
    Inverse Problems in designing new structural materials.
    7th International Conference on High Performance Scientific Computing, 19.03-23.03.2018, Hanoi, Vietnam.
  9. P. Gralla, I. Piotrowska, D. . Rippel, M. Lütjen, P. Maaß.
    Inverting Prediction Models in Micro Production for Process Design.
    5TH INTERNATIONAL CONFERENCE ON NEW FORMING TECHNOLOGY, 18.09.-21.09.2018, Bremen, Deutschland.

    DOI: 10.1051/matecconf/201819015007

  10. C. Bathke, T. Kluth, P. Maaß.
    MPI Reconstruction Using Structural Prior Information and Sparsity.
    International Workshop on Magnetic Particle Imaging 2019.
    International Workshop on Magnetic Particle Imaging (IWMPI) Book of Abstracts 2019, S. 129-130, Infinite Science Publishing, 2018.
  11. C. Bathke, T. Kluth, C. Brandt, P. Maaß.
    Improved image reconstruction in magnetic particle imaging using structural a priori information.
    International Workshop on Magnetic Particle Imaging 2017.
    International Workshop on Magnetic Particle Imaging (IWMPI) Book of Abstracts 2017, S. 85, Infinite Science Publishing, 2017.
  12. T. Kluth, P. Maaß.
    Model uncertainty in magnetic particle iamging: Motivating nonlinear problems by model-based sparse reconstruction.
    International Workshop on Magnetic Particle Imaging 2017.
    International Workshop on Magnetic Particle Imaging (IWMPI) Book of Abstracts 2017, S. 83, Infinite Science Publishing, 2017.
  13. A. Schmidt, C. Niebuhr, D. Niederwestberg, J. Vehmeyer.
    Modelling, simulation, and optimization of thermal deformations from milling processes.
    ECMI 2016.
    Mathematics in Industry, 26:337-343, Springer Verlag, 2017.
  14. A. Schmidt, E. Bänsch, M. Jahn, A. Luttmann, C. Niebuhr, J. Vehmeyer.
    Optimization of Engineering Processes Including Heating in Time-Dependent Domains.
    27th IFIP TC 7 Conference, CSMO 2015, 29.06.-03.07.2015.
    IFIP AICT Series , 494:452-461, Springer Verlag, 2017.
  15. P. Gralla, I. Piotrowska-Kurczewski, P. Maaß.
    Tikhonov Functionals Incorporating Tolerances.
    88th GAMM Annual Meeting of the international Association of Applied Mathematics and Mechanics (GAMM).
    Erscheint in Proc. Appl. Math. Mech..
  16. P. Gralla, I. Piotrowska-Kurczewski, P. Maaß.
    Parameter identification for micro milling processes using inverse problems incorporating tolerances.
    International Congress on engineering, design and Manufacturing 2016, 08.09-10.09.2016, Barcelona, Spanien.
  17. T. Boskamp, D. Lachmund, J. Oetjen, Y. Hernandez-Cordero, J. Behrmann, J. H. Kobarg, R. Casadonte, J. Kriegsmann, P. Maaß.
    Visualizing MALDI TOF datasets of FFPE tissue samples for the purpose of quality assessment and comparison.
    OurCon IV - 2016, 17.10.-21.10.2016, Ustron, Polen.

    online unter: http://www.bioradint.eu/ourcon_public/papersview.php?showdetail=&paper_id=45

  18. T. Reineking, T. Kluth, D. Nakath.
    Adaptive information selection in images: Efficient naive bayes nearest neighbor classification.
    16th International Conference on Computer Analysis of Images and Patterns, Valetta, Malta, 02.09.-04.09.2015.
    Lecture Notes in Computer Science, Proceedings CAIP, 9256:350-361, Springer Verlag, 2015.

    DOI: 10.1007/978-3-319-23192-1_29

  19. W. Zhang, G. Luo, L. Shen, T. Page, P. Li, M. Jiang, P. Maaß, J. Cong.
    FPGA acceleration by asynchronous parallelization for simultaneous image reconstruction and segmentation based on the Mumford-Shah regularization.
    SPIE OPTICAL ENGINEERING + APPLICATIONS, 09.08.-13.08.2015, San Diego, USA.
    Image Reconstruction from Incomplete Data VIII, Volume 9600, P. J. Bones, M. A. Fiddy, R. P. Millane (Hrsg.), SPIE, 2015.

    DOI: 10.1117/12.2187898

  20. J. Vehmeyer, I. Piotrowska-Kurczewski, F. Böhmermann, O. Riemer, P. Maaß.
    Least-squares based parameter identification for a function-related surface optimisation in micro ball-end milling.
    15th CIRP Conference on Modelling Machining Operations (CIRP CMMO), 11.07.-12.07.2015, Karlsruhe, Deutschland.
    Procedia CIRP, 31:276-281, Elsevier, 2015.

    DOI: 10.1016/j.procir.2015.03.076

  21. B. Denkena, A. Schmidt, P. Maaß, D. Niederwestberg, C. Niebuhr, J. Vehmeyer.
    Prediction of Temperature Induced Shape Deviations in dry Milling.
    15th CIRP Conference on Modelling Machining Operations (CIRP CMMO), 11.07.-12.07.2015, Karlsruhe, Deutschland.
    Procedia CIRP, 31:340-345, Elsevier, 2015.

    DOI: 10.1016/j.procir.2015.03.072
    online unter: http://www.sciencedirect.com/science/article/pii/S221282711500387X

  22. P. Li, T. Page, G. Luo, W. Zhang, P. Zhang, P. Wang, P. Maaß, M. Jiang, J. Cong.
    FPGA Acceleration for Simultaneous Medical Image Reconstruction and Segmentation .
    2014 IEEE 22nd Annual International Symposium on Field-Programmable Custom Computing Machines , 11.05.-13.05.2014, Boston, MA, USA.

    DOI: 10.1109/FCCM.2014.54

  23. J. Vehmeyer, I. Piotrowska-Kurczewski, S. Twardy.
    A surface generation model for micro cutting processes with geometrically defined cutting edges.
    MATADOR 37th International Conference, 25th – 27th July, 2012.
    2013, XVII, 448 p. 582 illus, Proceedings of the 37th International MATADOR Conference, S. 149-152, 2013.
  24. A. Bartels, D. Trede, F. Alexandrov, P. Maaß.
    Hybrid Regularization and Sparse Reconstruction of Imaging Mass Spectrometry Data.
    10th International Conference on Sampling Theory and Applications (SampTA'13), 01.07.-05.07.2013, Bremen, Deutschland.

    online unter: http://www.eurasip.org/Proceedings/Ext/SampTA2013/papers/p189-bartels.pdf

  25. D. Trede.
    Exact support recovery for linear inverse problems with sparsity constraint.
    International Conference on Inverse Problems , 26.04.-29,04.2010, Wuhan, China.
    Methods and Applications of Analysis, 18(1):105-110, International Press, Boston, Massachusetts, USA, 2011.

    online unter: http://www.intlpress.com/MAA/MAA-v18.php#MAA-18-1

  26. D. Trede, J. H. Kobarg, K. Steinhorst, F. Alexandrov.
    Mathematical Methods for Imaging Mass Spectrometry.
    14th Joint International IMEKO TC1+TC7+TC13 Symposium, 31.08.-02.09.2011, Jena, Deutschland.

    Best Paper Award at IMEKO Symposium Jena

    online unter: URN: urn:nbn:de:gbv:ilm1-2011imeko-082:8

  27. C. Brandt, J. Niebsch, J. Vehmeyer.
    Modelling of Ultra-precision Turning Process in Consideration of Unbalances.
    13th CIRP Conference on Modeling of Machining Operations, 12-05.-13.05.2011, Sintra, Portugal.
    Proceedings of the 13th CIRP Conference on Modeling of Machining Operations, 223:839-848, 2011.

    DOI: 10.4028/www.scientific.net/AMR.223.839

  28. J. Niebsch, R. Ramlau, C. Brandt.
    On the interaction of unbalances and surface quality in ultra-precision cutting machinery.
    9. Internationale Tagung Schwingungen in rotierenden Systemen SIRM 2011, 21.-23. Februar 2011, Darmstadt, Deutschland.
    Proceedings of the 9th International Conference SIRM 2011, Vibrations in rotating machines, 2011.
  29. E. Ovchinnikova, S. Borgo, A. Oltramari, L. Vieu, F. Alexandrov.
    Data-driven and ontological analysis of FrameNet for natural language reasoning.
    7th Int. Conf. on Language Resources and Evaluation (LREC'10), 2010.
  30. F. Alexandrov, O. Keszöcze, S. Schiffler, K. Steinhorst.
    Peak detection in mass spectrometry data using sparse coding.
    COMPSTAT'10.
  31. C. Brandt, J. Niebsch, P. Maaß, R. Ramlau.
    Simulation of Process Machine Interaction for Ultra Precision Turning.
    2nd International Conference on Process Machine Interactions, 10.06.-11.06.2010, Vancouver, Kanada.
    Proceedings of the 2nd International Conference on Process Machine Interactions, 2010.
  32. F. Alexandrov, O. Keszöcze, S. Schiffler, K. Steinhorst, D. Lorenz.
    An active set approach to the elastic-net and its applications in mass spectrometry.
    Second Workshop "Signal Processing with Adaptive Sparse Structured Representations" (SPARS′09), 06.04.-09.04.2009, St. Malo, Frankreich.

    online unter: http://hal.inria.fr/inria-00369397/en/

  33. E. Ovchinnikova, F. Alexandrov, T. Wandmacher.
    Automatic acquisition of the argument-predicate relations from a frame-annotated corpus.
    Conference on Empirical Methods in Natural Language Processing (EMNLP’09), 2009.
  34. C. Brandt, A. Krause, E. Brinksmeier, P. Maaß.
    Force modelling in diamond machining with regard to the surface generation process.
    9th International Conference and Exhibition on Laser Metrology, machine tool, CMM and robotic performance, 30.06.-02.07.2009, London, Großbritannien.
    Proceedings of the 9th International Conference and Exhibition on Laser Metrology, machine tool, CMM and robotic performance, LAMDAMAP 2009, S. 377-386, 2009.
  35. D. Lorenz, D. Trede.
    Greedy Deconvolution of Point-like Objects.
    Second Workshop "Signal Processing with Adaptive Sparse Structured Representations" (SPARS′09), 06.04.-09.04.2009, St. Malo, Frankreich.
  36. A. Pehlken, A. Decker, P. Maaß, D. H. Müller, K. D. Thoben, S. Todt, M. Rolbiecki, W. Wosniok.
    Knowledge Based Recycling Concept.
    SETAC Europe 19th Annual Meeting, 31.05.2009 - 04.06.2009, Göteborg, Schweden.
  37. A. Pehlken, A. Decker, P. Maaß, D. H. Müller, M. Rolbiecki, K. D. Thoben, S. Todt.
    LC thinking in combination with meta-modeling technique applied to recycling processes.
    4th International Conference on Life Cycle Management, 06.09.2009 - 09.09.2009, Kapstadt, Südafrika.
  38. D. Lorenz, D. Trede.
    Optimal Convergence Rates for Tikhonov Regularization in Besov Scales.
    4th International Conference on Inverse Problems: Modeling and Simulation, 26.05.-30.05.2008, Fethiye, Türkei.
    Journal of Inverse and Ill-Posed Problems, 17(1):69-76, 2009.

    DOI: 10.1515/JIIP.2009.008

  39. F. Alexandrov.
    Self-taught learning for classification of mass spectrometry data: a case study of colorectal cancer.
    German Conference on Bioinformatics'09.
    Lecture Notes in Informatics 157, S. 45-54, 2009.
  40. F. Alexandrov.
    A method of trend extraction using Singular Spectrum Analysis.
    International Conference on Computational Statistics, 24.08-29.08.2008, Porto, Portugal.
    Erscheint in Proceedings of COMPSTAT'08.
  41. K. Bredies.
    An iterative thresholding-like algorithm for inverse problems with sparsity constraints in Banach space.
    4th International Conference on Inverse Problems: Modeling and Simulation, 26.05.-30.05.2008, Fethiye, Türkei.
    Erscheint in Journal of Inverse and Ill-Posed Problems.
  42. F. Alexandrov, N. Golyandina, A. Timofeyev.
    Dependence of accuracy of ESPRIT estimates on signal eigenvalues: the case of a noisy sum of two real exponentials.
    79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, 31.03-04.04.2008, Bremen, Deutschland.
    Proceedings in Applied Mathematics and Mechanics, 8(1):10761–10762, 2008.

    DOI: 10.1002/pamm.200810761

  43. T. Wandmacher, E. Ovchinnikova, F. Alexandrov.
    Does latent semantic analysis reflect human associations?
    20th European Summer School in Logic, Language and Information, 04.08.-15.08.2008, Hamburg, Deutschland.
    Proceedings of the 20th European Summer School in Logic, Language and Information, M. Baroni, S. Evart, A. Lenci (Hrsg.), S. 63-70, 2008.
  44. I. Loresch, H. Schulte, O. Riemer, E. Brinksmeier, P. Maaß, F. Dollinger.
    Mathematical Approaches for the Modelling of Material Removal in Polishing Processes.
    The 1st International Conference on NanoManufacturing, 13.07.-16.07.2008, Singapur, .
    Erscheint in Proceedings of the 1st International Conference on NanoManufacturing.
  45. I. Piotrowska, C. Brandt, H. R. Karimi, P. Maaß.
    Model development for turning process.
    6th International Conference on Manufacturing Research, 09.09.-11.09.2008, Brunel University, West London, Großbritannien.
    Proceedings of the 6th International Conference on Manufacturing Research, S. 859-866, 2008.
  46. C. Brandt, H. R. Karimi, I. Piotrowska, J. Niebsch, R. Ramlau, A. Krause, O. Riemer, P. Maaß.
    Process-Machine Interaction Model for Turning Process.
    The 1st International Conference on Process Machine Interactions, 03.09-04.09.2008, Leibniz Universität Hannover, Deutschland.
    Proceedings of the 1st International Conference on Process Machine Interactions, S. 239-246, 2008.
  47. K. Bredies, F. Alexandrov, J. Decker, D. Lorenz, H. Thiele.
    Sparse deconvolution for peak picking and ion charge estimation in mass spectrometry.
    15th European Conference on Mathematics in Industry'08, 30.06.-04.07.2008, London, Großbritannien.
    Erscheint in Proceedings of 15th European Conference on Mathematics in Industry'08.
  48. D. Lorenz, P. Maaß, H. Preckel, D. Trede.
    Topology-preserving geodesic active contours for segmentation of high-content fluorescent cellular imaging.
    79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, 31.03-04.04.2008, Bremen, Deutschland.
    Proceedings in Applied Mathematics and Mechanics, 8(1):10941-10942, 2008.

    DOI: 10.1002/pamm.200810941

  49. A. Decker, P. Maaß, D. H. Müller, A. Pehlken, M. Rolbiecki, K. D. Thoben, S. Todt, W. Wosniok.
    Unsicherheitsanalyse des Aufbereitungsprozesses am Beispiel Altreifenrecycling.
    Aufbereitung und Recycling 2008, 12.11.-13.11.2008, Freiberg, Deutschland.
    Erscheint in Tagungskompendium Aufbereitung und Recycling 2008.
  50. G. Teschke, U. Görsdorf, P. Körner, D. Trede.
    A New Approach for Target Classification of Ka-Band Radar Data.
    Fourth European Conference on Radar in Meteorology and Hydrology (ERAD), 18.09-22.09.2006, Barcelona, Spanien.
  51. T. Bonesky, K. Bredies, D. Lorenz, P. Maaß.
    On the minimization of non-convex, non-differentiable functionals with an application to SPECT.
    Oberwolfach Report: Mathematical Methods in Tomography.
  52. R. Nordmann, D. Peters, B. Domes, P. Maaß.
    Inverse Determination of Imbalance Distributions.
    8th International Conference on Vibrations in Rotating Machinery, 07.09.-09.09.2004, University of Wales, England.
  53. S. Dahlke, P. Maaß.
    An outline of adaptive wavelet galerkin methods for tikhonov regularization of inverse parabolic problems.
    International Conference on Inverse Problems, 09.01.-12.01.2002, Hong Kong, China.
    Recent development in Theories and Numerics, Y. Hon, M. Yamamoto, J. Cheng, J. Lee (Hrsg.), S. 56-66, World Scientific, 2002.

    DOI: 10.1142/9789812704924_0006

  54. M. Quante, G. Teschke, M. Zhariy, P. Maaß, K. Sassen.
    Extraction and analysis of structural features in cloud radar and lidar data using wavelet based methods.
    2nd European conference on Radar Meteorology, ERAD, 18.11.-22.11.2002, Delft, Niederlande.
    ERAD Publication Series, H. Russchenberg (Hrsg.), 1:95-103, Copernicus Verlag, 2002.
  55. V. Dicken, P. Maaß, B. Ott, M. Thierschmann.
    Eignung von Wavelet-Bilddatenkompressionsverfahren für Satellitenbildaufnahmen.
    Deutscher Luft- u. Raumfahrtkongress - DGLR Jahrestagung 1995, 26.09.-29.09.1995.
  56. P. Maaß.
    Singular value decompositions for Radon transforms.
    Oberwolfach Report: Mathematical Methods in Tomography.

    DOI: 10.1007/BFb0084504

  57. T. Czotscher, D. Otero Baguer, F. Vollertsen, I. Piotrowska-Kurczewski, P. Maaß.
    Connection Between Shock Wave Induced Indentations And Hardness By Means Of Neural Networks.
    22nd International Conference on Material Forming (ESAFORM 2019), 08.05.-10.05.2019.
  58. P. Gralla, I. Piotrowska-Kurczewski, D. . Rippel, M. Lütjen, P. Maaß.
    Eine Methode zur Invertierung von Vorhersagemodellen in der Mikrofertigung.
    8. Kolloquium Mikroproduktion, 27.11.-28.11.2017, Bremen, Deutschland.

Buchkapitel (27)

  1. B. Denkena, P. Maaß, A. Schmidt, D. Niederwestberg, J. Vehmeyer, C. Niebuhr, P. Gralla.
    Thermomechanical Deformation of Complex Workpieces in Milling and Drilling Processes.
    Thermal Effects in Complex Machining Processes - Final Report of the DFG Priority Program 1480, D. Biermann, F. Hollmann (Hrsg.), LNPE, S. 219-250, Springer Verlag, 2017.
  2. E. Ovchinnikova, N. Montazeri, F. Alexandrov, J. Hobbs, M. C. McCord, R. Mulkar-Mehta .
    Abductive Reasoning with a Large Knowledge Base for Discourse Processing.
    Computing Meaning, 47, S. 107-127, Springer Verlag, 2013.

    DOI: 10.1007/978-94-007-7284-7_7

  3. M. Andres, H. Blum, C. Brandt, C. Carstensen, P. Maaß, J. Niebsch, A. Rademacher, R. Ramlau, A. Schröder, E. Stephan, S. Wiedemann.
    Adaptive finite Elements and Mathematical Optimization Methods.
    Process Machine Interactions, B. Denkena, F. Hollmann (Hrsg.), Lecture Notes in Production Engineering, S. 53-77, Springer Verlag, 2013.

    DOI: 10.1007/978-3-642-32448-2

  4. J. H. Kobarg, F. Alexandrov.
    Efficient spatial segmentation of hyper-spectral 3D volume data.
    Algorithms from and for Nature and Life, B. Lausen, D. Van den Poel, A. Ultsch (Hrsg.), Studies in Classification, Data Analysis, and Knowledge Organization, S. 95-103, Springer Verlag, 2013.

    DOI: 10.1007/978-3-319-00035-0_9

  5. I. Piotrowska-Kurczewski, C. Brandt, P. Maaß, O. Riemer.
    Inverse Modelling.
    Micro Metal Forming, F. Vollertsen (Hrsg.), ISBN: 978-3-642-30915-1, S. 267-288, Springer Verlag, 2013.
  6. C. Brandt, A. Krause, J. Niebsch, J. Vehmeyer, E. Brinksmeier, P. Maaß, R. Ramlau.
    Surface Generation Process with Consideration of the Balancing State in Diamond Machining.
    Process Machine Interactions, B. Denkena, F. Hollmann (Hrsg.), Lecture Notes in Production Engineering, S. 329-360, Springer Verlag, 2013.

    DOI: 10.1007/978-3-642-32448-2

  7. G. J. Bauer, D. Lorenz, P. Maaß, H. Preckel, D. Trede.
    Compounds, Drugs and Mathematical Image Processing.
    Production Factor Mathematics, M. Grötschel, K. Lucas, V. Mehrmann (Hrsg.), S. 379-392, Springer Verlag, 2010.

    DOI: 10.1007/978-3-642-11248-5_20

  8. I. Piotrowska, P. Maaß, O. Riemer.
    Flexible Herstellung von tribologisch optimierten Mikroumformwerkzeugen.
    4. Kolloquium Mikroproduktion, F. Vollertsen (Hrsg.), S. 281-286, BIAS Verlag, 2009.
  9. S. Dahlke, P. Maaß, G. Teschke, K. Koch, D. Lorenz, S. Müller, S. Schiffler, A. Stämpfli, H. Thiele, M. Werner.
    Multiscale Approximation.
    Mathematical Methods in Time Series Analysis and Digital Image Processing, R. Dahlhaus, J. Kurths, P. Maaß, J. Timmer (Hrsg.), S. 75-109, Springer Verlag, 2008.
  10. G. J. Bauer, D. Lorenz, P. Maaß, H. Preckel, D. Trede.
    Wirkstoffe, Medikamente und mathematische Bildverarbeitung.
    Produktionsfaktor Mathematik - wie Mathematik Technik und Wirtschaft bewegt, M. Grötschel, K. Lucas, V. Mehrmann (Hrsg.), acatech DISKUTIERT, S. 461-477, acatech - Deutsche Akademie der Technikwissenschaften, 2008.

    DOI: 10.1007/978-3-540-89435-3_20

  11. M. Kulesh, B. Berkels, K. Bredies, C. S. Garbe, J. F. Acker, M. S. Diallo, M. Droske, M. Holschneider, J. Hron, C. Kondermann, P. Maaß, N. Olischläger, H. Peitgen, T. Preusser, M. Rumpf, F. Scherbaum, S. Turek.
    Inverse Problems and Parameter Identification in Image Processing.
    Mathematical Methods in Signal Processing and Digital Image Analysis, R. Dahlhaus, J. Kurths, P. Maaß, J. Timmer (Hrsg.), S. 111-151, Springer Verlag, 2007.

    DOI: 10.1007/978-3-540-75632-3

  12. K. Bredies, D. Lorenz, P. Maaß, G. Teschke.
    A partial differential equation for continuous non-linear shrinkage filtering and its application for analyzing MMG data.
    Wavelet Applications in Industrial Processing, F. Truchetet (Hrsg.), 5266, S. 84-93, SPIE, 2004.

    DOI: 10.1117/12.515945

  13. P. Maaß, C. Boeckmann, A. Mekler.
    Improvement of environment observing remote sensing devices by regularization techniques.
    Mathematics - key technology for the futore, W. Jäger, H. Krebs (Hrsg.), S. 162-172, Springer Verlag, 2003.
  14. V. Dicken, I. Menz, J. Niebsch, P. Maaß, R. Ramlau.
    Inverse Unwuchtidentifikation an Flugtriebwerken mit Quetschöldämpfern.
    Schwingungen in rotierenden Machinen VI, Sirm 2003, A. Irretier, R. Nordmann, H. Springer (Hrsg.), S. 123-137, Vieweg Verlag, 2003.
  15. P. Maaß, M. Ende, D. Kayser, W. Osten, G. Teschke.
    Continuous wavelet methods in signal processing.
    Fringe 2001: 4th International Workshop on Automatic Processing of Fringe Patterns, W. Osten, W. Jüptner (Hrsg.), S. 142-153, Elsevier, 2001.
  16. T. Köhler, P. Maaß, M. Seebass, P. Wust.
    Efficient methods for Hyperthermia treatment planning.
    Surveys on Solution Methods for Inverse Problems, D. Colton, H. W. Engl, A. K. Louis, J. R. Laughlin, W. Rundell (Hrsg.), S. 155-168, Springer Verlag, 2000.
  17. P. Maaß.
    Wavelet Methods and Applications in Physics.
    Advanced Mathematical Methods in Metrology IV, P. Ciarlini, M. G. Cox, F. Pavese, D. Richter (Hrsg.), World Scientific, 1998.
  18. P. Maaß, T. Boskamp, V. Dicken, R. Bischoff, H. Peters, H. Stark.
    Bilddatenkompression mit Wavelet-Methoden.
    Mathematik: Schlüsseltechnologie für die Zukunft, Verbundprojekte zwischen Universität und Industrie, F. Hoffmann, W. Jäger, B. Lohmann, H. Schunck (Hrsg.), S. 385-394, Springer Verlag, 1997.
  19. P. Maaß.
    Wavelet Methods in Signal Processing.
    Advanced Mathimatical Tools in Metrology III, P. Ciarlini, M. G. Cox, F. Pavese, D. Richter (Hrsg.), S. 91-104, World Scientific, 1997.
  20. P. Maaß, A. Rieder.
    Wavelet-accelerated Tikholov-regularisation with applications.
    Inverse Peoblems in Medical Imaging and Nondestructive Testing, H. W. Engl, A. K. Louis, W. Rundell (Hrsg.), S. 134-159, Springer Verlag, 1997.
  21. M. Ende, A. K. Louis, P. Maaß, G. Mayer-Kress.
    EEG signal analysis by continuous wavelet transform techniques.
    Nonlinear Analysis of Physiological Data, H. Kantz, G. Mayer-Kress, J. Kurths (Hrsg.), S. 213-219, Springer Verlag, 1996.
  22. P. Maaß.
    Wavelet-projection methods for inverse problems.
    Beiträge zur Angewandten Analysis und Numerik, E. Schock (Hrsg.), S. 231-224, Shaker Verlag, 1994.
  23. H. Hammer, P. Maaß, A. Rieder, J. Meyer.
    Wavelet Analysis of Auscultatory Blood Pressure Signals.
    Abstracts of the second European conference on Engineering and Medicine, S. 322-323, Elsevier, 1993.
  24. P. Maaß.
    Wideband approximation and Wavelet Transform.
    Radar and Sonar, Part II, F. A. Grünbaum, M. Bernfeld, R. E. Blahut (Hrsg.), S. 83-88, Springer Verlag, 1992.
  25. P. Maaß.
    Singular value decompositions for Radon transforms.
    Mathematical Aspects of Computerized Tomography, G. T. Herman, A. K. Louis, F. Natterer (Hrsg.), Lecture Notes in Mathematics, S. 6-14, Springer Verlag, 1991.

    DOI: 10.1007/BFb0084504

  26. P. Maaß.
    A generalized radon transform in wideband radar.
    Integral Geometry and Tomography, E. Grinberg, E. T. . Quinto (Hrsg.), AMs - Contemporary Mathematics, S. 183-188, AMS - American Mathematical Society, 1990.
  27. P. Maaß.
    Generalized Backus-Gilbert Methods.
    Inverse Methods in Action, P. Sabatier (Hrsg.), S. 440-446, Springer Verlag, 1990.

Qualifikationsarbeiten (21)

  1. T. H. Nguyen.
    Mathematical aspects of catalyst positioning in Lithium-air batteries.
    Dissertationsschrift, Universität Bremen, 2018.

    online unter: Elektronische Bibliothek der Universität Bremen

  2. J. Vehmeyer.
    Geometrische Modellierung und funktionsbezogene Optimierung der inhärenten Textur von Mikrofräsprozessen.
    Dissertationsschrift, Universität Bremen, Logos Verlag, 2016.
  3. P. Dülk.
    Aspects of parameter identification in semilinear reaction-diffusion systems .
    Dissertationsschrift, Universität Bremen, 2015.

    online unter: Elektronische Bibliothek der Universität Bremen

  4. T. Page.
    Image reconstruction by Mumford-Shah regularization with a priori edge information.
    Dissertationsschrift, Universität Bremen, 2015.

    Ausgezeichnet mit dem Studienpreis der unifreunde Bremen

    online unter: Elektronische Bibliothek der Universität Bremen

  5. A. Bartels.
    Data Compression and Compressed Sensing in Imaging Mass Spectrometry and Sporadic Communication.
    Dissertationsschrift, Universität Bremen, Logos Verlag, 2014.

    online unter: http://www.logos-verlag.de/cgi-bin/buch/isbn/3850

  6. R. Strehlow.
    Regularization of the inverse medium problem : on nonstandard methods for sparse reconstruction.
    Dissertationsschrift, Universität Bremen, 2014.

    online unter: http://elib.suub.uni-bremen.de/edocs/00104187-1.pdf

  7. J. H. Kobarg.
    Signal and image processing methods for imaging mass spectrometry data.
    Dissertationsschrift, Universität Bremen, 2014.

    online unter: http://nbn-resolving.de/urn:nbn:de:gbv:46-00104098-10

  8. B. Kanning.
    Instationary Vibrational Analysis for Impulse-type Stimulated Structures.
    Dissertationsschrift, Universität Bremen, Logos Verlag, 2013.
  9. C. Brandt.
    Regularization of Inverse Problems for Turning Processes.
    Dissertationsschrift, Universität Bremen, Logos Verlag, 2013.

    online unter: http://logos-verlag.de/cgi-bin/buch?isbn=3323

  10. Q. M. Pham.
    Sparsity constraints and regularization for nonlinear inverse problems .
    Dissertationsschrift, Universität Bremen, 2012.

    online unter: Elektronische Bibliothek der Universität Bremen

  11. K. Chen.
    Optimal Control Based Image Sequence Interpolation.
    Dissertationsschrift, Universität Bremen, 2011.

    online unter: Elektronische Bibliothek der Universität Bremen

  12. K. Kazimierski.
    Aspects of regularization in Banach spaces.
    Dissertationsschrift, Universität Bremen, 2010.
  13. D. Trede.
    Inverse problems with sparsity constraints: Convergence rates and exact recovery.
    Dissertationsschrift, Universität Bremen, Logos Verlag, 2010.
  14. M. Zhariy.
    Adaptive Frame Based Regularization Methods For Linear Ill-Posed Inverse Problems.
    Dissertationsschrift, Universität Bremen, 2009.
  15. T. Bonesky.
    Regularization of inverse problems and inexact operator evaluations.
    Dissertationsschrift, Universität Bremen, 2009.
  16. L. Prünte.
    Learning Wavelet-Dictionaries and Continuous Dictionaries.
    Dissertationsschrift, Universität Bremen, 2008.
  17. K. Bredies.
    Optimal control of degenerate parabolic equations in image processing.
    Dissertationsschrift, Universität Bremen, 2007.

    Ausgezeichnet mit dem Studienpreis der unifreunde Bremen

  18. D. Trede.
    Parameteroptimierung und Segmentieren mit aktiven Konturen für die High-Content-Analyse beim Hochdurchsatz-Screening.
    Diplomarbeit, Universität Bremen, unpublished diploma thesis, 2007.
  19. I. Piotrowska.
    Weighted Function Spaces and Traces on Fractals.
    Dissertationsschrift, Friedrich-Schiller-Universität Jena, 2006.
  20. P. Maaß.
    Die Konstruktion orthogonaler Wavelets und Anwendungen.
    Habilitationsschrift, Universität des Saarlandes, 1993.
  21. P. Maaß.
    Die Singulärwertzerlegung der Röntgen-Transformation und ihre Anwendungen in der Computer-Tomographie.
    Dissertationsschrift, Technische Universität Berlin, 1988.

Preprints (25)

  1. J. Behrmann, S. Dittmer, P. Fernsel, P. Maaß.
    Analysis of Invariance and Robustness via Invertibility of ReLU-Networks.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1806.09730

  2. S. Dittmer, T. Kluth, P. Maaß, D. Otero Baguer.
    Regularization by architecture: A deep prior approach for inverse problems.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/pdf/1812.03889.pdf

  3. S. Dittmer, E. King, P. Maaß.
    Singular values for ReLU layers.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1812.02566

  4. K. Chen, D. Lorenz.
    Image Sequence Interpolation based on Optical Flow, Segmentation, and Optimal Control.
    Berichte aus der Technomathematik 11-11, Universität Bremen, 2011.
  5. K. Chen, D. Lorenz.
    Image sequence interpolation using optimal control.
    Berichte aus der Technomathematik 11-01, Universität Bremen, 2011.
  6. M. Ehrhardt, H. Villinger, S. Schiffler.
    New Tools for Decomposition of Sea Floor Pressure Data.
    Berichte aus der Technomathematik 11-03, Universität Bremen, 2011.
  7. P. Maaß, Q. M. Pham.
    Semismooth Newton and Quasi-Newton Methods in Weighted l¹-Regularization of Nonlinear Inverse Problems.
    Berichte aus der Technomathematik 11-02, Universität Bremen, 2011.
  8. P. Maaß, Q. M. Pham.
    Sparsity regularization of the diffusion coefficient problem: well-posedness and convergence rates.
    Berichte aus der Technomathematik 11-04, Universität Bremen, 2011.
  9. L. C. Martin, G. Teschke.
    A new method to reconstruct radar reflectivities and Doppler information.
    Berichte aus der Technomathematik 04-01, Universität Bremen, 2004.
  10. J. Soares, G. Teschke, M. Zhariy.
    A Wavelet Regularization for Nonlinear Diffusion Equations.
    Berichte aus der Technomathematik 04-12, Universität Bremen, 2004.
  11. R. Ramlau.
    On the use of fixed point iterations for the regularization of nonlinear ill-posed problems.
    Berichte aus der Technomathematik 04-06, Universität Bremen, 2004.
  12. I. Daubechies, G. Teschke.
    Variational image restoration by means of wavelets: simultaneous decomposition, deblurring and denoising.
    Berichte aus der Technomathematik 04-04, Universität Bremen, 2004.
  13. I. Daubechies, G. Teschke.
    Wavelet based image decomposition by variational functionals.
    Berichte aus der Technomathematik 04-02, Universität Bremen, 2004.
  14. V. Dicken, P. Maaß, I. Menz, J. Niebsch, R. Ramlau.
    Nonlinear Inverse Unbalance Reconstruction in Rotor dynamics.
    Berichte aus der Technomathematik 03-08, Universität Bremen, 2003.
  15. G. Teschke.
    Construction of Generalized Uncertainty Principles and Wavelets in Anisotropic Sobolev Spaces.
    Berichte aus der Technomathematik 02-06, Universität Bremen, 2002.
  16. R. Ramlau.
    TIGRA - an iterative algorithm for regularizing nonlinear ill-posed problems.
    Berichte aus der Technomathematik 02-07, Universität Bremen, 2002.
  17. T. Köhler, P. Maaß.
    Time-series forecasting for total volume data and charge back data.
    Berichte aus der Technomathematik 02-10, Universität Bremen, 2002.
  18. S. Dahlke, G. Steidl, G. Teschke.
    Coorbit Spaces and Banach Frames on Homogeneous Spaces with Applications to Analyzing Functions on Spheres.
    Berichte aus der Technomathematik 01-13, Universität Bremen, 2001.
  19. R. Ramlau.
    Morozov's Discrepancy Principle for Tikhonov regularization of nonlinear operators.
    Berichte aus der Technomathematik 01-08, Universität Bremen, 2001.
  20. S. Dahlke, P. Maaß, G. Teschke.
    Reconstruction of Reflectivity Desities by Wavelet Transforms.
    Berichte aus der Technomathematik 01-10, Universität Bremen, 2001.
  21. R. Ramlau.
    A steepest descent algorithm for the global minimization of Tikhonov-Phillips functional.
    Berichte aus der Technomathematik 00-19, Universität Bremen, 2000.
  22. F. Stenger, A. R. Naghsh-Nilchi, J. Niebsch, R. Ramlau.
    A unified approach to the approximate solution of PDE.
    Berichte aus der Technomathematik 00-17, Universität Bremen, 2000.
  23. R. Ramlau, R. Clackdoyle, F. Noo, G. Bal.
    Accurate Attenuation Correction in SPECT Imaging using Optimization of Bilinear Functions and Assuming an Unknown Spatially-Varying Attenuation Distribution.
    Berichte aus der Technomathematik 00-14, Universität Bremen, 2000.
  24. V. Lehmann, G. Teschke.
    Wavelet Based Methods for Improved Wind Profiler Signal Processing.
    Berichte aus der Technomathematik 00-12, Universität Bremen, 2000.
  25. T. Kluth, B. Jin.
    Enhanced Reconstruction in Magnetic Particle Imaging by Whitening and Randomized SVD Approximation.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1902.01199

Sonstiges (13)

  1. P. Gralla.
    Inverse Problems Using Reduced Basis Method.
    All Theses, 2014.

    Master Thesis

    online unter: http://tigerprints.clemson.edu/all_theses/2007

  2. T. Hein, K. Kazimierski.
    Modified Landweber iteration in Banach spaces - convergence and convergence rates.
    TU Chemnitz, Fakultät für Mathematik, Preprint 14, 2009.
  3. K. Steinhorst, O. Keszöcze, F. Alexandrov.
    Mass spectrometry and wavelet approximation.
    Projektbericht, Universität Bremen, 2008.
  4. C. Evers, K. Hachmann, M. Linden, A. Luttmann, K. Bredies, P. Maaß, F. Alexandrov.
    The Technomatika toolbox: LCMS peakpicking and alignment.
    Projektbericht, Universität Bremen, 2008.
  5. L. Justen, P. Maaß.
    Verbesserte dynamische Festzieleliminierung beim Niederschlagsradar.
    Projektbericht, Universität Bremen, 2008.
  6. S. Dahlke, P. Maaß.
    An Outline of Adaptive Wavelet Galerkin Methods for Tikhonov Regularization of Inverse Parabolic Problems.
    Berichte aus der Technomathematik 02-02, Universität Bremen, 2002.
  7. V. Dicken, P. Maaß, I. Menz, J. Niebsch, R. Ramlau.
    Inverse Unwuchtidentifikation an Flugtriebwerken mit Quetschöldämpfern.
    Berichte aus der Technomathematik 02-09, Universität Bremen, 2002.
  8. P. Maaß, T. Köhler, J. Kalden, L. R. Costa, U. Parlitz, C. Merkwirth, U. Wichard.
    Mathematical methods for forecasting bank transaction data.
    Projektbericht, Preprint Series DFG-SPP 1114, Preprint 24, 2002.
  9. M. Lukaschewitsch, P. Maaß, M. Pidcock.
    Tikhonov regularization for Electrical Impedance Tomography on unbounded domains.
    Berichte aus der Technomathematik 02-08, Universität Bremen, 2002.
  10. T. Köhler, P. Maaß, P. Wust, M. Seebass.
    Efficient methods in hyperthermia treatment planning.
    Berichte aus der Technomathematik 01-01, Universität Bremen, 2001.
  11. S. Dahlke, P. Maaß.
    A Note on Interpolating Scaling Functions.
    Berichte aus der Technomathematik 00-13, Universität Bremen, 2000.
  12. P. Maaß, G. Teschke, W. Willmann, G. Wollmann.
    Detection and Classification of Material Attributes -- A Practical Applicaion of Wavelet Analysis.
    Berichte aus der Technomathematik 00-10, Universität Bremen, 2000.
  13. S. Dahlke, P. Maaß, G. Teschke.
    Interpolating Scaling Functions with Duals.
    Berichte aus der Technomathematik 00-08, Universität Bremen, 2000.