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Publikationen der AAG Computational Data Analysis

Zeitschriftenartikel (14)

  1. R. Reisenhofer, S. Bosse, T. Wiegand, G. Kutyniok.
    A Haar Wavelet-Based Perceptual Similarity Index for Image Quality Assessment.
    Signal Processing: Image Communication, 61:33-43, Elsevier, 2018.

    DOI: 10.1016/j.image.2017.11.001

  2. L. Bungert, D. A. Coomes, M. Ehrhardt, J. Rasch, R. Reisenhofer, C. Schönlieb.
    Blind Image Fusion for Hyperspectral Imaging with the Directional Total Variation.
    Inverse Problems, 34(4), 23 S., IOPscience, 2018.

    DOI: 10.1088/1361-6420/aaaf63
    online unter: https://arxiv.org/abs/1710.05705

  3. M. Fickus, J. Jasper, E. King, D. Mixon.
    Equiangular tight frames that contain regular simplices.
    Linear Algebra and its Applications, 555, 98–138 S., Elsevier, 2018.

    DOI: 10.1016/j.laa.2018.06.004

  4. H. Karbalaali, A. Javaherian, S. Dahlke, R. Reisenhofer, S. Torabi.
    Seismic Channel Edge Detection Using 3D Shearlets - A Study on Synthetic and Real Channelized 3D Seismic Data.
    Geophysical Prospecting, 66:1272-1289, 2018.

    DOI: 10.1111/1365-2478.12629

  5. L. Duflot, R. Reisenhofer, B. Tamadazte, N. Andreff, A. Krupa.
    Wavelet and Shearlet-Based Image Representations for Visual Servoing.
    International Journal of Robotics Research, , 2018.

    DOI: https://doi.org/10.1177/0278364918769739

  6. E. King, M. Skopina.
    On biorthogonal p-adic wavelet bases.
    Notes of Scientific Seminars of the St. Petersburg Department of the Steklov Mathematical Institute, Russian Academy of Sciences, 455:67-83, 2017.

    English version in Journal of Mathematical Sciences, 234:158-169 (2018)

    DOI: 10.1007/s10958-018-3992-9
    online unter: ftp://ftp.pdmi.ras.ru/pub/publicat/znsl/v455/p067.pdf

  7. G. Kutyniok, W. Lim, R. Reisenhofer.
    ShearLab 3D: Faithful Digital Shearlet Transforms Based on Compactly Supported Shearlets.
    ACM Transactions on Mathematical Software (TOMS), 42(1):5:1-5:42, ACM, 2016.

    DOI: 10.1145/2740960
    online unter: http://doi.acm.org/10.1145/2740960

  8. R. Reisenhofer, E. King, J. Kiefer.
    Shearlet-Based Detection of Flame Fronts.
    Experiments in Fluids, 57(3):41:1-41:14, Springer Verlag, 2016.

    DOI: 10.1007/s00348-016-2128-6

  9. E. King, G. Kutyniok, X. Zhuang.
    Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis.
    Journal of Mathematical Imaging and Vision, 48(2):205-234, Springer Verlag, 2014.

    DOI: 10.1007/s10851-013-0422-y

  10. W. Czaja, E. King.
    Anistropic shearlet transforms for L²(ℝk).
    Mathematische Nachrichten, 287(8):903-916, 2014.

    DOI: 10.1002/mana.201000035

  11. E. King.
    Smooth parseval frames for L²(ℝ) and generalizations to L²(ℝd) .
    International Journal of Wavelets, Multiresolution and Information Processing, 11(6), World Scientific, 2013.

    DOI: 10.1142/S0219691313500471

  12. W. Czaja, E. King.
    Isotropic shearlet analogs for L²(ℝk) and localization operators.
    Numerical Functional Analysis and Optimization, 33:872-905, 2012.

    DOI: 10.1080/01630563.2012.682137

  13. E. King, M. Skopina.
    Quincunx multiresolution analysis for L²(ℚ22).
    p-Adic Numbers, Ultrametric Analysis and Applications, 2(3):222-231, 2010.

    DOI: 10.1134/S2070046610030040

  14. J. Benedetto, E. King.
    Smooth functions associated with wavelet sets on ℝd, d≥1, and frame bound gaps.
    Acta Applicandae Mathematicae, 107(1):121-142, 2009.

    DOI: 10.1007/s10440-008-9412-2

Tagungsbeiträge (13)

  1. E. King, J. M. Murphy.
    A theoretical guarantee for data completion via geometric separation.
    88th GAMM Annual Meeting of the international Association of Applied Mathematics and Mechanics (GAMM).
    Proc. Appl. Math. Mech., 17:833-834, 2018.

    DOI: 10.1002/pamm.201710384
    online unter: https://arxiv.org/abs/1705.10745

  2. E. King.
    Algebraic and geometric spread in finite frames.
    Wavelets and Sparsity XVI.
    SPIE Proceedings, 9597, 2015.

    DOI: 10.1117/12.2188541

  3. E. King, R. Reisenhofer, J. Kiefer, W. Lim, Z. Li, G. Heygster.
    Shearlet-based edge detection: flame fronts and tidal flats.
    Applications of Digital Image Processing XXXVIII.
    SPIE Proceedings, 9599, 2015.

    DOI: 10.1117/12.2188652

  4. E. King.
    Frame theory for locally compact abelian groups.
    Wavelets and Sparsity XV.
    SPIE Proceedings, 8858, 2013.

    DOI: 10.1117/12.2025018

  5. E. King, G. Kutyniok, W. Lim.
    Image inpainting: theoretical analysis and comparison of algorithms.
    Wavelets and Sparsity XV.
    SPIE Proceedings, 8858, 2013.

    DOI: 10.1117/12.2025401

  6. M. Ehler, J. Dobrosotskaya, E. King, R. Bonner.
    Quantification of retinal chromophores through autofluorescence imaging to identify precursors of age-related macular degeneration.
    The February Fourier Talks at the Norbert Wiener Center.
    Excursions in Harmonic Analysis:, 2:355-371, Birkhäuser, 2013.

    DOI: 10.1007/978-0-8176-8379-5_18

  7. E. King.
    Analysis of inpainting via clustered sparsity and microlocal analysis.
    Applied Harmonic Analysis and Sparse Approximation.
    Oberwolfach Reports, 9(2):1802-1806, 2012.

    DOI: 10.4171/OWR/2012/29

  8. E. King, G. Kutyniok, X. Zhuang.
    Analysis of data separation and recovery problems using clustered sparsity.
    Wavelets and Sparsity XIV.
    SPIE Proceedings, 8138, 2011.

    DOI: 10.1117/12.892723

  9. J. Dobrosotskaya, M. Ehler, E. King, R. Bonner, W. Czaja.
    Modeling of the rhodopsin bleaching with variational analysis of retinal images.
    Medical Imaging 2011: Image Processing.
    SPIE Proceedings, 7962, 2011.

    DOI: 10.1117/12.878709

  10. M. Ehler, J. Dobrosotskaya, E. King, W. Czaja, R. Bonner.
    Modeling photo-bleaching kinetics to map local variations in rod rhodopsin density.
    Medical Imaging 2011: Computer-Aided Diagnosis.
    SPIE Proceedings, 7963, 2011.

    DOI: 10.1117/12.878421

  11. E. King.
    Shearlets and representation theory (and the Wick calculus).
    Operator Algebras and Representation Theory: Frames, Wavelets and Fractals.
    Oberwolfach Reports, 8:961-963, 2011.

    DOI: 10.4171/OWR/2011/17

  12. M. Ehler, Z. Majumdar, E. King, J. Dobrosotskaya, E. Chew, W. Wong, D. Cunningham, W. Czaja, R. Bonner.
    High-resolution autofluorescence imaging for mapping molecular processes within the human retina.
    26th Southern Biomedical Engineering Conference, International Federation for Medical & Biomedical Engineering.
    IFMBE Proceedings Series: Intern.Fed. for Medical & Biological Engineering, 32:344-347, Springer Verlag, 2010.

    DOI: 10.1007/978-3-642-14998-6_88

  13. J. Dobrosotskaya, M. Ehler, E. King, R. Bonner, W. Czaja.
    Sparse representations and variational methods in retinal image processing.
    26th Southern Biomedical Engineering Conference, International Federation for Medical & Biomedical Engineering.
    IFMBE Proceedings Series: Intern.Fed. for Medical & Biological Engineering, 32:361-364, Springer Verlag, 2010.

    DOI: 10.1007/978-3-642-14998-6_92

Qualifikationsarbeiten (1)

  1. R. Reisenhofer.
    Image Analysis via Applied Harmonic Analysis: Perceptual Image Quality Assessment, Visual Servoing, and Feature Detection.
    Dissertationsschrift, Universität Bremen, 2018.

    online unter: Elektronische Bibliothek der Universität Bremen

Preprints (8)

  1. E. King.
    2- and 3-Covariant Equiangular Tight Frames.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1901.10612

  2. E. King.
    Constructing Subspace Packings from Other Packings.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1902.07145

  3. R. Reisenhofer, E. King.
    Edge, Ridge, and Blob Detection with Symmetric Molecules.
    Zur Veröffentlichung eingereicht.
  4. S. Schulze, E. King.
    Musical Instrument Separation on Shift-Invariant Spectrograms via Stochastic Dictionary Learning.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1806.00273

  5. B. Bodmann, E. King.
    Optimal arrangements of classical and quantum states with limited purity.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1811.11513

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

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

  7. E. King.
    New Constructions and Characterizations of Grassmannian Fusion Frames and Packings.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1612.05784

  8. E. King, X. Tang.
    New Upper Bounds for Equiangular Lines by Pillar Decomposition.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1606.03259