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AG Computational Data Analysis
Members Research Publications Software Lectures & Seminars Workshops & Minisymposia

Publications

Preprints

  1. J. Jasper, E. King, D. Mixon.
    Game of Sloanes: Best known packings in complex projective space.
  2. E. King.
    Constructing Subspace Packings from Other Packings.
  3. S. Dittmer, E. King, P. Maass.
    Singular values for ReLU layers.
  4. B. Bodmann, E. King.
    Optimal arrangements of classical and quantum states with limited purity.
  5. S. Schulze, E. King.
    Musical Instrument Separation on Shift-Invariant Spectrograms via Stochastic Dictionary Learning.
  6. E. King. 
    New Constructions and Characterizations of Flat and Almost Flat Grassmannian Fusion Frames.
  7. E. King, X. Tang.
    New Upper Bounds for Equiangular Lines by Pillar Decomposition. 

Articles

  1. R. Reisenhofer, E. King.
    Edge, ridge, and blob detection with symmetric molecules. Supplementary Materials (PDF)
    To appear: SIAM Journal on Imaging Sciences, 2019.
  2. E. King
    2- and 3-Covariant Equiangular Tight Frames.
    To appear: Sampling Theory in Signal and Image Processing: Special Issue SampTA 2019
  3. L. Duflot, R. Reisenhofer, B. Tamadazte, N. Andreff, A. Krupa. 
    Wavelet and Shearlet-Based Image Representations for Visual Servoing. 
    The International Journal of Robotics Research, 2018. 
    DOI: 10.1177/0278364918769739
  4. M. Fickus, J. Jasper, E. King, D. Mixon.
    Equiangular tight frames that contain regular simplices.
    Linear Algebra and its Applications 555:98–138, 2018.
    DOI: 10.1016/j.laa.2018.06.004
  5. L. Bungert, D. A. Coomes, M. Ehrhardt, J. Rasch, R. Reisenhofer, C. Schönlieb.
    Blind Image Fusion for Hyperspectral Imaging with the Directional Total Variation.
    Leon Bungert et al,  Inverse Problems 34 044003, 2018.
    DOI: 10.1088/1361-6420/aaf63
  6. 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, 2018.
    DOI: 10.1016/j.image.2017.11.001
  7. 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
  8. 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:
    Journal of Mathematical Sciences, 234:158-169, 2018.
    DOI: 10.1007/s10958-018-3992-9
  9. 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 
  10. R. Reisenhofer, J. Kiefer, E. King.
    Shearlet-Based Detection of Flame Fronts. 
    Experiments in Fluids, 57(3):41, Springer Verlag, 2016.
    DOI: 10.1007/s00348-016-2128-6
  11. 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
  12. W. Czaja, E. King.
    Anistropic shearlet transforms for L2(ℝk).
    Mathematische Nachrichten, 287(8):903-916, 2014.
    DOI: 10.1002/mana.201000035
  13. 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
  14. 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
  15. E. King, M. Skopina.
    Quincunx multiresolution analysis for L2(ℚ2
    2    ). 
    p-Adic Numbers, Ultrametric Analysis and Applications, 2(3):222-231, 2010.
    DOI: 10.1134/S2070046610030040
  16. 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

Proceedings

  1. S. Schulze, E. King.
    A Frequency-Uniform and Pitch-Invariant Time-Frequency Representation.
    To appear: Proceedings in Applied Mathematics and Mechanics - 90th GAMM Annual Meeting - 2019.
  2. E. J. King (joint work with A. Fink, C. Vinzant, and S. Waldron)
    Decomposing (equiangular) tight frames into (equiangular) tight frames for their spans.
    Oberwolfach Reports -MiniWorkshop: Algebraic, Geometric, and Combinatorial Methods in Frame Theory, 46:29-32, 2018.
    DOI: 10.4171/OWR/2018/46
  3. E. King, J. M. Murphy.
    A theoretical guarantee for data completion via geometric separation.
    Proc. Appl. Math. Mech., 17:833-834, Wiley, 2017.
    DOI: 10.1002/pamm.201710384
  4. E. King.
    Algebraic and geometric spread in finite frames. 
    Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970B  (24 August 2015).
    DOI: 10.1117/12.2188541.
  5. E. King, R. Reisenhofer, J. Kiefer, W. Lim, Z. Li, G. Heygster.
    Shearlet-based edge detection: flame fronts and tidal flats. 
    Proc. SPIE 9599, Applications of Digital Image Processing XXXVIII, 959905 (22 September 2015).
    DOI: 10.1117/12.2188652. 
  6. E. King.
    Frame theory for locally compact abelian groups. 
    Proc. SPIE 8858, Wavelets and Sparsity XV, 88581R (26 September 2013).
    DOI: 10.1117/12.2025018
  7. E. King, G. Kutyniok, W. Lim.
    Image inpainting: theoretical analysis and comparison of algorithms. 
    Proc. SPIE 8858, Wavelets and Sparsity XV,  885802 (26 September 2013).
    DOI: 10.1117/12.2025401.
  8. M. Ehler, E. Dobrosotskaya, E. King, R. Bonner. 
    Quantification of retinal chromophores through autofluorescence imaging to identify precursors of age-related macular degeneration. 
    In: T. Andrews, R. Balan, J. Benedetto, W. Czaja, K. Okoudjou (eds)
    Excursions in Harmonic Analysis: Applied and Numerical Harmonic Analysis, 2:355-371, Birkhäuser, Boston, 2013.
    DOI: 10.1007/978-0-8176-8379-5_18
  9. E. King. 
    Analysis of inpainting via clustered sparsity and microlocal analysis. 
    Oberwolfach Reports: Applied Harmonic Analysis and Sparse Approximation, 9(2):1802-1806, 2012.
    DOI: 10.4171/OWR/2012/29
  10. E. King, G. Kutyniok, X. Zhuang.
    Analysis of data separation and recovery problems using clustered sparsity. 
    Proc. SPIE 8138, Wavelets and Sparsity XIV, 813818 (27 September 2011).
    DOI: 10.1117/12.892723.
  11. E. Dobrosotskaya, M. Ehler, E. King, R. Bonner, W. Czaja. 
    Modeling of the rhodopsin bleaching with variational analysis of retinal images. 
    Proc. SPIE 7962, Medical Imaging 2011: Image Processing, 79624N (31 May 2011).
    DOI: 10.1117/12.878709
  12. M. Ehler, E. Dobrosotskaya, E. King, W. Czaja, R. Bonner. 
    Modeling photo-bleaching kinetics to map local variations in rod rhodopsin density. 
    Proc. SPIE 7963, Medical Imaging 2011: Computer-Aided Diagnosis, 79633R (9 March 2011).
    DOI: 10.1117/12.878421
  13. E. King. 
    Shearlets and representation theory (and the Wick calculus). 
    Oberwolfach Reports - Operator Algebras and Representation Theory: Frames, Wavelets and Fractals, 8:961-963, 2011.
    DOI: 10.4171/OWR/2011/17
  14. M. Ehler, Z. Majumdar, E. King, E. 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
  15. E. Dobrosotskaya, M. Ehler, E. King, R. Bonner, W. Czaja. 
    Sparse representation 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

PhD Theses

Rafael Reisenhofer
 Image Analysis via Applied Harmonic Analysis: Perceptual Image Quality Assessment, Visual Servoing, and Feature Detection. 
Supervisors: Prof. Dr. Emily King, Prof. Dr. Armin Iske
17.09.2018

Frederieke Miesner
Advanced Inverse Modeling of Sediment Thermal Diffusion Processes. 
Supervisors: Prof. Dr. Armin Lechleiter, Prof. Dr. Emily King
05.07.2018

Marcel Rennoch
Regularization Methods in Banach Spaces Applied to Inverse Medium Scattering Problems.
Supervisors: Prof. Dr. Armin Lechleiter, Prof. Dr. Emily King
26.06.2017

Master's Theses

Lukas Zumvorde
 Distributed Kalman Filtering for Large-Scale Dynamic Systems with Sparsely Coupled States.
 Supervisors: Prof. Dr. Henning Paul, Prof. Dr. Emily King
26.09.2018

Sören Dittmer  
Mathematical Analysis of Information Loss and Errors in Neural Networks.
Supervisors: Prof. Dr. Emily King, Prof. Dr. Peter Maaß
14.09.2017

Sören Schulze
Spectogram-based Musical Instrument Separation via Pitch-invariant Dictionaries.
Supervisors: Prof. Dr. Emily King, Prof. Dr. Peter Maaß
29.10.2016

Alina Stürck
Shearlet-based image inpainting.
Supervisors: Prof. Dr. Emily King, Prof. Dr. Götz Pfander (Jacobs University Bremen)
31.03.2015

Joshua Bendig
From One-Dimensional Signals to Hyperspectral Images: Robustness and Numerical Experiments in Compressed Sensing.
Supervisors: Prof. Dr. Peter Maaß, Prof. Dr. Emily King
20.01.2015

Bachelor's Theses

Pegah Golchian
Klaviertonhöhenerkennung mit Convolutional Neural Networks
Supervisors: Sören Schulze
11.01.2019

Laura Breitkopf
Tangent and Curvature Estimation of 2D Point Clouds
Supervisors: Prof. Dr. Emily King,  Prof. Dr. Nate Strawn
26.09.2018