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Publikationen der AAG Computational Data Analysis

Zeitschriftenartikel (10)

  1. R. Reisenhofer, S. Bosse, T. Wiegand, G. Kutyniok.
    A Haar Wavelet-Based Perceptual Similarity Index for Image Quality Assessment.
    Erscheint in Signal Processing: Image Communication

    online unter: https://arxiv.org/abs/1607.06140

  2. 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 to appear in Journal of Mathematical Sciences, Springer

    online unter: ftp://ftp.pdmi.ras.ru/pub/publicat/znsl/v455/p067.pdf

  3. 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

  4. 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

  5. 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

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

    DOI: 10.1002/mana.201000035

  7. 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

  8. 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

  9. 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

  10. 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.

    DOI: 10.1007/s10440-008-9412-2

Tagungsbeiträge (12)

  1. E. King.
    Algebraic and geometric spread in finite frames.
    SPIE Proceedings, Wavelets and Sparsity XVI, 02.10.2015.

    DOI: 10.1117/12.2188541

  2. E. King, R. Reisenhofer, J. Kiefer, W. Lim, Z. Li, G. Heygster.
    Shearlet-based edge detection: flame fronts and tidal flats.
    SPIE Proceedings, Applications of Digital Image Processing XXXVIII, 02.10.2015.

    DOI: 10.1117/12.2188652

  3. E. King.
    Frame theory for locally compact abelian groups.
    SPIE Proceedings, Wavelets and Sparsity XV, 26.09.2013.

    DOI: 10.1117/12.2025018

  4. E. King, G. Kutyniok, W. Lim.
    Image inpainting: theoretical analysis and comparison of algorithms.
    SPIE Proceedings, Wavelets and Sparsity XV, 26.09.2013.

    DOI: 10.1117/12.2025401

  5. M. Ehler, E. 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

  6. E. King.
    Analysis of inpainting via clustered sparsity and mocrolocal analysis.
    Oberwolfach Reports: Applied Harmonic Analysis and Sparse Approximation.
  7. E. King, G. Kutyniok, X. Zhuang.
    Analysis of data separation and recovery problems using clustered sparsity.
    SPIE Proceedings, Wavelets and Sparsity XIV.

    DOI: 10.1117/12.892723

  8. E. 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

  9. M. Ehler, E. Dobrosotskaya, E. King, W. Czaja, R. Bonner.
    Modeling photo-bleaching kinetics to map local variations in rod rhodopsin density.
    Medical Imaging 2011: Image Processing.
    SPIE Proceedings, 7963, 2011.

    DOI: 10.1117/12.878421

  10. E. King.
    Shearlets and representation theory (and the Wick calculus).
    Oberwolfach Reports - Operator Algebras and Representation Theory: Frames, Wavelets and Fractals.
  11. 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, S. 344-347, Springer Verlag, 2010.

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

  12. E. 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, S. 344-347, Springer Verlag, 2010.

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

Preprints (6)

  1. E. King, J. M. Murphy.
    A theoretical guarantee for data completion via geometric separation.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1705.10745

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

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

  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.
    Zur Veröffentlichung eingereicht.
  5. L. Duflot, R. Reisenhofer, B. Tamadazte, N. Andreff, A. Krupa.
    Wavelet and Shearlet-Based Image Representations for Visual Servoing.
    Zur Veröffentlichung eingereicht.
  6. E. King, X. Tang.
    Computing Upper Bounds for Equiangular Lines in Euclidean Spaces.
    Zur Veröffentlichung eingereicht.

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