Publikationen der Ehemalige AAG Computational Data Analysis
Zeitschriftenartikel (15)
- S. Dittmer, E. King, P. Maaß.
Singular values for ReLU layers.
IEEE Transactions on Neural Networks and Learning Systems, Article , 2019.online unter: https://ieeexplore.ieee.org/document/8891761
- 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. - 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 - 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. - 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. - 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. - 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 - 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 - R. Reisenhofer, E. King, J. Kiefer.
Shearlet-Based Detection of Flame Fronts.
Experiments in Fluids, 57(3):41:1-41:14, Springer Verlag, 2016. - 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. - W. Czaja, E. King.
Anistropic shearlet transforms for L²(ℝk).
Mathematische Nachrichten, 287(8):903-916, 2014. - 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. - W. Czaja, E. King.
Isotropic shearlet analogs for L²(ℝk) and localization operators.
Numerical Functional Analysis and Optimization, 33:872-905, 2012. - E. King, M. Skopina.
Quincunx multiresolution analysis for L²(ℚ22).
p-Adic Numbers, Ultrametric Analysis and Applications, 2(3):222-231, 2010. - 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.
Tagungsbeiträge (13)
- 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 - E. King.
Algebraic and geometric spread in finite frames.
Wavelets and Sparsity XVI.
SPIE Proceedings, 9597, 2015.DOI: 10.1117/12.2188541
- 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
- E. King.
Frame theory for locally compact abelian groups.
Wavelets and Sparsity XV.
SPIE Proceedings, 8858, 2013.DOI: 10.1117/12.2025018
- 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
- 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. - 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
- 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
- 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
- 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
- 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
- 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. - 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.
Qualifikationsarbeiten (2)
- S. Schulze.
Blind source separation in single-channel polyphonic music recordings.
Dissertationsschrift, Universität Bremen, 2022.online unter: https://media.suub.uni-bremen.de/handle/elib/5816
- 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 (7)
- S. Schulze, E. King.
Formulating Beurling LASSO for Source Separation via Proximal Gradient Iteration.
Zur Veröffentlichung eingereicht.online unter: https://doi.org/10.48550/arXiv.2202.08082
- E. King.
2- and 3-Covariant Equiangular Tight Frames.
Zur Veröffentlichung eingereicht.online unter: https://arxiv.org/abs/1901.10612
- E. King.
Constructing Subspace Packings from Other Packings.
Zur Veröffentlichung eingereicht.online unter: https://arxiv.org/abs/1902.07145
- R. Reisenhofer, E. King.
Edge, Ridge, and Blob Detection with Symmetric Molecules.
Zur Veröffentlichung eingereicht. - 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
- E. King.
New Constructions and Characterizations of Grassmannian Fusion Frames and Packings.
Zur Veröffentlichung eingereicht.online unter: https://arxiv.org/abs/1612.05784
- E. King, X. Tang.
New Upper Bounds for Equiangular Lines by Pillar Decomposition.
Zur Veröffentlichung eingereicht.online unter: https://arxiv.org/abs/1606.03259