Preprints

F. Beier, J. von Lindheim, S. Neumayer and G. Steidl, Unbalanced multi-marginal optimal transport, ArXiv preprint 2103.10854, submitted.

R. Beinert, P. Jung, G. Steidl and T. Szollmann, Superresolution for doubly-dispersive channel estimation, ArXiv preprint 2101.11544, submitted.

M. Gräf, S. Neumayer, R. Hielscher, G. Steidl, M. Liesegang and T. Beck, An optical flow model in electron backscatter diffraction, ArXiv preprint 2106.05645, submitted.

J. Hertrich and G. Steidl, Inertial stochastic PALM and its application for learning Student-t mixture models, ArXiv preprint 2005.02204, submitted.

C. Kirisits, M. Quellmalz, M. Ritsch-Marte, O. Scherzer, E. Setterqvist and G. Steidl, Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations, ArXiv preprint 2104.07990, submitted.

Accepted

A. Berdellima and G. Steidl, On alpha-firmly nonexpansive operators in r-uniformly convex spaces, Results in Mathematics, accepted.

S. Dahlke, F. D. Mari, E. D. Vito, M. Hansen, M. Hasannasab, M. Quellmalz, G. Steidl and G. Teschke, Continuous wavelet frames on the sphere: The group-theoretic approach revisited, Applied and Computational Harmonic Analysis, accepted.

J. Hertrich, F. Ba and G. Steidl, Sparse anova inspired mixture models, ETNA, accepted.

J. Hertrich, S. Neumayer and G. Steidl, Convolutional proximal neural networks and plug-and-play algorithms, Linear Algebra and its Applications, accepted.

J. Hertrich, D. P. L. Nguyen, J.-F. Aujol, D. Bernard, Y. Berthoumieu, A. Saadaldin and G. Steidl, PCA reduced Gaussian mixture models with application in superresolution, Inverse Problems and Imaging, acctepted.

P. Koltai, J. von Lindheim, S. Neumayer and G. Steidl, Transfer operators from optimal transport plans for coherent set, Physica D: Nonlinear Phenomena, accepted.

G. Steidl and M. Winkler, A new constrained model for solving the nonsymmetric inverse stochastic eigenvalue problem, Linear and Multilinear Algebra, accepted.

2021

A. Andrele, N. Fachmin, P. Hagemann, V. Soltewisch and G. Steidl, Invertible neural networks versus mcmc for posterior reconstruction in gazing incidence X-ray fluorescence, in Scale Space and Variational Methods in Computer Vision, A. Elmoataz, J. fadili, Y. Quéau, R. Rabin and L. Simon, Eds., ser. LNCS 12679, 2021, pp. 528–539.

R. Beinert and G. Steidl, Robust PCA via regularized reaper with a matrix-free proximal algorithm, Journal of Mathematical Imaging and Vision, vol. 63, pp. 626–649, 2021.

O. Christensen, M. Hasannasab and G. Steidl, On approximate operator representations of sequences in Banach spaces, Complex Analysis and Operator Theory, vol. 15, no. 3, 2021.

M. Ehler, M. Gräf, S. Neumayer and G. Steidl, Curve based approximation of measures on manifolds by discrepancy minimization, Foundations in Computational Mathematics, 2021.

C. Hartman, H. A. Weiss, P. Lechner, W. Volk, S. Neumayer, J. H. Fitschen and G. Steidl, Measurement of strain, strain rate and crack evolution in shear cutting, Journal of Materials Processing Technology, vol. 288, p. 116 872, 2021.

M. Hasanasab, J. Hertrich, F. Laus and G. Steidl, Alternatives of the EM algorithm for estimating the parameters of the Student-t distribution, Numerical Algorithms, vol. 87, pp. 77–118, 2021.

S. Neumayer and G. Steidl, From optimal transport to discrepancy, in Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, Springer, 2021.

C. B. Schoenlieb, H. Zhao, G. Steidl and M. B. Watkin, Principles and trends in mathematical imaging, SIAM News, vol. March, 2021.

2020

T. Batard, J. Hertrich and G. Steidl, Variational models for color image correction inspired by visual perception and neuroscience, Journal of Mathematical Imaging and Vision, vol. 62, no. 9, pp. 1173–1194, 2020.

R. H. Chan, A. Cohen, J. Fadili, A. Hero and G. Steidl, Guest editorial: Special issue in memory of mila nikolova, Journal of Mathematical Imaging and Vision, vol. 62, 2020.

M. Hasannasab, J. Hertrich, S. Neumayer, G. Plonka, S. Setzer and G. Steidl, Parseval proximal neural networks, The Journal of Fourier Analysis and its Applications, vol. 26, pp. 1–31, 2020.

D. Havenstein, P. Lysakovski, N. May, G. Moerkotte and G. Steidl, Fast entropy maximization for selectivity estimation of conjunctive predicates on CPUs and GPUs, in Proceedings of the 23rd International Conference on Extending Database Technology (EDBT), 2020, pp. 1–9.

S. Neumayer, M. Nimmer, S. Setzer and G. Steidl, On the rotational invariant l1-norm PCA, Linear Algebra and its Applications, vol. 587, pp. 243–270, 2020.

M. Bacak, J. Hertrich, S. Neumayer and G. Steidl, Minimal Lipschitz and inftinity–harmonic extensions of vector-valued functions on finite graphs, Information and Inference: A Journal of the IMA, vol. 9, no. 4, pp. 935–959, 2019.

S. Neumayer, M. Nimmer, S. Setzer and G. Steidl, On the robust PCA and Weiszfeld’s algorithm, Applied Mathematics and Optimization, vol. 82, pp. 1017–1048, 2019.

2019

J.-F. Aujol, J. Fadili, M. Hintermüller, G. Peyré, G. Plonka-Hoch and G. Steidl, Guest Editorial JMIV Special Issue Mathematics and Image Analysis (MIA), J. Math. Imaging Vis., vol. 61, no. 5, 2019.

F. Balle, T. Beck, D. Eifler, J. H. Fitschen, S. Schuff and G. Steidl, Strain analysis by a total generalized variation regularized optical flow model, Inverse Problems in Science and Engineering, vol. 27, no. 4, 2019.

T. Batard, M. Bertalmio and G. Steidl, A connection between image processing and artificial neural network layers through a geometric model of visual perception, in Scale Space and Variational Methods in Computer Vision, M. Burger, J. Lellmann and J. Modersitzki, Eds., ser. LNCS, 2019.

R. Bergmann, F. Laus, J. Persch and G. Steidl, Recent advances in denoising of manifold-valued images, in Handbook of Numerical Analysis, R. Kimmel and X.-C. Tai, Eds., vol. HNA 20, Elsevier, 2019, pp. 553–578.

X. Cai, R. Chan, C.-B. Schönlieb, G. Steidl and T. Zeng, Linkage between piecewise constand Mumford-Shah model and ROF model and its virtue in image segmentation, SIAM Journal on Scientific Computing, vol. 41, no. 6, pp. 1310–1340, 2019.

S. Dahlke, Q. Jahan, C. Schneider, G. Steidl and G. Teschke, Traces of shearlet coorbit spaces on domains, Applied Mathematics Letters, vol. 91, pp. 35–40, 2019.

S. Dahlke, F. D. Mari, E. D. Vito, L. Sawatzki, G. Steidl, G. Teschke and F. Voigtlaender, On the atomic decomposition of coorbit spaces with non-integrable kernel, in Landscapes of Time-Frequency Analysis, P. Boggiatto, E. Cordero, M. de Gosson, H. G. Feichtinger, F. Nicola, A. Oliaro and A. Tabacco, Eds., Birkhäuser, 2019, pp. 75–144.

D. Dobrovolskij, J. Persch, K. Schladitz and G. Steidl, Structure detection with second order Riesz transforms, Image Analysis & Stereology, vol. 38, no. 1, pp. 107–119, 2019.

J. Hertrich, M. Bačák, S. Neumayer and G. Steidl, Minimal Lipschitz extensions for vector-valued functions on finite graphs, in Scale Space and Variational Methods in Computer Vision, M. Burger, J. Lellmann and J. Modersitzki, Eds., ser. LNCS, 2019.

F. Laus and G. Steidl, Multivariate myriad filters based on parameter estimation of Student-t distributions, SIAM Journal on Imaging Sciences, vol. 12, no. 4, pp. 1864–1904, 2019.

J. Lellmann, S. Neumayer, M. Nimmer and G. Steidl, Methods for finding the offset in robust space fitting, PAMM, vol. 19, no. 1, e201900323, 2019.

S. Neumayer, J. Persch and G. Steidl, Regularization of inverse problems via time discrete geodesics in image spaces, Inverse Problems, vol. 35, no. 5, 2019.

2018

R. Bergmann, J. H. Fitschen, J. Persch and G. Steidl, Priors with coupled first and second order differences for manifold-valued image processing, Journal of Mathematical Imaging and Vision, vol. 60, no. 9, pp. 1459–1481, 2018.

F. Laus, F. Pierre and G. Steidl, Nonlocal myriad filters for Cauchy noise removal, Journal of Mathematical Imaging and Vision, vol. 60, no. 8, pp. 1324–1354, 2018.

S. Neumayer, J. Persch and G. Steidl, Morphing of manifold-valued images inspired by discrete geodesics in image spaces, SIAM Journal of Imaging Sciences, vol. 11, no. 3, pp. 1898–1930, 2018.

M. Nimmer, G. Steidl, R. Riesenberg and A. Wuttig, Spectral imaging based on 2D diffraction patterns and a regularization model, Optics Express, vol. 26, no. 22, pp. 28 335–28 348, 2018.

G. Plonka, D. Potts, G. Steidl and M. Tasche, Numerical Fourier Analysis, ser. Applied and Numerical Harmonic Analysis. Birkhäuser, 2018.

2017

M. Bačák, M. Montag and G. Steidl, Convergence of functions and their Moreau envelopes on Hadamard spaces, Journal of Approximation Theory, vol. 224, pp. 1–12, 2017.

B. Bauer, X. Cai, S. Peth, K. Schladitz and G. Steidl, Variational-based segmentation of biopores in tomographic images, Computers & Geosciences, vol. 98, pp. 1–8, 2017.

R. Bergmann, J. H. Fitschen, J. Persch and G. Steidl, Iterative multiplicative filters for data labeling, International Journal of Computer Vision, vol. 123, no. 3, pp. 123–145, 2017.

R. Bergmann, F. Laus, J. Persch and G. Steidl, Processing manifold-valued images, Siam News, vol. 50, no. 8, pp. 1, 3, 2017.

M. Burger, A. Sawatzky and G. Steidl, First order algorithms in variational image processing, in First order algorithms in variational image processing, R. Glowinski, S. Osher and W. Yin, Eds., Springer, 2017.

S. Dahlke, F. D. Mari, E. D. Vito, D. Labate, G. Steidl, G. Teschke and S. Vigogna, Coorbit spaces with voice in a Fréchet space, The Journal of Fourier Analysis and its Applications, vol. 23, no. 1, pp. 141–206, 2017.

J. Fadili, K. G, G. Peyré, G. Plonka-Hoch and G. Steidl, Guest Editorial JMIV Special Issue Mathematics and Image Analysis (MIA), J. Math. Imaging Vis., vol. 59, no. 3, 2017.

J. H. Fitschen, K. Losch and G. Steidl, Unsupervised multi class segmentation of 3D images with intensity inhomogeneities, Journal of Visual Communication and Image Representation, vol. 46, pp. 312–323, 2017.

J. H. Fitschen, J. Ma and S. Schuff, Removal of curtaining effects by a variational model with directional forward differences, Computer Vision and Image Understanding, vol. 155, pp. 24–32, 2017.

F. Laus, M. Nikolova, J. Persch and G. Steidl, A nonlocal denoising algorithm for manifold-valued images using second order statistics, SIAM Journal on Imaging Sciences, vol. 10, no. 1, pp. 416–448, 2017.

T. H. Loeber, B. Laegel, S. Wolff, S. Schuff, F. Balle, T. Beck, D. Eifler, J. H. Fitschen and G. Steidl, Reducing curtaining effects in FIB/SEM applications by a goniometer stage and an image processing method, Journal of Vacuum Science & Technology B, vol. 35, no. 6, 2017.

S. Neumayer, M. Nimmer and G. Steidl, On a projected Weiszfeld algorithm, in Scale Space and Variational Methods in Computer Vision, F. Lauze, Y. Dong and A. B. Dahl, Eds., ser. LNCS, vol. 10302, 2017, pp. 486–497.

J. Persch, F. Pierre and G. Steidl, Exemplar-based face colorization using image morphing, Journal of Imaging, vol. 3, no. 4, 2017, Art. No. 48.

F. Pierre, J.-F. Aujol, A. Bugeau, S. Steidl and V.-R. Ta, Variational contrast enhancement of gray-scale and RGB images, Journal of Mathematical Imaging and Vision, vol. 57, no. 1, pp. 99–116, 2017.

2016

M. Bačák, R. Bergmann, G. Steidl and A. Weinmann, A second order non-smooth variational model for restoring manifold-valued images, SIAM Journal on Scientific Computing, vol. 38, no. 1, pp. 567–597, 2016.

R. Bergmann, R. H. Chan, R. Hielscher, J. Persch and G. Steidl, Restoration of manifold-valued images by half-quadratic minimization, Inverse Problems and Imaging, vol. 10, no. 2, pp. 281–304, 2016.

R. Bergmann, J. Persch and G. Steidl, A parallel Douglas-Rachford algorithm for minimizing ROF-like functionals on images with values in symmetric Hadamard manifolds, SIAM Journal on Imaging Sciences, vol. 9, no. 3, pp. 901–937, 2016.

S. Dahlke, F. D. Mari, E. D. Vito, S. Häuser, G. Steidl and G. Teschke, Different faces of the shearlet group, The Journal of Geometric Analysis, vol. 26, no. 3, pp. 1693–1729, 2016.

J. H. Fitschen, F. Laus and G. Steidl, Transport between RGB images motivated by dynamic optimal transport, Journal of Mathematical Imaging and Vision, vol. 56, no. 3, pp. 409–429, 2016.

F. Pierre, J.-F. Aujol, A. Bugeau, G. Steidl and V. T. Ta, Hue-preserving perceptual contrast enhancement, Proc. International Conference on Image Processing (ICIP) 2016, 2016, pp. 1–5.

2015

F. Balle, D. Eifler, J. H. Fitschen, S. Schuff and G. Steidl, Computation and visualization of local deformation for multiphase metallic materials by infimal convolution of TV-type functionals, in Scale Space and Variational Methods in Computer Vision, J.-F. Aujol, M. Nikolova and N. Papadakis, Eds., ser. LNCS, vol. 9087, 2015, pp. 385–396.

X. Cai, J. H. Fitschen, M. Nikolova, G. Steidl and M. Storath, Disparity and optical flow partitioning using extended potts priors, MA Journal of Information and Inference, vol. 4, no. 1, pp. 43–62, 2015.

S. Dahlke, S. Häuser, G. Steidl and G. Teschke, Shearlet coorbit spaces: Traces and embeddings in higher dimensions, Monatshefte für Mathematik, vol. 169, no. 1, pp. 15–32, 2015.

S. Dahlke, S. Häuser, G. Steidl and G. Teschke, Shearlet coorbit theory, in Harmonic and Applied Analysis, S. Dahlke, F. DeMari, P. Grohs and D. Labate, Eds., Birkhäuser, 2015, pp. 83–147.

J. Fadili, K. G, G. Peyré, G. Plonka-Hoch and G. Steidl, Guest Editorial JMIV Special Issue Mathematics and Image Analysis (MIA), J. Math. Imaging Vis., vol. 52, no. 3, 2015.

J. Fehrenbach, M. Nikolova, G. Steidl and P. Weiss, Bilevel image denoising using Gaussianity tests, in Scale Space and Variational Methods in Computer Vision, J.-F. Aujol, M. Nikolova and N. Papadakis, Eds., ser. LNCS, vol. 9087, 2015, pp. 117–128.

J. H. Fitschen, F. Laus and G. Steidl, Dynamic optimal transport with mixed boundary condition for color image processing, in International Conference on Sampling Theory and Applications (SampTA), 2015, 2015, pp. 558–562.

J. H. Fitschen, M. Nikolova, F. Pierre and G. Steidl, A variational model for color assignment, in Scale Space and Variational Methods in Computer Vision, J.-F. Aujol, M. Nikolova and N. Papadakis, Eds., ser. LNCS, vol. 9087, 2015, pp. 437–448.

G. Moerkotte, M. Montag, A. Repetti and G. Steidl, Proximal operator of quotient functions with application to a feasibility problem in query optimization, Journal of Computational and Applied Mathematics, vol. 285, pp. 243–255, 2015.

Z. Mortezapouraghdam, L. Haab, F. I. Corona-Strauss, G. Steidl and D. J. Strauss, Assessment of long-term habituation correlates in event-related potentials using a von mises model, IEEE Transactions on Neural Systems & Rehabilitation Engineering, pp. 363–373, 2015.

G. Steidl, Combined first and second order variational approaches for image processing, Jahresbericht der Deutschen Mathematiker-Vereinigung 2015, vol. 117, no. 2, pp. 133–160, 2015.

2014

F. Baus, M. Nikolova and G. Steidl, Fully smoothed l1-TV models: Bounds for the minimizers and parameter choice, Journal of Mathematical Imaging and Vision, vol. 48, no. 2, pp. 295–307, 2014.

R. Bergmann, F. Laus, G. Steidl and A. Weinmann, Second order differences of cyclic data and applications in variational denoising, SIAM Journal on Imaging Sciences, vol. 7, no. 4, pp. 2916–2953, 2014.

S. Häuser, B. Heise and G. Steidl, Linearized Riesz transform and quasi-monogenic shearlets, International Journal of Wavelets, Multiresolution and Information Processing, vol. 12, no. 3, p. 1 450 027, 2014.

S. H. Kang, B. Shafei and G. Steidl, Supervised and transductive multi-class segmentation using p-Laplacians and RKHS methods, J. Visual Communication and Image Representation, vol. 25, no. 5, pp. 1136–1148, 2014.

G. Kutyniok, W. Lim and G. Steidl, Shearlets: Theory and applications, GAMM-Mitteilungen, vol. 37, no. 2, pp. 259–280, 2014.

A. Liebscher, J. Meinhardt, A. Rack, K. Schladitz, B. Shafei, G. Steidl and O. Wirjadi, Microstructural analysis of a C/SiC ceramic based on the segmentation of 3D image data, International Journal of Materials Research, vol. 105, no. 7, pp. 702–708, 2014.

M. Nikolova and G. Steidl, Fast hue and range preserving histogram specification: Theory and new algorithms for color image enhancement, IEEE Transactions on Image Processing, vol. 23, no. 9, pp. 4087–4100, 2014.

M. Nikolova and G. Steidl, Fast ordering algorithm for exact histogram specification, IEEE Transactions on Image Processing, vol. 23, no. 12, pp. 5274–5283, 2014.

J. K. Schubert, E. Gonzalez-Trejo, W. Retz, M. Rösler, F. I. Corona-Strauss, G. Steidl, T. Teuber and D. J. Strauss, Dysfunctional cortical inhibition in adult ADHD: Neural correlates in auditory event-related potentials, Journal of Neuroscience Methods, vol. 235, pp. 181–188, 2014.

2013

X. Cai and G. Steidl, Multiclass segmentation by iterated ROF thresholding, in Energy Minimization Methods in Computer Vision and Pattern Recognition, F. Kahl, A. Heyden, C. Olsson, M. Oskarsson and C.-C. Tai, Eds., ser. LNCS, Berlin: Springer, 2013, pp. 237–250.

R. Ciak, B. Shafei and G. Steidl, Homogeneous penalizers and constraints in convex image restoration, Journal of Mathematical Imaging and Vision, vol. 47, no. 3, pp. 210–230, 2013.

M. Fornasier, J. Haskovec and G. Steidl, Consistency of variational continuous-domain quantization via kinetic theory, Applied Analysis, vol. 92, no. 6, pp. 1283–1298, 2013.

S. Harizanov, J.-C. Pesquet and G. Steidl, Epigraphical projection for solving least squares Anscombe transformed constrained optimization problems, in Scale Space and Variational Methods in Computer Vision, A. Kuijper, K. Bredies, T. Pock and H. Bischof, Eds., ser. LNCS, vol. 7893, Berlin: Springer, 2013, pp. 125–136.

S. Häuser and G. Steidl, Convex multiclass segmentation with shearlet regularization, International Journal of Computer Mathematics, vol. 90, no. 1, pp. 62–81, 2013.

S. Setzer, G. Steidl and J. Morgenthaler, A cyclic projected gradient method, Computational Optimization and Applications, vol. 54, no. 2, pp. 417–440, 2013.

D. J. Strauss, T. Teuber, G. Steidl and F. I. Corona-Strauss, Exploiting the self-similarity in ERP images by nonlocal means for single-trial denoising, IEEE Transactions on Neural Systems and Rehabilitation Engineering, vol. 21, no. 4, pp. 576–583, 2013.

T. Teuber, G. Steidl and R. H. Chan, Minimization and parameter estimation for seminorm regularization models with I-divergence constraints, Inverse Problems, vol. 29, pp. 1–28, 2013.

2012

S. Dahlke, G. Steidl and G. Teschke, Multivariate shearlet transform, shearlet coorbit spaces and their structural properties, in Shearlets, Multiscale Analysis for Multivariate Data, G. Kutyniok and D. Labate, Eds., Birkhäuser, 2012, pp. 105–144.

M. Gräf, D. Potts and G. Steidl, Quadrature nodes meet stippling dots, in Proceedings SSVM 2011, A. M. Bruckstein, B. M. ter Haar Romney, A. M. Bronstein and M. M. Bronstein, Eds., Springer, 2012, pp. 568–580.

M. Gräf, D. Potts and G. Steidl, Quadrature rules, discrepancies and their relations to halftoning on the torus and the sphere, SIAM Journal on Scientific Computing, vol. 34, no. 5, pp. 2760–2791, 2012.

Y. He, B. Shafei, M. Y. Hussaini, J. Ma and G. Steidl, A new fuzzy c-means method with total variation regularization for segmentation of images with noisy and incomplete data, Pattern Recognition, vol. 45, pp. 3436–3471, 2012.

S. Setzer, G. Steidl and T. Teuber, On vector and matrix median computation, Journal of Computational and Applied Mathematics, vol. 236, pp. 2200–2222, 2012.

B. Shafei and G. Steidl, Segmentation of images with separating layers by fuzzy c-means and convex optimization, J. Visual Communication and Image Representation, vol. 23, pp. 611–621, 2012.

T. Teuber, S. Remmele, J. Hesser and G. Steidl, Denoising by second order statistics, Signal Processing, vol. 92, no. 12, pp. 2837–2847, 2012.

2011

S. Dahlke, G. Steidl and G. Teschke, Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings, The Journal of Fourier Analysis and its Applications, vol. 17, no. 6, pp. 1232–1255, 2011.

S. Setzer, G. Steidl and T. Teuber, Infimal convolution regularizations with discrete l1-type functionals, Communications in Mathematical Sciences, vol. 9, no. 3, pp. 797–872, 2011.

G. Steidl, Supervised learning by support vector machines, in Handbook of Mathematical Methods in Imaging, O. Scherzer, Ed., Springer, 2011, pp. 959–1014.

T. Teuber, G. Steidl, P. Gwosdek, C. Schmaltz and J. Weickert, Dithering by differences of convex functions, SIAM Journal on Imaging Science, vol. 4, no. 1, pp. 79–108, 2011.

2010

S. Dahlke, G. Steidl and G. Teschke, The continuous shearlet transform in arbitrary dimensions, The Journal of Fourier Analysis and ist Applications, vol. 16, no. 3, pp. 340–464, 2010.

S. Didas, G. Steidl and J. Weickert, Integrodifferential equations for multiscale wavelet shrinkage: The discrete case, International Journal of Electrical and Computer Engineering Systems, vol. 1, no. 1, pp. 5–21, 2010.

S. Setzer, G. Steidl and T. Teuber, Deblurring Poissonian images by split Bregman techniques, Journal of Visual Communication and Image Representation, vol. 21, pp. 193–199, 2010.

S. Setzer, G. Steidl, T. Teuber and G. Moerkotte, Approximation related to quotient functionals, Journal of Approximation Theory, vol. 162, no. 3, pp. 545–558, 2010.

G. Steidl and T. Teuber, Removing multiplicative noise by Douglas-Rachford splitting methods, Journal of Mathematical Imaging and Vision, vol. 36, no. 2, pp. 168–184, 2010.

2009

S. Dahlke, G. Kutyniok, G. Steidl and G. Teschke, Shearlet coorbit spaces and associated Banach frames, Applied and Computational Harmonic Analysis, vol. 27, no. 2, pp. 195–214, 2009.

S. Didas, G. Steidl and S. Setzer, Combined l2 data and gradient fitting in conjunction with l1 regularization, Advances in Computational Mathematics, vol. 30, no. 1, pp. 79–99, 2009.

G. Moerkotte, T. Neumann and G. Steidl, Preventing bad plans by bounding the impact of cardinality estimation errors, in Proc. of the VLDB, vol. 2, 2009, pp. 982–993.

S. Setzer, G. Steidl, B. Popilka and B. Burgeth, Variational methods for denoising matrix fields, in Visualization and Processing of Tensor Fields, Advances and Perspectives, ser. Mathematics and Visualization, D. H. Laidlaw and J. Weickert, Eds., 2009, pp. 341–360.

G. Steidl and T. Teuber, Anisotropic smoothing using double orientation, in Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2009, Voss, Norway, June 1-5, 2009. Proceedings, A. Lie, M. Lysaker, K. Morken and X.-C. Tai, Eds., Springer, 2009, pp. 477–489.

G. Steidl and T. Teuber, Diffusion tensors for denoising sheared and rotated rectangles, IEEE Transactions on Image Processing, vol. 18, no. 12, pp. 2640–2648, 2009.

J. Yuan, C. Schnörr and G. Steidl, Total-variation based piecewise affine regularization, in Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2009, Voss, Norway, June 1-5, 2009. Proceedings, A. Lie, M. Lysaker, K. Morken and X.-C. Tai, Eds., Springer, 2009, pp. 552–564.

J. Yuan, C. Schnörr and G. Steidl, Convex Hodge decomposition and regularization of image flows, Journal of Mathematical Imaging and Vision, vol. 33, no. 2, pp. 169–177, 2009.

2008

R. H. Chan, S. Setzer and G. Steidl, Inpainting by flexible Haar-wavelet shrinkage, SIAM Journal on Imaging Science, vol. 1, pp. 273–293, 2008.

R. Dahlhaus, J. Franke, J. Polzehl, V. Spokoiny, G. Steidl, J. Weickert, A. Berdychevski, S. Didas, S. Halim, P. Mrazek, S. S. Rao and J. Tadjuidje, Structural adaptive smoothing procedures, in Mathematical Methods for Time Series Analysis and Digital Image Processing, R. Dahlhaus, J. Kurths, P. Maass and J. Timmer, Eds., Berlin: Springer, 2008, pp. 183–229.

S. Dahlke, M. Fornasier, H. Rauhut, G. Steidl and G. Teschke, Generalized coorbit theory, Banach frames and the relation to alpha-modulation spaces, in Proc. London Mathematical Society, vol. 6, 2008, pp. 464–506.

S. Setzer and G. Steidl, Variational methods with higher order derivatives in image processing, in Approximation XII, (San Antonio, USA), M. Neamtu and L. L. Schumaker, Eds., Brentwood: Nashboro Press, 2008, pp. 360–386.

S. Setzer, G. Steidl and T. Teuber, Restoration of images with rotated shapes, Numerical Algorithms, vol. 48, pp. 49–66, 2008.

M. Welk, G. Steidl and J. Weickert, Locally analytic schemes: A link between diffusion filtering and wavelet shrinkage, Applied and Computational Harmonic Analysis, vol. 24, pp. 195–224, 2008.

2007

S. Dahlke, G. Steidl and G. Teschke, Frames and coorbit theory on homogeneous spaces with a special guidance on the sphere, The Journal of Fourier Analysis and Applications, vol. 13, no. 4, pp. 387–403, 2007.

B. Popilka, S. Setzer and G. Steidl, Signal recovery from incomplete measurements in the presence of outliers, Inverse Problems and Imaging, vol. 1, no. 4, pp. 661–672, 2007.

G. Steidl, S. Setzer, B. Popilka and B. Burgeth, Restoration of matrix fields by second order cone programming, Computing, vol. 81, pp. 161–178, 2007.

J. Yuan, C. Schnörr and G. Steidl, Simultaneous higher order optical flow estimation and decomposition, SIAM J. Sci. Comput., vol. 29, no. 6, pp. 2283–2304, 2007.

2006

M. Fenn and G. Steidl, Robust local approximation of scattered data, in Geometric Properties from Incomplete Data, R. Klette, R. Kozera, L. Noakes and J. Weickert, Eds., 2006, pp. 317–334.

S. Kunis, D. Potts and G. Steidl, Fast Gauss transforms with complex parameters using NFFTs, Journal of Numerical Mathematics, vol. 14, no. 4, pp. 295–303, 2006.

G. Plonka and G. Steidl, A multiscale wavelet-inspired scheme for nonlinear diffusion, International Journal of Wavelets, Multiresolution and Information Processing, vol. 4, no. 1, pp. 1–21, 2006.

G. Steidl, A note on the dual treatment of higher order regularization functionals, Computing, vol. 76, pp. 135–148, 2006.

G. Steidl, S. Didas and J. Neumann, Splines in higher order TV regularization, International Journal of Computer Vision, vol. 70, pp. 241–255, 2006.

M. Welk, J. Weickert and G. Steidl, From tensor-driven diffusion to anisotropic wavelet shrinkage, in Computer Vision - ECCV 2006, H. Bischof, A. Leonardis and A. Pinz, Eds., ser. LNCS, vol. 3951, 2006, pp. 391–403.

2005

A. Kryvanos, J. Hesser and G. Steidl, Nonlinear image restoration methods for marker extraction in 3D fluorescent microscopy, in SPIE’s 17th Annual Symposium EI05 - Electronic Imaging, 2005.

P. Mrazek, J. Weickert and G. Steidl, Diffusion-inspired shrinkage functions and stability results for wavelet denoising, International Journal of Computer Vision, vol. 64, no. 2/3, pp. 171–186, 2005.

J. Neumann, C. Schnörr and G. Steidl, Combined SVM-based feature selection and classification, Machine Learning, vol. 61, pp. 129–150, 2005.

J. Neumann, C. Schnörr and G. Steidl, Efficient wavelet adaption for hybrid wavelet-large margin classifiers, Pattern Recognition, vol. 38, no. 11, pp. 1815–1830, 2005.

J. Neumann and G. Steidl, Dual-tree complex wavelet transform in the frequency domain and an application to signal classification, International Journal of Wavelets, Multiresolution and Information Processing, vol. 3, no. 1, pp. 43–66, 2005.

G. Steidl, S. Didas and J. Neumann, Relations between higher order TV regularization and support vector regression, in Scale-Space and PDE Methods in Computer Vision, R. Kimmel, N. Sochen and J. Weickert, Eds., ser. LNCS, vol. 3459, 2005, pp. 515–527.

J. Weickert, G. Steidl, P. Mrazek, M. Welk and T. Brox, Diffusion filters and wavelets: What can they learn from each other? In Handbook of Mathematical Models of Computer Vision, N. Paragios, Y. Chen and O. Faugeras, Eds., 2005, pp. 3–16.

M. Welk, J. Weickert and G. Steidl, A four-pixel scheme for singular differential equations, in Scale-Space and PDE Methods in Computer Vision, R. Kimmel, N. Sochen and J. Weickert, Eds., 2005, pp. 610–621.

J. Yuan, C. Schnörr, G. Steidl and F. Becker, A study of non-smooth convex flow decomposition, in Proc. Variational, Geometric and Level Set Methods in Computer Vision, ser. LNCS, vol. 3752, 2005, pp. 1–12.

2004

S. Dahlke, G. Steidl and G. Teschke, Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere, Advances in Computational Mathematics, vol. 21, pp. 147–180, 2004.

S. Dahlke, G. Steidl and G. Teschke, Weighted coorbit spaces and Banach frames on homogeneous spaces, The J. Fourier Anal. Appl., vol. 10, no. 5, pp. 507–539, 2004.

M. Fenn and G. Steidl, Fast NFFT based summation of radial functions, Sampling Theory in Signal and Image Processing, vol. 3, no. 1, pp. 1–28, 2004.

J. Neumann, C. Schnörr and Steidl, SVM-based feature selection by direct objective minimisation, in Pattern Recognition, C. E. Rasmussen, H. H. Bülthoff, M. A. Giese and B. Schölkopf, Eds., ser. LNCS, vol. 3175, 2004, pp. 212–219.

D. Potts, G. Steidl and A. Nieslony, Fast convolution with radial kernels at nonequispaced knots, Numerische Mathematik, vol. 98, no. 2, pp. 329–351, 2004.

G. Steidl, J. Weickert, T. Brox, P. Mrázek and M. Welk, On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularization, and SIDEs, SIAM Journal on Numerical Analysis, vol. 42, no. 2, pp. 686–713, 2004.

D. J. Strauss, G. Steidl and U. Welzel, Parameter detection of thin films from their X-ray reflectivity by support vector machines, Applied Numerical Mathematics, vol. 48, pp. 223–236, 2004.

2003

T. Brox, M. Welk, G. Steidl and J. Weickert, Equivalence results for TV diffusion and TV regularisation, in Scale-Space Methods in Computer Vision, L. D. Griffin and M. Lillholm, Eds., Berlin: Springer, 2003, pp. 86–100.

P. Mrázek, J. Weickert and G. Steidl, Correspondences between wavelet shrinkage and nonlinear diffusion, in Scale-Space Methods in Computer Vision, L. D. Griffin and M. Lillholm, Eds., Berlin: Springer, 2003, pp. 101–116.

P. Mrázek, J. Weickert, G. Steidl and M. Welk, On iterations and scales of nonlinear filters, in Proc. Eighth Computer Vision Winter Workshop, O. Drbohlav, Ed., Valtice, Czech Republic: Czech Pattern Recognition Society, 2003, pp. 61–66.

J. Neumann, C. Schnörr and G. Steidl, Feasible adaptation criteria for hybrid wavelet - large margin classifiers, in Computer Analysis of Images and Patterns, N. Petkov and M. A. Westenberg, Eds., Berlin: Springer, 2003, pp. 588–599.

A. Nieslony and G. Steidl, Approximate factorizations of Fourier matrices with nonequispaced knots, Linear Algebra and its Applications, vol. 366, pp. 337–351, 2003.

G. Nürnberger, G. Steidl and F. Zeilfelder, Explicit estimates for bivariate hierarchical bases, Communications in Applied Analysis, vol. 7, no. 1, pp. 133–151, 2003.

D. Potts and G. Steidl, Fast summation at nonequispaced knots by NFFTs, SIAM Journal on Scientific Computing, vol. 24, pp. 2013–2037, 2003.

D. Strauss, G. Steidl and W. Delb, Feature extraction by shape-adapted local discriminant bases, Signal Processing, vol. 83, pp. 359–376, 2003.

2002

M. Fenn and G. Steidl, FMM and H-matrices: a short introduction to the basic idea (teaching material). Preprint Univ. Mannheim, 2002.

D. Potts and G. Steidl, Fourier reconstruction of functions from their nonstandard sampled Radon transform, The Journal of Fourier Analysis and its Applications, vol. 8, pp. 513–533, 2002.

D. Potts and G. Steidl, Rapid evaluation of radial functions by Fast Fast Fourier transform at nonequispaced knots: a users guide to a C-library. Software Guide, Preprint Univ. Lübeck, 2002.

D. Potts, G. Steidl and M. Tasche, Numerical stability of fast trigonometric transforms - a worst case study, Journal of Concrete and Applied Mathematics, vol. 1, pp. 1–36, 2002.

G. Steidl and J. Weickert, Relations between soft wavelet shrinkage and total variation denoising, in Pattern Recognition, L. V. Gool, Ed., ser. LNCS, vol. 2449, 2002, pp. 198–205.

D. Strauss and G. Steidl, Hybrid wavelet-support vector classification of waveforms, Journal of Computational and Applied Mathematics, vol. 148, pp. 375–400, 2002.

2001

R. H. Chan, D. Potts and G. Steidl, Preconditioners for non-Hermitian Toeplitz systems, Numerical Linear Algebra and Applications, vol. 8, no. 2, pp. 83–98, 2001.

D. Potts and G. Steidl, A new linogram algorithm for computerized tomography, IMA Journal on Numerical Analysis, vol. 21, pp. 769–782, 2001.

D. Potts and G. Steidl, Preconditioners for ill-conditioned Toeplitz matrices constructed from positive kernels, SIAM Journal on Scientific Computing, vol. 22, no. 5, pp. 1741–1761, 2001.

D. Potts and G. Steidl, Preconditioning of Hermitian block-Toeplitz-Toeplitz-block matrices by level-1 preconditioners, in Structured Matrices in Mathematics, Computer Science, and Engineering II, V. Olshevsky, Ed., Providence: AMS, 2001, pp. 193–212.

D. Potts, G. Steidl and M. Tasche, Fast Fourier transforms for nonequispaced data: A tutorial, in Modern Sampling Theory: Mathematics and Applications, J. J. Benedetto, P. J. Ferreira and G. Steidl, Eds., Boston: Birkhäuser, 2001, pp. 247–270.

D. Strauss, G. Steidl and J. Jung, Arrhythmia detection using signal-adapted wavelet preprocessing for support vector machines, IEEE Computers in Cardiology, vol. 28, pp. 497–501, 2001.

2000

R. H. Chan, D. Potts and G. Steidl, Preconditioners for nondefinite Hermitian Toeplitz systems, SIAM Journal on Matrix Analysis and Applications, vol. 22, pp. 647–665, 2000.

D. Potts and G. Steidl, New Fourier reconstruction algorithms for computerized tomography, in Wavelet Applications in Signal and Iamge Processing VIII, (San Diego), A. Aldroubi, A. F. Laine and M. A. Unser, Eds., 2000, pp. 13–23.

B. Trebels and G. Steidl, Riesz bounds of Wilson bases generated by B-splines, The Journal of Fourier Analysis and its Applications, vol. 6, no. 2, pp. 159–172, 2000.

Before 2000

A. Gottscheber and G. Steidl, On a family of orthogonal wavelets on the quincunx grid, in Advances in Multivariate Approximation, W. Haussmann, K. Jetter and M. Reimer, Eds., Wiley-VCH, Berlin, 1999, pp. 175–184.

D. Potts and G. Steidl, Preconditioners for ill-conditioned Toeplitz matrices, BIT, vol. 39, no. 3, pp. 513–533, 1999.

A. Elbel and G. Steidl, Fast Fourier transforms for nonequispaced data, in Approximation Theory IX, C. K. Chui and L. L. Schumaker, Eds., Vanderbuilt University Press, 1998, pp. 39–46.

D. Potts and G. Steidl, Optimal trigonometric preconditioners for nonsymmetric Toeplitz systems, Linear Algebra Appl., vol. 281, pp. 265–292, 1998.

D. Potts, G. Steidl and M. Tasche, Fast algorithms for discrete polynomial transforms, Math. Comp., vol. 67, pp. 1577–1590, 1998.

D. Potts, G. Steidl and M. Tasche, Fast and stable algorithms for discrete spherical Fourier transforms, Linear Algebra Appl., vol. 275 - 276, pp. 433–450, 1998.

G. Steidl, A note on fast Fourier transforms for nonequispaced grids, Adv. Comput. Math., vol. 9, pp. 337–353, 1998.

G. Steidl and M. Tasche, Elemente der Fourier-Analysis, in Lehrbriefe Fernuniversität Hagen, 1998.

D. Potts, G. Steidl and M. Tasche, Trigonometric preconditioners for block Toeplitz systems, in Multivariate Approximation and Splines, G. Nürnberger, J. W. Schmidt and G. Walz, Eds., Birkhäuser - Verlag Basel, 1997, pp. 219–234.

D. Potts, G. Steidl and M. Tasche, Kernels of spherical harmonics and spherical frames, in Advanced Topics in Multivariate Approximation, F. Fontanella, K. Jetter and P. J. Laurent, Eds., World Scientific Publishing Co., Verlag Basel, 1996, pp. 287–301.

B. Glaser, M. Konik and G. Steidl, Multiskalenanalyse des Ankerstroms eines permanentmagneterregten Gleichstrommotors, in Proc. Internat. Conf. on Wavelet-Approximation and Applications, (Lübeck), 1995.

M. Konik, R. Schneider and G. Steidl, Matrix sparsification by discrete multiscale methods, in Approximation and Decomposition, C. K. Chui and L. L. Schumaker, Eds., World Scientific Publishing Co, 1995, pp. 225–234.

G. Steidl, On multivariate attenuation factors, Numer. Algorithms., vol. 9, pp. 245–261, 1995.

G. Steidl, Spline wavelets over R, Z, R/NZ and Z/NZ, in Wavelets: Theory, Algorithms and Applications, C. K. Chui, L. Montefusco and L. Puccio, Eds., Academic Press, 1994, pp. 155–177.

G. Steidl, Chebyshev polynomial derivation of composite-length DCT algorithms, Signal Processing, vol. 29, pp. 17–27, 1992.

G. Steidl, Fast radix-p discrete cosine transform, Appl. Algebra Engrg. Comm. Comput., vol. 3, pp. 39–46, 1992.

G. Steidl and M. Tasche, A polynomial approach to fast algorithms for discrete Fourier-cosine- and Fourier-sine-transforms, Math. Comp., vol. 56, pp. 282–296, 1991.

G. Steidl, M. Tasche and R. Creutzburg, Number-theoretic transforms and a theorem of Sylvester-Kronecker-Zsigmondy, in Computational Number Theory, A. Pethö, M. Pohst, H. C. Williams and H. G. Zimmer, Eds., De Gruyter Berlin - New York, 1991, pp. 45–50.

G. Steidl, Existence and construction of self-complementary normal bases, J. Inf. Process. Cybern., vol. EIK-26, pp. 643–651, 1990.

G. Steidl, Generalization of the algebraic discrete Fourier transform with application to fast convolutions, Linear Algebra Appl., vol. 139, pp. 181–206, 1990.

G. Steidl, On normal bases for finite commutative rings, Math. Nachr., vol. 145, pp. 131–148, 1990.

G. Steidl and M. Tasche, Fast algorithms for one-and twodimensional discrete cosine transforms, in Multivariate Approximation and Interpolation, W. Haussmann and K. Jetter, Eds., vol. ISNM 94, Birkhäuser - Verlag Basel, 1990, pp. 285–298.

G. Steidl, On symmetric radix-representation of Gaussian integers, BIT, vol. 29, pp. 563–571, 1989.

G. Steidl, M. Hänler and M. Tasche, On a number-theoretic result of Zsigmondy in domains of quadratic integers, Arch. Math., vol. 53, pp. 30–39, 1989.

G. Steidl and M. Tasche, Index transforms for multidimensional DFT’s and convolutions, Numer. Math., vol. 56, pp. 513–528, 1989.

G. Steidl and M. Tasche, Index transforms for multidimensional discrete Fourier transforms, in Multivariate Approximation Theory IV, C. K. Chui, W. Schempp and K. Zeller, Eds., vol. ISNM 90, Birkhäuser - Verlag Basel, 1989, pp. 321–328.

G. Steidl and M. Tasche, On a number-theoretic result of Kronecker-Sylvester-Zsigmondy, Math. Nachr., no. 140, pp. 233–247, 1989.

G. Steidl, Algebraic discrete Fourier transforms and fast convolution algorithms, in Proc. IMYCS’88, Smolenice, 1988, pp. 219–225.

G. Steidl and R. Creutzburg, Number-theoretic transforms in rings of cyclotomic integers, J. Inf. Process. Cybern., vol. EIK-24, pp. 573–584, 1988.

G. Steidl and M. Tasche, Exact deconvolution using number-theoretic transforms, Comput. Math. Appl., vol. 15, pp. 757–768, 1988.

G. Steidl and M. Tasche, Prime factorization for values of cyclotomic polynomials in Z[i], Arch. Math., vol. 49, pp. 292–300, 1987.