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Equivariance-Based Analysis of PDE Evolutions Related to Multivariate Medians

Discrete Geometry and Mathematical Morphology, p.193-205

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Multivariate Median Filters and Partial Differential Equations

Journal of mathematical imaging and vision, 2016-10, Vol.56 (2), p.320-351

Welk, Martin

2016

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Towards Quality Assessment of Blind Deconvolution with Shift Compensation

2022 26th International Conference on Pattern Recognition (ICPR), 2022, p.421-427

2022

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Analysis of Amoeba Active Contours

Journal of mathematical imaging and vision, 2015-05, Vol.52 (1), p.37-54

Welk, Martin

2015

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PDE Evolutions for M-Smoothers in One, Two, and Three Dimensions

Journal of mathematical imaging and vision, 2021-02, Vol.63 (2), p.157-185

2021

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A robust variational model for positive image deconvolution

Signal, image and video processing, 2016-02, Vol.10 (2), p.369-378

Welk, Martin

2016

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Diffusion, Pre-smoothing and Gradient Descent

Scale Space and Variational Methods in Computer Vision, p.78-90

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Tackling the class imbalance problem of deep learning-based head and neck organ segmentation

International journal for computer assisted radiology and surgery, 2022-11, Vol.17 (11), p.2103-2111

2022

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PDE for Bivariate Amoeba Median Filtering

Mathematical Morphology and Its Applications to Signal and Image Processing, p.271-283

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Robust Blind Deconvolution with Convolution-Spectrum-Based Kernel Regulariser and Poisson-Noise Data Terms

Scale Space and Variational Methods in Computer Vision, p.159-171

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PDE Evolutions for M-Smoothers: From Common Myths to Robust Numerics

Scale Space and Variational Methods in Computer Vision, p.236-248

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Die schönsten Aufgaben der Mathematik-Olympiade in Deutschland: 300 ausgewählte Aufgaben und Lösungen der Olympiadeklassen 11 bis 13

1st Aufl 2021st edition, 2021

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A Discrete Theory and Efficient Algorithms for Forward-and-Backward Diffusion Filtering

Journal of mathematical imaging and vision, 2018-11, Vol.60 (9), p.1399-1426

2018

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Curvature-Based Denoising of Vector-Valued Images

Combinatorial Image Analysis, p.270-287

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An Efficient and Stable Two-Pixel Scheme for 2D Forward-and-Backward Diffusion

Scale Space and Variational Methods in Computer Vision, p.94-106

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Stable Backward Diffusion Models that Minimise Convex Energies

Journal of mathematical imaging and vision, 2020-07, Vol.62 (6-7), p.941-960

2020

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Training of head and neck segmentation networks with shape prior on small datasets

International journal for computer assisted radiology and surgery, 2020-09, Vol.15 (9), p.1417-1425

2020

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Amoeba Active Contours

Scale Space and Variational Methods in Computer Vision, p.374-385

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The Convex-Hull-Stripping Median Approximates Affine Curvature Motion

Scale Space and Variational Methods in Computer Vision, p.199-210

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Image Compression with Anisotropic Diffusion

Journal of mathematical imaging and vision, 2008-07, Vol.31 (2-3), p.255-269

2008

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Amoeba Techniques for Shape and Texture Analysis

Perspectives in Shape Analysis, p.73-116

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Locally analytic schemes: A link between diffusion filtering and wavelet shrinkage

Applied and computational harmonic analysis, 2008-03, Vol.24 (2), p.195-224

2008

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An Approach to Colour Morphological Supremum Formation Using the LogSumExp Approximation

Discrete Geometry and Mathematical Morphology, p.325-337

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On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs

SIAM journal on numerical analysis, 2004-01, Vol.42 (2), p.686-713

2004

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Partial Differential Equations of Bivariate Median Filters

Scale Space and Variational Methods in Computer Vision, p.53-65

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Equivariance-Based Analysis of PDE Evolutions Related to Multivariate Medians

Multivariate Median Filters and Partial Differential Equations

Towards Quality Assessment of Blind Deconvolution with Shift Compensation

Analysis of Amoeba Active Contours

PDE Evolutions for M-Smoothers in One, Two, and Three Dimensions

A robust variational model for positive image deconvolution

Diffusion, Pre-smoothing and Gradient Descent

Tackling the class imbalance problem of deep learning-based head and neck organ segmentation

PDE for Bivariate Amoeba Median Filtering

Robust Blind Deconvolution with Convolution-Spectrum-Based Kernel Regulariser and Poisson-Noise Data Terms

PDE Evolutions for M-Smoothers: From Common Myths to Robust Numerics

Die schönsten Aufgaben der Mathematik-Olympiade in Deutschland: 300 ausgewählte Aufgaben und Lösungen der Olympiadeklassen 11 bis 13

A Discrete Theory and Efficient Algorithms for Forward-and-Backward Diffusion Filtering

Curvature-Based Denoising of Vector-Valued Images

An Efficient and Stable Two-Pixel Scheme for 2D Forward-and-Backward Diffusion

Stable Backward Diffusion Models that Minimise Convex Energies

Training of head and neck segmentation networks with shape prior on small datasets

Amoeba Active Contours

The Convex-Hull-Stripping Median Approximates Affine Curvature Motion

Image Compression with Anisotropic Diffusion

Amoeba Techniques for Shape and Texture Analysis

Locally analytic schemes: A link between diffusion filtering and wavelet shrinkage

An Approach to Colour Morphological Supremum Formation Using the LogSumExp Approximation

On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs

Partial Differential Equations of Bivariate Median Filters

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