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A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images

SIAM journal on scientific computing, 2016-01, Vol.38 (1), p.A567-A597

2016

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Joint image reconstruction and segmentation using the Potts model

Inverse problems, 2015-02, Vol.31 (2), p.25003-25031

2015

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Variational regularization of inverse problems for manifold-valued data

Information and inference, 2021-03, Vol.10 (1), p.195-230

2021

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Quality-Enhancing Techniques for Model-Based Reconstruction in Magnetic Particle Imaging

Mathematics (Basel), 2022-09, Vol.10 (18), p.3278

2022

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Handbook of Variational Methods for Nonlinear Geometric Data

1st ed. 2020., 2020

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Second Order Differences of Cyclic Data and Applications in Variational Denoising

SIAM journal on imaging sciences, 2014-01, Vol.7 (4), p.2916-2953

2014

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Smoothing Splines for Discontinuous Signals

Journal of computational and graphical statistics, 2024-04, Vol.33 (2), p.651-664

2024

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Solving higher-order Mumford-Shah models

AIP Conference Proceedings, 2024, Vol.3094 (1)

2024

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A Second-Order TV-Type Approach for Inpainting and Denoising Higher Dimensional Combined Cyclic and Vector Space Data

Journal of mathematical imaging and vision, 2016-07, Vol.55 (3), p.401-427

2016

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Clothoid fitting and geometric Hermite subdivision

Advances in computational mathematics, 2021-08, Vol.47 (4), Article 50

2021

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Wavelet Sparse Regularization for Manifold-Valued Data

Multiscale modeling & simulation, 2020-01, Vol.18 (2), p.674-706

2020

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Variational model-based reconstruction techniques for multi-patch data in Magnetic Particle Imaging

Journal of computational and applied mathematics, 2024-12, Vol.451, p.116046, Article 116046

2024

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Interpolatory Multiscale Representation for Functions between Manifolds

SIAM journal on mathematical analysis, 2012-01, Vol.44 (1), p.162-191

Weinmann, Andreas

2012

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An algorithmic framework for Mumford-Shah regularization of inverse problems in imaging

Inverse problems, 2015-11, Vol.31 (11), p.115011-115040

2015

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Total Variation Regularization for Manifold-Valued Data

SIAM journal on imaging sciences, 2014-01, Vol.7 (4), p.2226-2257

2014

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Smoothing for signals with discontinuities using higher order Mumford–Shah models

Numerische Mathematik, 2019-10, Vol.143 (2), p.423-460

2019

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Fast Partitioning of Vector-Valued Images

SIAM journal on imaging sciences, 2014-01, Vol.7 (3), p.1826-1852

2014

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A flexible model-based regularized reconstruction approach for magnetic particle imaging

AIP Conference Proceedings, 2024, Vol.3094 (1)

2024

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Quality-Enhancing techniques for a two-stage model-based approach for magnetic particle imaging

AIP Conference Proceedings, 2024, Vol.3094 (1)

2024

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Mumford–Shah and Potts Regularization for Manifold-Valued Data

Journal of mathematical imaging and vision, 2016-07, Vol.55 (3), p.428-445

2016

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Exact Algorithms for $L^1$-TV Regularization of Real-Valued or Circle-Valued Signals

SIAM journal on scientific computing, 2016-01, Vol.38 (1), p.A614-A630

2016

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Multi-channel Potts-based reconstruction for multi-spectral computed tomography

Inverse problems, 2021-04, Vol.37 (4), p.45004

2021

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Nonlinear Subdivision Schemes on Irregular Meshes

Constructive approximation, 2010-06, Vol.31 (3), p.395-415

Weinmann, Andreas

2010

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Subdivision schemes with general dilation in the geometric and nonlinear setting

Journal of approximation theory, 2012, Vol.164 (1), p.105-137

Weinmann, Andreas

2012

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Model-based reconstruction for magnetic particle imaging in 2D and 3D

Inverse problems and imaging (Springfield, Mo.), 2016-11, Vol.10 (4), p.1087-1110

2016

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A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images

Joint image reconstruction and segmentation using the Potts model

Variational regularization of inverse problems for manifold-valued data

Quality-Enhancing Techniques for Model-Based Reconstruction in Magnetic Particle Imaging

Handbook of Variational Methods for Nonlinear Geometric Data

Second Order Differences of Cyclic Data and Applications in Variational Denoising

Smoothing Splines for Discontinuous Signals

Solving higher-order Mumford-Shah models

A Second-Order TV-Type Approach for Inpainting and Denoising Higher Dimensional Combined Cyclic and Vector Space Data

Clothoid fitting and geometric Hermite subdivision

Wavelet Sparse Regularization for Manifold-Valued Data

Variational model-based reconstruction techniques for multi-patch data in Magnetic Particle Imaging

Interpolatory Multiscale Representation for Functions between Manifolds

An algorithmic framework for Mumford-Shah regularization of inverse problems in imaging

Total Variation Regularization for Manifold-Valued Data

Smoothing for signals with discontinuities using higher order Mumford–Shah models

Fast Partitioning of Vector-Valued Images

A flexible model-based regularized reconstruction approach for magnetic particle imaging

Quality-Enhancing techniques for a two-stage model-based approach for magnetic particle imaging

Mumford–Shah and Potts Regularization for Manifold-Valued Data

Exact Algorithms for $L^1$-TV Regularization of Real-Valued or Circle-Valued Signals

Multi-channel Potts-based reconstruction for multi-spectral computed tomography

Nonlinear Subdivision Schemes on Irregular Meshes

Subdivision schemes with general dilation in the geometric and nonlinear setting

Model-based reconstruction for magnetic particle imaging in 2D and 3D

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