Diffusion tensor regularization with metric double integrals

DOI10.1515/jiip-2021-0041zbMath1502.47015arXiv2004.01585OpenAlexW3014324613WikidataQ114052952 ScholiaQ114052952MaRDI QIDQ2122154

Leon Frischauf, Melanie Melching, Otmar Scherzer

Publication date: 6 April 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01585

zbMATH Keywords

regularizationdiffusion tensormetric double integrals

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

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• Restoration of manifold-valued images by half-quadratic minimization
• Hitchhiker's guide to the fractional Sobolev spaces
• A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence
• Variational methods in imaging
• Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging
• Computing a nearest symmetric positive semidefinite matrix
• On an open question about functions of bounded variation.
• Nonlocal inpainting of manifold-valued data on finite weighted graphs
• Riemannian geometric statistics in medical image analysis
• Priors with coupled first and second order differences for manifold-valued image processing
• Sobolev spaces on Riemannian manifolds
• Diffusion generated methods for denoising target-valued images
• Fractional Sobolev norms and BV functions on manifolds
• Regularization with metric double integrals of functions with values in a set of vectors
• A Riemannian framework for tensor computing
• Regularization with metric double integrals for vector tomography
• A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images
• Why Use Sobolev Metrics on the Space of Curves
• Convex analysis and optimization in Hadamard spaces
• Nonlocal Operators with Applications to Image Processing
• Analysis and Application of a Nonlocal Hessian
• Covariances in Computer Vision and Machine Learning
• Total Generalized Variation for Manifold-Valued Data
• Inverse Problems, Image Analysis, and Medical Imaging
• Convergence of the Time Discrete Metamorphosis Model on Hadamard Manifolds
• Manifold-valued image processing with SPD matrices
• Total Variation Regularization for Manifold-Valued Data
• A Nonlocal Denoising Algorithm for Manifold-Valued Images Using Second Order Statistics
• Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices

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