Total variation regularization on Riemannian manifolds by iteratively reweighted minimization

DOI10.1093/imaiai/iaw011zbMath1382.94013OpenAlexW2566764870WikidataQ115276267 ScholiaQ115276267MaRDI QIDQ4606520

Markus Sprecher, Philipp Grohs

Publication date: 8 March 2018

Published in: Information and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imaiai/iaw011

zbMATH Keywords

total variationregularizationiteratively reweighted least squaresdiffusion tensor imagingalternating minimizationmanifold-valued dataHadamard spaces

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (9)

Wavelet Sparse Regularization for Manifold-Valued Data ⋮ A Riemannian Gradient Sampling Algorithm for Nonsmooth Optimization on Manifolds ⋮ Higher-order total variation approaches and generalisations ⋮ Non-smooth Variational Regularization for Processing Manifold-Valued Data ⋮ Exact Algorithms for $L^1$-TV Regularization of Real-Valued or Circle-Valued Signals ⋮ Total Generalized Variation for Manifold-Valued Data ⋮ Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds ⋮ Regularization with metric double integrals of functions with values in a set of vectors ⋮ An Inexact Semismooth Newton Method on Riemannian Manifolds with Application to Duality-Based Total Variation Denoising

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• Domain Approximation Method for Solving Multifacility Location Problems on a Sphere
• Riemannian center of mass and mollifier smoothing
• Total Variation Regularization for Manifold-Valued Data
• On search directions for minimization algorithms
• Spaces of nonpositive curvature

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