Manifold-valued image processing with SPD matrices

DOI10.1016/B978-0-12-814725-2.00010-8zbMath1453.62560OpenAlexW2971797722MaRDI QIDQ5133027

Xavier Pennec

Publication date: 12 November 2020

Published in: Riemannian Geometric Statistics in Medical Image Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/b978-0-12-814725-2.00010-8

zbMATH Keywords

medical image analysismanifold-valued image processingsymmetric positive definite (SPD) matrix

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Factor analysis and principal components; correspondence analysis (62H25) Statistics on manifolds (62R30) Applications of statistics to biology and medical sciences; meta analysis (62P10) Geometric probability and stochastic geometry (60D05) Image analysis in multivariate analysis (62H35) Biomedical imaging and signal processing (92C55) Positive matrices and their generalizations; cones of matrices (15B48) Global Riemannian geometry, including pinching (53C20) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (8)

Diffusion tensor regularization with metric double integrals ⋮ Intrinsic Riemannian functional data analysis for sparse longitudinal observations ⋮ Numerical accuracy of ladder schemes for parallel transport on manifolds ⋮ Image Denoising: The Deep Learning Revolution and Beyond—A Survey Paper ⋮ Riemannian Hamiltonian Methods for Min-Max Optimization on Manifolds ⋮ Unsupervised manifold learning with polynomial mapping on symmetric positive definite matrices ⋮ Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds ⋮ K-splines on SPD manifolds

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