Measure-valued variational models with applications to diffusion-weighted imaging

DOI10.1007/s10851-018-0827-8zbMath1436.49056arXiv1710.00798OpenAlexW3101875915MaRDI QIDQ1799619

Thomas Vogt, Jan Lellmann

Publication date: 19 October 2018

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00798

zbMATH Keywords

total variationvariational methodsmeasure theoryoptimal transportdiffusion MRImanifold-valued imaging

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Variational problems in a geometric measure-theoretic setting (49Q20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Spaces of measures, convergence of measures (28A33) Existence theories for problems in abstract spaces (49J27) Spaces of measures (46E27)

Related Items (3)

Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications ⋮ Lifting Methods for Manifold-Valued Variational Problems ⋮ Total variation and mean curvature PDEs on the homogeneous space of positions and orientations

Uses Software

• STA-toolkit
• Dipy

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