A Relaxed Problem of Registration Based on the Saint Venant--Kirchhoff Material Stored Energy for the Mapping of Mouse Brain Gene Expression Data to a Neuroanatomical Mouse Atlas

DOI10.1137/130947660zbMath1320.92055OpenAlexW2084677589MaRDI QIDQ5174305

Ratiba Derfoul, Carole Le Guyader

Publication date: 17 February 2015

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e2d90bc7de92af34b5550deb4a00907b71afea89

zbMATH Keywords

nonlinear elasticitycalculus of variationsrelaxed problemimage registrationtheoretical convergencemouse atlasSaint Venant-Kirchhoff materialsdecoupled problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

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Joint Segmentation/Registration Model by Shape Alignment via Weighted Total Variation Minimization and Nonlinear Elasticity ⋮ A Variational Model Dedicated to Joint Segmentation, Registration, and Atlas Generation for Shape Analysis ⋮ A non-local topology-preserving segmentation-guided registration model ⋮ Nonlocal Joint Segmentation Registration Model ⋮ A Joint Segmentation/Registration Model Based on a Nonlocal Characterization of Weighted Total Variation and Nonlocal Shape Descriptors

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