An elasticity-based covariance analysis of shapes

DOI10.1007/s11263-010-0358-2zbMath1235.68284OpenAlexW1994711007MaRDI QIDQ408894

Benedikt Wirth, Martin Rumpf

Publication date: 12 April 2012

Published in: International Journal of Computer Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11263-010-0358-2

zbMATH Keywords

finite element discretizationnonlinear elasticityprincipal componentsshape analysiscovariance metricnon-rigid registrationphase field approximation

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Machine vision and scene understanding (68T45)

Related Items (3)

A Variational Model Dedicated to Joint Segmentation, Registration, and Atlas Generation for Shape Analysis ⋮ Gromov-Wasserstein distances and the metric approach to object matching ⋮ Optical Flow on Moving Manifolds

Uses Software

• LDDMM

Cites Work

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• Approximations of shape metrics and application to shape warping and empirical shape statis\-tics
• Shape metrics based on elastic deformations
• A variational method in image segmentation: Existence and approximation results
• Shape statistics in kernel space for variational image segmentation.
• Existence theorem for a minimum problem with free discontinuity set
• Group actions, homeomorphisms, and matching: A general framework
• A theoretical and computational framework for isometry invariant recognition of point cloud data
• Optimal approximations by piecewise smooth functions and associated variational problems
• A Nonlinear Elastic Shape Averaging Approach
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• Numerical Geometry of Non-Rigid Shapes
• Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations
• Global invertibility of Sobolev functions and the interpenetration of matter
• Riemannian center of mass and mollifier smoothing
• Computable Elastic Distances Between Shapes
• Active contours without edges
• Biomedical Image Registration

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