A Hyperelastic Two-Scale Optimization Model for Shape Matching

DOI10.1137/15M1048562zbMath1358.90172arXiv1507.07760OpenAlexW2964266990MaRDI QIDQ2968583

Ronen Basri, David Jacobs, Konrad Simon, Sameer Sheorey

Publication date: 20 March 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07760

zbMATH Keywords

finite elementscorrespondenceselasticity theoryshape matching

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonlinear elasticity (74B20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Uses Software

• CGAL
• TetGen
• CalculiX
• YALMIP
• Mosek
• SCAPE

Cites Work

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• A linear elastic force optimization model for shape matching
• Parameter-free elastic deformation approach for 2D and 3D registration using prescribed displacements
• Numerical Geometry of Non-Rigid Shapes
• A new point matching algorithm for non-rigid registration
• Controlling singular values with semidefinite programming
• The Finite Element Method for Three‐Dimensional Thermomechanical Applications
• A Variational Approach to Nonrigid Morphological Image Registration
• A Hyperelastic Regularization Energy for Image Registration
• Feature Matching with Bounded Distortion
• TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
• Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching
• Poisson shape interpolation
• Nonlinear problems of elasticity

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