Relaxations for Minimizing Metric Distortion and Elastic Energies for 3D Shape Matching

DOI10.5802/acirm.60zbMath1477.49064OpenAlexW2097852179MaRDI QIDQ4682461

Thomas Windheuser, Emanuele Rodolà, Daniel Cremers

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/acirm.60

zbMATH Keywords

metric spaceselastic deformationshape matching

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Surfaces in Euclidean and related spaces (53A05)

Cites Work

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• Gromov-Wasserstein distances and the metric approach to object matching
• A survey for the quadratic assignment problem
• A theoretical and computational framework for isometry invariant recognition of point cloud data
• Regularization and Variable Selection Via the Elastic Net
• Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching

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