Geometric optimization using nonlinear rotation-invariant coordinates

DOI10.1016/j.cagd.2020.101829zbMath1493.65043arXiv1908.11728OpenAlexW3007836654MaRDI QIDQ1986127

Klaus Hildebrandt, Josua Sassen, Behrend Heeren, Martin Rumpf

Publication date: 7 April 2020

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11728

zbMATH Keywords

geometric optimizationisometric deformationsurface deformationdifferential coordinates

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Uses Software

• CHOLMOD
• Eigen

Cites Work

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• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• MORPHING OF TRIANGULAR MESHES IN SHAPE SPACE
• Folding and crumpling adaptive sheets
• Map-based exploration of intrinsic shape differences and variability
• Shapes and diffeomorphisms

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