Riemannian methods for optimization in a shape space of triangular meshes

DOI10.1080/17415977.2014.980243zbMath1329.49087OpenAlexW2063477462WikidataQ115295100 ScholiaQ115295100MaRDI QIDQ3466145

Wolfgang Ring, Michael Kniely

Publication date: 1 February 2016

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2014.980243

zbMATH Keywords

Riemannian manifoldgeodesicshape optimizationparallel transportshape space

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Computer-aided design (modeling of curves and surfaces) (65D17) Methods of local Riemannian geometry (53B21)

Cites Work

• An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
• Optimization Methods on Riemannian Manifolds and Their Application to Shape Space
• Shape-from-shading: a survey
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