Hierarchical shape segmentation and registration via topological features of Laplace-Beltrami eigenfunctions

DOI10.1007/s11263-009-0278-1zbMath1477.68414OpenAlexW2030797443WikidataQ57743654 ScholiaQ57743654MaRDI QIDQ408816

Martin Reuter

Publication date: 12 April 2012

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

Full work available at URL: http://hdl.handle.net/1721.1/65160

zbMATH Keywords

persistenceeigenfunctionsLaplace-Beltrami operatorMorse-Smale complexhierarchical mesh segmentation

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) General topology of complexes (57Q05) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Machine vision and scene understanding (68T45)

Related Items (9)

Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions ⋮ A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds ⋮ A class of generalized Laplacians on vector bundles devoted to multi-channel image processing ⋮ A spectral notion of Gromov-Wasserstein distance and related methods ⋮ Point cloud surface segmentation based on volumetric eigenfunctions of the Laplace-Beltrami operator ⋮ A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace--Beltrami Operator ⋮ The embedding dimension of Laplacian eigenfunction maps ⋮ Persistence barcodes and Laplace eigenfunctions on surfaces ⋮ Geometry processing from an elastic perspective

Uses Software

• SuperLU
• ARPACK

Cites Work

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