Combining persistent homology and invariance groups for shape comparison

DOI10.1007/s00454-016-9761-yzbMath1344.55003arXiv1312.7219OpenAlexW1756438045MaRDI QIDQ262311

Grzegorz Jabłoński, Patrizio Frosini

Publication date: 29 March 2016

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7219

zbMATH Keywords

group actionfiltering functionnatural pseudo-distancepersistent homology groupshape comparison

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Other homology theories in algebraic topology (55N35) Compact groups of homeomorphisms (57S10)

Related Items (5)

On the set of optimal homeomorphisms for the natural pseudo-distance associated with the Lie group \(S^{1}\) ⋮ New families of stable simplicial filtration functors ⋮ On the finite representation of linear group equivariant operators via permutant measures ⋮ An introduction to the notion of natural pseudo-distance in topological data analysis ⋮ Some new methods to build group equivariant non-expansive operators in TDA

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