Stable shape comparison by persistent homology
Year: 2011
Type: article
Abstract: When shapes of objects are modeled as topological spaces endowed with functions, the shape comparison problem can be dealt with using persistent homology to provide shape descriptors, and the matching distance to measure dissimilarities. Motivated by the problem of dealing with incomplete or imprecise acquisition of data in computer vision and computer graphics, recent papers have studied stability properties of persistent Betti numbers with respect to perturbations both in the topological space and in the function.\nThis paper reports on progress in this area of research.
Authors: Massimo Ferri, Patrizio Frosini, Claudia Landi
Institutions: University of Bologna, University of Modena and Reggio Emilia
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2187846266