Reeb graphs of curves are stable under function perturbations
type: Item
instance of: scholarly article
title: Reeb graphs of curves are stable under function perturbations
zbMATH Open document ID: 1247.05064
author: Barbara Di Fabio
author: C. Landi
published in: Mathematical Methods in the Applied Sciences
publication date: 2012-09-14T00:00:00Z
full work available at URL: AMSActaDiFabioLandi.pdf
Mathematics Subject Classification ID: 05C10
Mathematics Subject Classification ID: 68T10
Mathematics Subject Classification ID: 54C30
zbMATH DE Number: 6082592
zbMATH Keywords: shape similarity
zbMATH Keywords: editing distance
zbMATH Keywords: Reeb graph
zbMATH Keywords: Morse function
zbMATH Keywords: natural stratification
zbMATH Keywords: natural pseudo-distance
zbMATH Keywords: function perturbations
zbMATH Keywords: bottleneck distance of persistent homology
MaRDI profile type: Publication
OpenAlex ID: W2139010901
cites work: The Tree-to-Tree Correction Problem
cites work: Natural pseudo-distances between closed curves
cites work: Stability of persistence diagrams
cites work: Q3952851
cites work: Topological classification of Morse functions and generalisations of Hilbert's 16-th problem
cites work: Natural pseudodistances between closed manifolds
cites work: Natural pseudodistances between closed surfaces
cites work: On certain optimal diffeomorphisms between closed curves
cites work: Betti numbers in multidimensional persistent homology are stable functions
DOI: 10.1002/MMA.2533
description: scientific article; zbMATH DE number 6082592