On certain optimal diffeomorphisms between closed curves

DOI10.1515/form.2011.172zbMath1312.57039arXiv0906.4648OpenAlexW1986465913MaRDI QIDQ470226

Andrea Cerri, Barbara Di Fabio

Publication date: 12 November 2014

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4648

zbMATH Keywords

Morse functionmeasuring functionnatural pseudodistancesize pair

Mathematics Subject Classification ID

Pattern recognition, speech recognition (68T10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Real-valued functions in general topology (54C30) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Real-valued functions on manifolds (58C05) Compact groups of homeomorphisms (57S10)

Related Items

Reeb graphs of curves are stable under function perturbations, On the set of optimal homeomorphisms for the natural pseudo-distance associated with the Lie group \(S^{1}\), An introduction to the notion of natural pseudo-distance in topological data analysis