Defining and computing Hausdorff distances between distributions on the real line and on the circle: link between optimal transport and morphological dilations
type: Item
instance of: scholarly article
title: Defining and computing Hausdorff distances between distributions on the real line and on the circle: link between optimal transport and morphological dilations
zbMATH Open document ID: 1469.68146
author: I. Bloch
author: Jamal Atif
published in: Mathematical Morphology. Theory and Applications
publication date: 2021-09-09T00:00:00Z
Mathematics Subject Classification ID: 68U05
Mathematics Subject Classification ID: 68T37
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 7392997
zbMATH Keywords: comparison of probabilistic or possibilistic distributions
zbMATH Keywords: optimal transport
zbMATH Keywords: mathematical morphology
zbMATH Keywords: fuzzy mathematical morphology
zbMATH Keywords: Hausdorff
zbMATH Keywords: Prokhorov
zbMATH Keywords: Lévy distances
zbMATH Keywords: spatial relations
MaRDI profile type: Publication
full work available at URL: mathm-2016-0005
OpenAlex ID: W2318938583
cites work: Fuzzy logic-based generalized decision theory with imperfect information
cites work: Hausdorff Distances Between Distributions Using Optimal Transport and Mathematical Morphology
cites work: Distances of Probability Measures and Random Variables
cites work: Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
cites work: Linear Time Distances Between Fuzzy Sets With Applications to Pattern Matching and Classification
cites work: Q3951077
cites work: Transportation distances on the circle
cites work: Q3670270
cites work: Distances between fuzzy sets
cites work: Q3999282
cites work: Q3680652
cites work: Optimal Transport
cites work: A distance metric for multidimensional histograms
DOI: 10.1515/MATHM-2016-0005
description: scientific article; zbMATH DE number 7392997