Hausdorff Distances Between Distributions Using Optimal Transport and Mathematical Morphology

DOI10.1007/978-3-319-18720-4_44zbMath1445.68278OpenAlexW2295255524MaRDI QIDQ2946838

Isabelle Bloch, Jamal Atif

Publication date: 18 September 2015

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18720-4_44

zbMATH Keywords

spatial relationsmathematical morphologyoptimal transportHausdorffcomparison of distributionsfuzzy mathematical morphologyProkhorovLévy distances

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Distribution theory (60E99) Optimal transportation (49Q22)

Related Items

Asymptotics of one-dimensional Lévy approximations, Defining and computing Hausdorff distances between distributions on the real line and on the circle: link between optimal transport and morphological dilations

Cites Work

• Fuzzy logic-based generalized decision theory with imperfect information
• Transportation distances on the circle
• A distance metric for multidimensional histograms
• Linear Time Distances Between Fuzzy Sets With Applications to Pattern Matching and Classification
• Distances of Probability Measures and Random Variables
• Optimal Transport
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