Banach-Like Distances and Metric Spaces of Compact Sets

DOI10.1137/140972512zbMath1418.94016arXiv0707.1174OpenAlexW3098900788MaRDI QIDQ5253183

Andrea C. G. Mennucci, Alessandro Duci

Publication date: 4 June 2015

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1174

zbMATH Keywords

shapeisometric embeddinggeodesicBanach spacecompact setHausdorff distance

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

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Ekeland variational principle in asymmetric locally convex spaces ⋮ Geodesics in asymmetric metric spaces ⋮ Completeness in quasi-metric spaces and Ekeland variational principle ⋮ The area as a natural pseudo-Hermitian structure on the spaces of plane polygons and curves ⋮ Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces ⋮ On perimeters and volumes of fattened sets

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