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Estimating the Reach of a Manifold via its Convexity Defect Function

The reach of a submanifold is a crucial regularity parameter for manifold learning and geometric inference from point clouds. This paper relates the reach of a submanifold to its convexity defect function. Using the stability properties of convexity defect functions, along with some new bounds and t...

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Detalles Bibliográficos
Autores principales: Berenfeld, Clément, Harvey, John, Hoffmann, Marc, Shankar, Krishnan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8827210/
https://www.ncbi.nlm.nih.gov/pubmed/35221405
http://dx.doi.org/10.1007/s00454-021-00290-8