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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...
Autores principales: | Berenfeld, Clément, Harvey, John, Hoffmann, Marc, Shankar, Krishnan |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer US
2021
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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 |
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