Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Kouřimská, Hana"'
Assumptions on the reach are crucial for ensuring the correctness of many geometric and topological algorithms, including triangulation, manifold reconstruction and learning, homotopy reconstruction, and methods for estimating curvature or reach. How
Externí odkaz:
http://arxiv.org/abs/2412.04899
We prove that the medial axis of closed sets is Hausdorff stable in the following sense: Let $\mathcal{S} \subseteq \mathbb{R}^d$ be (fixed) closed set (that contains a bounding sphere). Consider the space of $C^{1,1}$ diffeomorphisms of $\mathbb{R}^
Externí odkaz:
http://arxiv.org/abs/2212.01118
Autor:
Attali, Dominique, Kouřimská, Hana Dal Poz, Fillmore, Christopher, Ghosh, Ishika, Lieutier, André, Stephenson, Elizabeth, Wintraecken, Mathijs
In this article we extend and strengthen the seminal work by Niyogi, Smale, and Weinberger on the learning of the homotopy type from a sample of an underlying space. In their work, Niyogi, Smale, and Weinberger studied samples of $C^2$ manifolds with
Externí odkaz:
http://arxiv.org/abs/2206.10485
Autor:
Kouřimská, Hana Dal Poz
We study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical singularity of a polyhedral surface as the quotient of the angle defect and the area of the Voronoi cell corr
Externí odkaz:
http://arxiv.org/abs/2103.15693
Publikováno v:
A. I. Bobenko (editor). Advances in Discrete Differential Geometry, Springer, Berlin, 2016, pages 177-195. (Open access)
We provide a new proof of the elementary geometric theorem on the existence and uniqueness of cyclic polygons with prescribed side lengths. The proof is based on a variational principle involving the central angles of the polygon as variables. The un
Externí odkaz:
http://arxiv.org/abs/1506.08069
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Dal Poz Kouřimská, Hana
Publikováno v:
Discrete & Computational Geometry; Jul2023, Vol. 70 Issue 1, p123-153, 31p
Autor:
Attali, Dominique, Kouřimská, Hana, Fillmore, Christopher, Ghosh, Ishika, Lieutier, André, Stephenson, Elizabeth, Wintraecken, Mathijs
In this article we show that the proof of the homotopy reconstruction result by Niyogi, Smale, and Weinberger can be streamlined considerably using Federer's work on the reach and several geometric observations. While Niyogi, Smale, and Weinberger re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e68bdd96eec00ee344f9c8ae2526b1b6
http://arxiv.org/abs/2206.10485
http://arxiv.org/abs/2206.10485
Publikováno v:
Notices of the American Mathematical Society; Oct2021, Vol. 68 Issue 9, p1511-1514, 4p
Publikováno v:
Advances in Discrete Differential Geometry; 2016, p177-195, 19p