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pro vyhledávání: '"Reani, Yohai"'
Autor:
Reani, Yohai, Bobrowski, Omer
We study the $k$-th nearest neighbor distance function from a finite point-set in $\mathbb{R}^d$. We provide a Morse theoretic framework to analyze the sub-level set topology. In particular, we present a simple combinatorial-geometric characterizatio
Externí odkaz:
http://arxiv.org/abs/2403.12792
Autor:
Reani, Yohai, Bobrowski, Omer
The alpha complex is a subset of the Delaunay triangulation and is often used in computational geometry and topology. One of the main drawbacks of using the alpha complex is that it is non-monotone, in the sense that if ${\cal X}\subset{\cal X}'$ it
Externí odkaz:
http://arxiv.org/abs/2105.08113
Autor:
Reani, Yohai, Bobrowski, Omer
In this article we propose a novel approach for comparing the persistent homology representations of two spaces (filtrations). Commonly used methods are based on numerical summaries such as persistence diagrams and persistence landscapes, along with
Externí odkaz:
http://arxiv.org/abs/2101.00698
Autor:
Reani, Yohai1 syohai@campus.technion.ac.il, Bobrowski, Omer2,3 omer@ee.technion.ac.il
Publikováno v:
Journal of Computational Geometry. 2023, Vol. 14 Issue 1, p221-256. 36p.
Akademický článek
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