A Numerical Approach for the Filtered Generalized Čech Complex

A Numerical Approach for the Filtered Generalized Čech Complex

In this paper, we present an algorithm to compute the filtered generalized Čech complex for a finite collection of disks in the plane, which do not necessarily have the same radius. The key step behind the algorithm is to calculate the minimum scale factor needed to ensure rescaled disks have a none...

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Bibliographic Details
Main Authors: Jesús F. Espinoza, Rosalía Hernández-Amador, Héctor A. Hernández-Hernández, Beatriz Ramonetti-Valencia
Format: Article
Language:English
Published: MDPI AG 2019-12-01
Series:Algorithms
Subjects:
disk system
generalized čech complex
čech scale
generalized vietoris–rips lemma
miniball problem
Online Access:https://www.mdpi.com/1999-4893/13/1/11

Internet

https://www.mdpi.com/1999-4893/13/1/11

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