Vietoris–Rips complex
id:
vietoris-rips-complex-203-4550663
title:
Vietoris–Rips complex
text:
In topology, the Vietoris–Rips complex, also called the Vietoris complex or Rips complex, is a way of forming a topological space from distances in a set of points. It is an abstract simplicial complex that can be defined from any metric space M and distance δ by forming a simplex for every finite set of points that has diameter at most δ. That is, it is a family of finite subsets of M, in which we think of a subset of k points as forming a (k − 1)-dimensional simplex (an edge for two points, a
brand slug:
wiki
category slug:
encyclopedia
description:
Topological space formed from distances
original url:
https://en.wikipedia.org/wiki/Vietoris%E2%80%93Rips_complex
date created:
date modified:
2024-01-16T20:30:27Z
main entity:
{"identifier":"Q7928689","url":"https://www.wikidata.org/entity/Q7928689"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/d0/VR_complex.svg","width":585,"height":468}
fields total:
13
integrity:
15