Čech complex
id:
ech-complex-265-11721949
title:
Čech complex
text:
In algebraic topology and topological data analysis, the Čech complex is an abstract simplicial complex constructed from a point cloud in any metric space which is meant to capture topological information about the point cloud or the distribution it is drawn from. Given a finite point cloud X and an ε > 0, we construct the Čech complex C ˇ ε as follows: Take the elements of X as the vertex set of C ˇ ε . Then, for each σ ⊂ X , let σ ∈ C ˇ ε if the set of ε-balls centered at points of σ has a non
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/%C4%8Cech_complex
date created:
date modified:
2023-04-14T08:41:27Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/21/Cech-example.png","width":1017,"height":548}
fields total:
13
integrity:
14