Applied topology 14: Cech and Vietoris-Rips simplicial complexes

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Applied topology 14: Cech and Vietoris-Rips simplicial complexes

Abstract: We describe Cech and Vietoris-Rips simplicial complexes, which are the two most common ways to build an increasing sequence of simplicial complexes on top of point cloud data, in order to measure the shape of that dataset via persistent homology.

This video accompanies the class "Topological Data Analysis" at Colorado State University:
  1. Applied Algebraic Topology Network
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Applied topology 14: Cech and Vietoris-Rips simplicial complexes

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Комментарии
Автор

Thank you so much for the insightful video! I'm currently exploring Vietoris-Rips complexes in the context of 3D data. Do you have any recommendations for visualizing these complexes in 3D point cloud data? I want to use my own data to visualize the complexes. Any guidance would be greatly appreciated!

omererylmaz
Автор

sir, which software can I use for visualizing cech complex and topological data analysis?

chetansingh