VietorisRipsComplex

Construct a Vietoris–Rips Complex (1-skeleton + maximal simplices)

Provides an implementation of simplicial complexes for
Topological Data Analysis (TDA). The package includes functions to
compute faces, boundary operators, Betti numbers, Euler characteristic,
and to construct simplicial complexes. It also implements persistent
homology, from building filtrations to computing persistence diagrams,
with the aim of helping readers understand the core concepts of
computational topology.
Methods are based on standard references in persistent homology such as
Zomorodian and Carlsson (2005) <doi:10.1007/s00454-004-1146-y> and
Chazal and Michel (2021) <doi:10.3389/frai.2021.667963>.

ChiChien Wang

SimplicialComplex

Topological Data Analysis: Simplicial Complex

VietorisRipsComplex function

<dl><dt>points</dt>
<dd>A numeric matrix or data.frame with one point per row (columns are coordinates).</dd>
<dt>epsilon</dt>
<dd>A positive numeric threshold; connect points with distance &lt; \(\epsilon\).</dd></dl>

Arguments

Construct a Vietoris–Rips Complex (1-skeleton + maximal simplices) — VietorisRipsComplex

<dl>

<dt>points</dt>
<dd>A numeric matrix or data.frame with one point per row (columns are coordinates).</dd>


<dt>epsilon</dt>
<dd>A positive numeric threshold; connect points with distance &lt; \(\epsilon\).</dd>

</dl>

VietorisRipsComplex: Construct a Vietoris–Rips Complex (1-skeleton + maximal simplices)

Description

Usage

Value

Arguments

Details

Examples