1 - AlphaStructures.jl
AlphaStructures.jl
is a Julia library that provides some tool for point cloud analysis.
With AlphaStructures.jl
you can:
- evaluate the $\alpha$-Shape of a point cloud
- compute the $\alpha$-Filtration of a point cloud
- build the $\alpha$-Complex of a point cloud
- find some basics about Persistent Homology evaluation of a cloud of points
In this documentation we present the problem and the related solution we have implemented so far both from the mathematical [EM92] and the computer science [Ede14] point of view.
Dependencies
AlphaStructures.jl
has the following dependeces:
Combinatorics.jl
by Julia MathDataStructures.jl
by Julia CollectionsLinearAlgebraicRepresentation
by CVD LabTriangle.jl
by CVD Lab
and as additional dependece:
- ViewerGL by CVD Lab
Docstrings conventions
- Bold is used to point out theory concepts.
Monospace
is used for everything code related.