cechmate.filtrations.Alpha

class cechmate.filtrations.Alpha(maxdim=None, verbose=True)

Construct an Alpha filtration from the given data.

Note

Alpha filtrations use radius instead of diameter. Multiply results or X by 2 when comparing the filtration to Rips or Cech.

Examples

>>> r = Alpha()
>>> simplices = r.build(X)
>>> diagrams = r.diagrams(simplices)

__init__(maxdim=None, verbose=True)

Default constructor

Parameters

• maxdim (int) – Maximum dimension of homology to compute

• verbose (boolean) – If True, then print logging statements.

Methods

__init__([maxdim, verbose])	Default constructor
build(X)	Do the Alpha filtration of a Euclidean point set (requires scipy)
diagrams([simplices, show_inf])	Compute persistence diagrams for the simplices.

Attributes

MIN_DET