n_bound_connect_3D: N Bound Connect 3D

In ashapesampler: Generating Alpha Shapes

N Bound Connect 3D

Description

Function returns the minimum number of points to preserve the homology with an open cover of radius alpha.

Usage

n_bound_connect_3D(alpha, delta = 0.05, r = 1, rmin = 0.01, bound = "cube")

Arguments

alpha	radius of open balls around points
delta	probability of isolated point
r	radius of sphere, outer radius of shell, or length of cube side
rmin	inner radius of shell
bound	manifold from which points sampled. Options are sphere, shell, cube

Value

integer of minimum number of points needed

Examples

# For a cube with probability 0.05 of isolated points
n_bound_connect_3D(0.2, 0.05,0.9)
# For a sphere with probability 0.01 of isolated points
n_bound_connect_3D(0.2, 0.01, 1, bound="sphere")
# For a shell with probability 0.1 isolated points.
n_bound_connect_3D(0.2, 0.1, 1, 0.25, bound="shell")

ashapesampler documentation built on May 29, 2024, 3:22 a.m.