sampling3Dashape: Sample 3D alpha shapes

Description

This function takes parameter input from user and returns list of three dimensional alpha shape objects from the ahull package.

Usage

sampling3Dashape(
  N,
  n.dependent = TRUE,
  nconnect = TRUE,
  nhomology = FALSE,
  n.noise = FALSE,
  afixed = FALSE,
  mu = 0.24,
  sigma = 0.05,
  delta = 0.05,
  n = 20,
  alpha = 0.24,
  lambda = 3,
  r = 1,
  rmin = 0.25,
  bound = "cube"
)

Value

list of alpha shapes of length N

Arguments

N: number of alpha shapes to sample
n.dependent: boolean, whether the number of points n are dependent on alpha
nconnect: boolean, whether user wants shapes to have one connected component with high probability
nhomology: boolean, whether user wants shapes to preserve homology of underlying manifold with high probability
n.noise: boolean, whether to add noise variable to number of points n for more variety in shapes
afixed: boolean, whether alpha is fixed for all shapes sampled
mu: mean value of truncated normal from which alpha is sampled
sigma: standard deviation of truncated normal distribution from which alpha is sampled
delta: probability of getting disconnected shape or not preserving homology
n: minimum number of points to be sampled for each alpha shape
alpha: chosen fixed alpha; only used if afixed = TRUE
lambda: parameter for adding noise to n; only used if n.noise=TRUE
r: length of radius of circle, side length of square, or outer radius of annulus
rmin: inner radius of annulus
bound: compact manifold to be sampled from; either cube, sphere, or shell