reconstruct_vertices_on_shape: Computes the birth times of the vertices on the shape.

In lcrawlab/SINATRA: Sub Image Analysis using Topological Summary Statistics (SINATRA)

Computes the birth times of the vertices on the shape.

Description

Given a specified number of discrete cuts and a vector of importance values, the function computes the birth times of each vertex on the shape by iterating through the importance values in descending order and running the reconstruction procedure. The vertex birth time is the first importance value at which the vertex is reconstructed.

Usage

reconstruct_vertices_on_shape(
  dir,
  complex,
  rate_vals,
  len,
  cuts = 10,
  cone_size,
  ball_radius,
  ball = TRUE,
  radius = 0
)

Arguments

dir	(nx3 matrix): The matrix of directions for which the (S/D) EC curve were computed over.
complex	(list) : The list containing metadata of the Vertices, Edges, and Faces of the mesh (use process_off_file_v3 to obtain).
rate_vals	(vector) : Vector of variable importances for each sub-level set across each direction in a given cone.
len	(int) : The number of sub-level sets which the (S/D) EC curve were computed in each direction.
cuts	(int) How many steps to reconstruct when descending the importance values. A higher cut = more fine granularity on the birth times.
cone_size	(int) : The number of directions in each cone.
ball_radius	(float) : The radius of the ball to compute the (S/D) EC on; if you want the curve to be computed relative to the shape, don't touch this parameter.
ball	(boolean) : Determining whether or not to compute the (S/D) EC curve on a ball for uniform comparisons.
radius	(int) : The number of sub-level sets "before" and "after" the selected sub-level sets we want to include.

Value

vert_matrix (matrix) A matrix detailing at which importance value the vertex was reconstructed, and which "cut" the vertex was reconstructed relative to the other vertices.

lcrawlab/SINATRA documentation built on Sept. 13, 2023, 2 p.m.