summarize_vertices: Reconstruct Vertices in a Cone

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

Reconstruct Vertices in a Cone

Description

Given a cone of directions and a threshold, We take the sub-level sets that are above the given threshold, and for each direction in the cone, we compute the set of vertices that are associated with the selected sub-level sets. We then intersect the set of vertices that are associated with the sub-level sets across each direction in the cone; only taking the vertices that are reconstructed in each direction of the cone.

Usage

summarize_vertices(
  dir,
  complex,
  rate_vals,
  len,
  reduction_operation = intersect,
  threshold,
  cone_size,
  ball = TRUE,
  ball_radius = 1,
  radius = 0
)

Arguments

dir	(nx3 matrix) : The matrix of directions in the cone that were used to compute the (S/D) EC curve 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 to compute the (S/D) EC curve on in each direction.
reduction_operation	(function) The function to summarize the sets of vertices. We default to intersect, and recommend it.
threshold	(float) : The threshold for determining which sub-level sets are used for the reconstruction.
cone_size	(int) : The number of directions in each cone.
ball	(boolean) : Determining whether or not to compute the (S/D) EC curve on a ball for uniform comparisons.
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.
radius	(int) : The number of sub-level sets "before" and "after" the selected sub-level sets we want to include. Setting Radius = 1 is recommened.
ec_type	(string) : What type of EC curve to compute. Currently we support ECT (Euler Characteristic Curve), SECT (Smooth Euler Characteristic Curve)

Value

final_selected_vertices (vector) : Vector of the vertex indices that are reconstructed for a given cone.

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