compute_standardized_ec_curve: Computes the EC curve on a ball

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

Computes the EC curve on a ball

Description

Computes the EC curve of a mesh on a bounding ball of specified radius $radius$. The filtration steps for which the (S/D) EC curve are computed is done relative to the bounding ball. For filtrations steps that are computed relative to the shape, use compute_discrete_ec_curve. For comparisons with multiple shapes, this is the recommended function.

Usage

compute_standardized_ec_curve(
  complex,
  vertex_function,
  curve_length,
  first_column_index = FALSE,
  ball_radius
)

Arguments

complex	(list) : The list containing metadata about the mesh; use process_off_filev3 to obtain this list from an off file, or convert_complex to convert existing mesh3d objects to this list.
vertex_function	(matrix): A matrix containing the projections of each vertex along a given direction. Computed as the dot product of the vertex onto the direction on the unit sphere.
curve_length	(int): The number of sub-level sets for which to compute the EC curve on in a given direction.
first_column_index	(boolean): Specifying the vertex index is included in the vertex function matrix.
ball_radius	(float): The radius of the bounding ball.

Value

ec_curve (nx2 matrix): A matrix containing the EC curve of the given simplicial complex with the first index as the projections for which the EC was computed on.

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