Struct CubicalComplex 

pub struct CubicalComplex {
    pub cells: Vec<Vec<bool>>,
    pub dims: Vec<usize>,
}

A cubical complex built from a binary (voxel) image.

Each cell is a multi-dimensional boolean array; a true entry indicates a filled voxel.

Fields

cells: Vec<Vec<bool>>

Flattened cell data (row-major).

dims: Vec<usize>

Dimensions of the array: dims[i] is the size along axis i.

Implementations

impl CubicalComplex

pub fn from_image(image: &[Vec<bool>]) -> Self

Build a CubicalComplex from a 2-D binary image given as rows.

image[i][j] is true if the pixel at row i, column j is filled.

pub fn boundary_map(&self) -> Vec<(usize, usize, i32)>

Compute the boundary map as an incidence list.

Returns a list of (cell_idx, face_idx, sign) triples.

pub fn homology_ranks(&self) -> Vec<usize>

Compute homology ranks of the cubical complex (0-D and 1-D only).

Returns [β_0, β_1] using a simple connected-components / cycle count.

Trait Implementations

impl Clone for CubicalComplex

fn clone(&self) -> CubicalComplex

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for CubicalComplex

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.