Struct GeodesicMesh 

pub struct GeodesicMesh {
    pub vertices: Vec<[f64; 3]>,
    pub faces: Vec<[usize; 3]>,
}

Triangle mesh for geodesic geometry computations.

Stores vertex positions and triangle connectivity. All algorithms in this module operate on this structure.

Fields

vertices: Vec<[f64; 3]>

Vertex positions in 3-space.

faces: Vec<[usize; 3]>

Triangular faces as index triples [v0, v1, v2].

Implementations

impl GeodesicMesh

pub fn new(vertices: Vec<[f64; 3]>, faces: Vec<[usize; 3]>) -> Self

Create a new geodesic mesh.

pub fn num_vertices(&self) -> usize

Number of vertices.

pub fn num_faces(&self) -> usize

Number of faces.

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

Build adjacency: for each vertex, the list of neighbouring vertices.

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

Build face adjacency: for each vertex, which faces contain it.

pub fn face_normal(&self, fi: usize) -> [f64; 3]

Compute the face normal of a triangle (unnormalized).

pub fn vertex_normal(&self, vi: usize) -> [f64; 3]

Compute area-weighted vertex normal.

pub fn face_area(&self, fi: usize) -> f64

Compute face area.

pub fn total_area(&self) -> f64

Total surface area.

pub fn tangent_frame(&self, vi: usize) -> ([f64; 3], [f64; 3], [f64; 3])

Build a local tangent frame at a vertex: returns (tangent, bitangent, normal).

pub fn cotangent_weight(&self, i: usize, j: usize) -> f64

Cotangent weight for edge (i, j). Returns the sum of cot(alpha) + cot(beta) where alpha, beta are the angles opposite to edge ij in the two adjacent triangles.

pub fn voronoi_area(&self, vi: usize) -> f64

Voronoi area at vertex vi (mixed area formulation).

Trait Implementations

impl Clone for GeodesicMesh

fn clone(&self) -> GeodesicMesh

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for GeodesicMesh

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

Formats the value using the given formatter.