Struct HeatMethodSolver 

pub struct HeatMethodSolver {
    pub mesh: DiscreteMesh,
    pub diffusion_time: f64,
    pub num_steps: usize,
}

Heat-method geodesic distance solver.

Approximates smooth geodesic distances by:

1. Diffusing a heat impulse for a short time t.
2. Computing the gradient of the heat field.
3. Normalising and divergence-computing to recover distance.

This implementation uses an explicit Euler diffusion step and the cotangent Laplacian.

Fields

mesh: DiscreteMesh

The underlying mesh.

diffusion_time: f64

Diffusion time parameter; typically h^2 where h is mean edge length.

num_steps: usize

Number of explicit Euler steps for heat diffusion.

Implementations

impl HeatMethodSolver

pub fn new(mesh: DiscreteMesh, diffusion_time: f64, num_steps: usize) -> Self

Construct a solver. If diffusion_time <= 0, it is set automatically to the square of the mean edge length.

pub fn compute(&self, sources: &[usize]) -> Vec<f64>

Compute approximate geodesic distances from sources.

Returns distances for each vertex; values are normalised so that the minimum source distance is zero.

Trait Implementations

impl Clone for HeatMethodSolver

fn clone(&self) -> HeatMethodSolver

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for HeatMethodSolver

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

Formats the value using the given formatter.