Struct RBFImplicit 

pub struct RBFImplicit {
    pub centers: Vec<[f64; 3]>,
    pub weights: Vec<f64>,
}

Radial Basis Function (RBF) implicit surface.

The surface is defined as f(p) = Σᵢ wᵢ φ(|p − cᵢ|) where φ is a thin-plate spline kernel φ(r) = r² log(r + ε).

Use RBFImplicit::fit to compute weights from a set of point samples with target values, then RBFImplicit::eval to query the surface.

Fields

centers: Vec<[f64; 3]>

RBF centre positions.

weights: Vec<f64>

Weights for each centre (computed by fit).

Implementations

impl RBFImplicit

pub fn new(centers: Vec<[f64; 3]>) -> Self

Create a new RBFImplicit with given centres and zero weights.

pub fn fit( &mut self, pts: &[[f64; 3]], targets: &[f64], tol: f64, max_iter: usize, )

Fit weights from sample points pts and target values targets.

Solves the symmetric RBF system Φ w = t using the conjugate gradient method (up to max_iter iterations, tolerance tol).

Panics

Panics if pts.len() != targets.len() or pts.len() != centers.len().

pub fn eval(&self, p: [f64; 3]) -> f64

Evaluate the RBF implicit surface at point p.

Trait Implementations

impl Clone for RBFImplicit

fn clone(&self) -> RBFImplicit

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for RBFImplicit

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

Formats the value using the given formatter.