Struct RadialBasisFunction 

pub struct RadialBasisFunction {
    pub function_type: String,
    pub shape_param: f64,
}

Radial basis function interpolation / finite-difference stencil.

Fields

function_type: String

RBF type: “gaussian”, “multiquadric”, “inverse_multiquadric”, “thin_plate”, …

shape_param: f64

Shape parameter ε (controls spread / sharpness).

Implementations

impl RadialBasisFunction

pub fn new(function_type: impl Into<String>, shape_param: f64) -> Self

Create a new RadialBasisFunction.

pub fn phi(&self, r: f64) -> f64

Evaluate the RBF φ(r) at radius r.

pub fn interpolate( &self, centers: &[f64], values: &[f64], query: &[f64], ) -> Vec<f64>

Interpolate at query points using RBF interpolation with given centers and values.

Solves the system Φ c = f where Φ_{ij} = φ(‖xᵢ − xⱼ‖), then evaluates at query.

pub fn rbf_fd_stencil(&self, center: f64, neighbors: &[f64]) -> Vec<f64>

Compute a 1-D RBF-FD differentiation stencil for the point x using its neighbors.