Struct RBFInterpolator 

pub struct RBFInterpolator { /* private fields */ }

Radial Basis Function interpolator for scattered data

Examples

use scirs2_spatial::interpolate::{RBFInterpolator, RBFKernel};
use scirs2_core::ndarray::array;

// Create sample points and values
let points = array![
    [0.0, 0.0],
    [1.0, 0.0],
    [0.0, 1.0],
    [1.0, 1.0],
];
let values = array![0.0, 1.0, 2.0, 3.0];

// Create interpolator with Gaussian kernel
let interp = RBFInterpolator::new(
    &points.view(),
    &values.view(),
    RBFKernel::Gaussian,
    Some(1.0),
    None,
).expect("Operation failed");

// Interpolate at a point
let query_point = array![0.5, 0.5];
let result = interp.interpolate(&query_point.view()).expect("Operation failed");

// For this simple example, should be close to 1.5

Implementations

impl RBFInterpolator

pub fn new( points: &ArrayView2<'_, f64>, values: &ArrayView1<'_, f64>, kernel: RBFKernel, epsilon: Option<f64>, polynomial: Option<bool>, ) -> SpatialResult<Self>

Create a new RBF interpolator

Arguments

• points - Input points with shape (n_samples, n_dims)
• values - Input values with shape (n_samples,)
• kernel - RBF kernel function to use
• epsilon - Shape parameter for the kernel (default depends on kernel)
• polynomial - Whether to include polynomial terms (default: false)

Returns

A new RBFInterpolator

Errors

• If points and values have different lengths
• If fewer than d+1 points are provided (where d is the dimensionality)
• If the system of equations is singular

pub fn interpolate(&self, point: &ArrayView1<'_, f64>) -> SpatialResult<f64>

Interpolate at a single point

Arguments

• point - Query point with shape (n_dims,)

Returns

Interpolated value at the query point

Errors

• If the point dimensions don’t match the interpolator

pub fn interpolate_many( &self, points: &ArrayView2<'_, f64>, ) -> SpatialResult<Array1<f64>>

Interpolate at multiple points

Arguments

• points - Query points with shape (n_queries, n_dims)

Returns

Interpolated values with shape (n_queries,)

Errors

• If the points dimensions don’t match the interpolator

pub fn kernel(&self) -> RBFKernel

Get the kernel used by this interpolator

pub fn epsilon(&self) -> f64

Get the shape parameter (epsilon) used by this interpolator

pub fn has_polynomial(&self) -> bool

Check if this interpolator includes polynomial terms

Trait Implementations

impl Clone for RBFInterpolator

fn clone(&self) -> RBFInterpolator

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for RBFInterpolator

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

Formats the value using the given formatter.