Struct BSpline 

pub struct BSpline {
    pub control_points: Vec<[f64; 3]>,
    pub knot_vector: Vec<f64>,
    pub degree: usize,
}

A non-uniform B-spline curve defined by a knot vector and control points.

Uses the Cox–de Boor recursion for evaluation and supports knot insertion.

Fields

control_points: Vec<[f64; 3]>

Control points.

knot_vector: Vec<f64>

Knot vector (must have length = control_points.len() + degree + 1).

degree: usize

Polynomial degree.

Implementations

impl BSpline

pub fn new( degree: usize, control_points: Vec<[f64; 3]>, knot_vector: Vec<f64>, ) -> Self

Construct a new B-spline curve.

Panics

Panics if knot_vector.len() != control_points.len() + degree + 1.

pub fn clamped_uniform(degree: usize, control_points: Vec<[f64; 3]>) -> Self

Create a clamped uniform B-spline (interpolates first and last control points).

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

Evaluate the B-spline at parameter t using the de Boor algorithm.

pub fn insert_knot(&self, t_new: f64) -> Self

Insert knot t_new into the knot vector (Boehm’s algorithm).

Returns a new BSpline with one additional control point and knot.

impl BSpline

pub fn insert_knot_inplace(&mut self, t: f64)

Insert knot t in place, modifying this B-spline (Boehm’s algorithm).

impl BSpline

pub fn derivative(&self, t: f64) -> [f64; 3]

Derivative of the B-spline at parameter t using finite differences.

pub fn arc_length(&self, n_samples: usize) -> f64

Arc length approximation by sampling n_samples parameter values.