Struct KnotVector 

pub struct KnotVector {
    pub knots: Vec<f64>,
}

B-spline knot vector with associated utilities.

A knot vector is a non-decreasing sequence of real numbers T = [t_0, t_1, …, t_{n+p+1}] where n+1 is the number of basis functions and p is the polynomial degree.

Fields

knots: Vec<f64>

Knot values (non-decreasing).

Implementations

impl KnotVector

pub fn new(knots: Vec<f64>) -> Self

Construct a knot vector from a slice.

Panics

Panics if the knots are not non-decreasing.

pub fn clamped_uniform(n_ctrl: usize, degree: usize) -> Self

Construct a uniform (clamped) knot vector for n+1 control points and degree p.

The first and last knots are repeated p+1 times (clamped), and the interior knots are uniformly spaced.

pub fn find_span(&self, t: f64, degree: usize, n_ctrl: usize) -> usize

Find the knot span index i such that t ∈ [t_i, t_{i+1}).

Uses binary search. For t at the end of the domain, returns the last non-zero-length span.

pub fn len(&self) -> usize

Number of knots in the vector.

pub fn is_empty(&self) -> bool

Whether the knot vector is empty.

pub fn domain(&self) -> (f64, f64)

Return the domain [a, b] of the knot vector (a = first knot, b = last knot).

Trait Implementations

impl Clone for KnotVector

fn clone(&self) -> KnotVector

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for KnotVector

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

Formats the value using the given formatter.