Struct CubicBSpline 

pub struct CubicBSpline<P: VectorSpace> {
    pub control_points: Vec<P>,
}

A spline interpolated continuously across the nearest four control points. The curve does not necessarily pass through any of the control points.

Interpolation

The curve does not necessarily pass through its control points.

Tangency

Tangents are automatically computed based on the positions of control points.

Continuity

The curve is C2 continuous, meaning it has no holes or jumps, the tangent vector changes smoothly along the entire curve, and the acceleration also varies continuously. The acceleration continuity of this spline makes it useful for camera paths.

Parametrization

Each curve segment is defined by a window of four control points taken in sequence. When to_curve_cyclic is used to form a cyclic curve, the three additional segments used to close the curve come last.

Usage

let points = [
    vec2(-1.0, -20.0),
    vec2(3.0, 2.0),
    vec2(5.0, 3.0),
    vec2(9.0, 8.0),
];
let b_spline = CubicBSpline::new(points).to_curve().unwrap();
let positions: Vec<_> = b_spline.iter_positions(100).collect();

Fields

control_points: Vec<P>

The control points of the spline

Implementations

impl<P: VectorSpace> CubicBSpline<P>

pub fn new(control_points: impl IntoIterator<Item = P>) -> Self

Build a new B-Spline.

Trait Implementations

impl<P: Clone + VectorSpace> Clone for CubicBSpline<P>

fn clone(&self) -> CubicBSpline<P>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<P: VectorSpace<Scalar = f32>> CubicGenerator<P> for CubicBSpline<P>

Available on crate feature alloc only.

type Error = InsufficientDataError

An error type indicating why construction might fail.

fn to_curve(&self) -> Result<CubicCurve<P>, Self::Error>

Build a CubicCurve by computing the interpolation coefficients for each curve segment.

impl<P: VectorSpace<Scalar = f32>> CyclicCubicGenerator<P> for CubicBSpline<P>

Available on crate feature alloc only.

type Error = InsufficientDataError

An error type indicating why construction might fail.

fn to_curve_cyclic(&self) -> Result<CubicCurve<P>, Self::Error>

Build a cyclic CubicCurve by computing the interpolation coefficients for each curve segment, treating the control data as cyclic so that the result is a closed curve.

impl<P: Debug + VectorSpace> Debug for CubicBSpline<P>

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

Formats the value using the given formatter.