splines/b

B-splines

B-splines (short for basis splines) are useful most for the continuity of their derivatives, making them an excellent choice for camera and object movement where smoothness across knots is paramount but exact position is less important.

Types

BSpline

</>

pub type BSpline(a) {
  BSpline(
    points: vec4.Vec4(a),
    scale: fn(a, Float) -> a,
    sum: fn(List(a)) -> a,
  )
}

Constructors

BSpline(
  points: vec4.Vec4(a),
  scale: fn(a, Float) -> a,
  sum: fn(List(a)) -> a,
)

Values

new_2d

</>

pub fn new_2d(
  p0: vec2.Vec2(Float),
  p1: vec2.Vec2(Float),
  p2: vec2.Vec2(Float),
  p3: vec2.Vec2(Float),
) -> BSpline(vec2.Vec2(Float))

Constructs a 2d B-spline, given the four control-points as Vec2fs.

new_3d

</>

pub fn new_3d(
  p0: vec3.Vec3(Float),
  p1: vec3.Vec3(Float),
  p2: vec3.Vec3(Float),
  p3: vec3.Vec3(Float),
) -> BSpline(vec3.Vec3(Float))

Constructs a 3d B-spline, given the four control-points as Vec3fs.

sample

</>

pub fn sample(curve: BSpline(a), t: Float) -> a

Samples any B-spline at time t, where 0.0 <= t <= 1.0 (usually).