Module src.util.bezier_interpolator

Module for interpolating values with two dimensional bezier curves

Classes

class BezierInterpolator (p_1: Tuple[float, float], p_2: Tuple[float, float])

Interpolates values with two dimensional cubic bezier curve

The curve $B \colon [0,1] \to \mathbb{R}^2$, where $B(t)=(x(t), y(t))$ is defined by the static control points, $p_0=[0,1]^2$ and $p_3=[0,1]^2$, and the itermediate control points $p_1 \in [0,1]^2$ and $p_2 \in [0,1]^2$.

By using $y(t)$ and the inverse of $x(t)$ we can interpolate an input value $[0, 1]$ to an output value also on $[0, 1]$ with the interpolate() method.

Args

p_1

The first intermediate control point, $P_1$.

p_2

The second intermediate control point, $P_2$.

Methods

def interpolate(self, x: float) ‑> float

Interpolates input with given bezier curve

Takes input value $x$, and returns the corresponding $y$ value on the bezier curve defined by the control points.

Args

x

the value we want to interpolate $[0, 1]$.

Returns

The interpoalted value, also $[0, 1]$.