graphics.bezier_curve

Classes

BezierCurve

Bezier curve is a weighted sum of a set of control points.

Module Contents

class graphics.bezier_curve.BezierCurve(list_of_points: list[tuple[float, float]])

Bezier curve is a weighted sum of a set of control points. Generate Bezier curves from a given set of control points. This implementation works only for 2d coordinates in the xy plane.

basis_function(t: float) → list[float]

The basis function determines the weight of each control point at time t.

t: time value between 0 and 1 inclusive at which to evaluate the basis of

the curve.

returns the x, y values of basis function at time t

>>> curve = BezierCurve([(1,1), (1,2)])
>>> [float(x) for x in curve.basis_function(0)]
[1.0, 0.0]
>>> [float(x) for x in curve.basis_function(1)]
[0.0, 1.0]

bezier_curve_function(t: float) → tuple[float, float]

The function to produce the values of the Bezier curve at time t.

t: the value of time t at which to evaluate the Bezier function

Returns the x, y coordinates of the Bezier curve at time t.

The first point in the curve is when t = 0. The last point in the curve is when t = 1.

>>> curve = BezierCurve([(1,1), (1,2)])
>>> tuple(float(x) for x in curve.bezier_curve_function(0))
(1.0, 1.0)
>>> tuple(float(x) for x in curve.bezier_curve_function(1))
(1.0, 2.0)

plot_curve(step_size: float = 0.01)

Plots the Bezier curve using matplotlib plotting capabilities.

step_size: defines the step(s) at which to evaluate the Bezier curve. The smaller the step size, the finer the curve produced.

degree

list_of_points