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Properties of Bézier Splines§

[1]:

import matplotlib.pyplot as plt
import numpy as np

[2]:

import splines

[3]:

# TODO: example plot of cubic Bézier with "handles"

[4]:

control_points = [
    [(0, 0), (1, 4)],
    [(1, 4), (2, 2), (4, 4)],
    [(4, 4), (6, 4), (5, 2), (6, 2)],
    [(6, 2), (6, 0), (4, 0), (5, 1), (3, 1)],
]

[5]:

s = splines.Bernstein(control_points)

[6]:

s.grid

[6]:

[0, 1, 2, 3, 4]

[7]:

times = np.linspace(s.grid[0], s.grid[-1], 100)

[8]:

fig, ax = plt.subplots()
for segment in control_points:
    xy = np.transpose(segment)
    ax.plot(*xy, '--', linewidth=1)
    ax.scatter(*xy, color='grey')
ax.plot(*s.evaluate(times).T, 'k.')
ax.axis('equal');

[8]:

(-0.30000000000000004, 6.3, -0.2, 4.2)

../_images/euclidean_bezier-properties_9_1.svg

[9]:

# TODO: example with non-uniform time