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December 1, 2021 00:05
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Bezier curve implementation via recursive method in python
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| # This is an implementation of bezier curves via recursive method. | |
| import numpy as np | |
| def bezier(t, points): | |
| """ | |
| Get the point at `t` for Bezier Curve with `points` control points. | |
| @param t curve parameter. 0 <= t <= 1 | |
| @param points control points of Bezier Curve. Type is numpy array | |
| @returns the value at `t` of Bezier Curve. | |
| """ | |
| if len(points) == 1: | |
| return points[0] | |
| return (1 - t) * bezier(t, points[:-1]) + t * bezier(t, points[1:]) | |
| # Usage | |
| # Control points for Bezier Curve | |
| pts = np.array([[3, 0], [1, 5], [5, 6], [2.5, 2.5], [1, 1]]) | |
| # get points for each i from Bezier curve. | |
| values = [bezier(i, pts) for i in np.linspace(0, 1, 30)] | |
| # visualize curve | |
| from matplotlib import pyplot as plt | |
| x, y = zip(*values) | |
| f = plt.figure() | |
| plt.gca().set_aspect('equal', adjustable='box') | |
| plt.plot(x, y) | |
| plt.show() |
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