1.手写bezier公式,生成bezier代码:
1 import numpy as np 2 import matplotlib.pyplot as plt 3 import bezier 4 b_xs = [] 5 b_ys = [] 6 7 8 # xs表示原始数据 9 # n表示阶数 10 # k表示索引 11 def one_bezier_curve(a, b, t): 12 return (1 - t) * a + t * b 13 14 15 def n_bezier_curve(xs, n, k, t): 16 if n == 1: 17 return one_bezier_curve(xs[k], xs[k + 1], t) 18 else: 19 return (1 - t) * n_bezier_curve(xs, n - 1, k, t) + t * n_bezier_curve(xs, n - 1, k + 1, t) 20 21 22 def bezier_curve(xs, ys, num, b_xs, b_ys): 23 n = 5 # 采用5次bezier曲线拟合 24 t_step = 1.0 / (num - 1) 25 # t_step = 1.0 / num 26 print(t_step) 27 t = np.arange(0.0, 1 + t_step, t_step) 28 print(len(t)) 29 for each in t: 30 b_xs.append(n_bezier_curve(xs, n, 0, each)) 31 b_ys.append(n_bezier_curve(ys, n, 0, each)) 32 33 34 def func(): 35 xs = [1.0, 2.1, 3.0, 4.0, 5.0, 6.0] 36 ys = [0, 1.1, 2.1, 1.0, 0.2, 0] 37 num = 20 38 39 bezier_curve(xs, ys, num, b_xs, b_ys) # 将计算结果加入到列表中 40 print(b_xs, b_ys) 41 plt.figure() 42 plt.plot(b_xs, b_ys, 'r') # bezier曲线 43 # plt.plot(xs, ys) # 原曲线 44 # plt.show() 45 46 func()
2.使用python3 内置bezier包,完成bezier曲线
1 a = np.array([[1.0, 2.1, 3.0, 4.0, 5.0, 6.0], [0, 1.1, 2.1, 1.0, 0.2, 0]]) 2 curve = bezier.Curve(a, degree=5) 3 # print(curve) 4 s_vals = np.linspace(0.0, 1.0, 30) 5 data = curve.evaluate_multi(s_vals) 6 x33 = data[0] 7 y33 = data[1] 8 plt.plot(x33, y33, 'y', linewidth=2.0, linestyle="-", label="y2") 9 plt.show()