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-rw-r--r--AutopyExtended/Curve/CurveBezier.py25
1 files changed, 25 insertions, 0 deletions
diff --git a/AutopyExtended/Curve/CurveBezier.py b/AutopyExtended/Curve/CurveBezier.py
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+++ b/AutopyExtended/Curve/CurveBezier.py
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+import numpy as np
+
+from Curve import Curve
+from scipy.special import comb
+
+class CurveBezier(Curve):
+ def __init__(self, cp, tn):
+ self.__tn = tn
+ x = np.array([p[0] for p in cp])
+ y = np.array([p[1] for p in cp])
+ t = np.linspace(0, 1, tn)
+ poly = np.array([CurveBezier.bernstein(i, len(cp) - 1, t) for i in range(0, len(cp))])
+ self.__x = np.dot(x, poly)
+ self.__y = np.dot(y, poly)
+
+ def point(self, t, t_target=None):
+ if(t_target == None):
+ t_target = self.__tn
+ if(t_target != self.__tn):
+ raise ValueError("t_target must be equal to tn.")
+ return (self.__x[t], self.__y[t])
+
+ @staticmethod
+ def bernstein(i, n, t):
+ return comb(n, i) * (t ** (n - 1)) * (1 - t) ** i