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alternative bezier point calculation

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themancalledjakob 2024-08-05 12:54:26 +02:00
parent 00e49d5056
commit a6e760db64
1 changed files with 19 additions and 0 deletions
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19
butils.py
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@ -78,6 +78,25 @@ def calc_point_on_bezier(bezier_point_1, bezier_point_2, t):
h2 = bezier_point_2.handle_left h2 = bezier_point_2.handle_left
return ((1 - t)**3) * p1 + (3 * t * (1 - t)**2) * h1 + (3 * (t**2) * (1 - t)) * h2 + (t**3) * p2 return ((1 - t)**3) * p1 + (3 * t * (1 - t)**2) * h1 + (3 * (t**2) * (1 - t)) * h2 + (t**3) * p2
# same in slightly more lines
# result is equal, performance minimally better perhaps?
# def calc_point_on_bezier(bezier_point_1, bezier_point_2, ratio):
# startPoint = bezier_point_1.co
# controlPoint1 = bezier_point_1.handle_right
# controlPoint2 = bezier_point_2.handle_left
# endPoint = bezier_point_2.co
# remainder = 1 - ratio
# ratioSquared = ratio * ratio
# remainderSquared = remainder * remainder
# startPointMultiplier = remainderSquared * remainder
# controlPoint1Multiplier = remainderSquared * ratio * 3
# controlPoint2Multiplier = ratioSquared * remainder * 3
# endPointMultiplier = ratioSquared * ratio
# return startPoint * startPointMultiplier + controlPoint1 * controlPoint1Multiplier + controlPoint2 * controlPoint2Multiplier + endPoint * endPointMultiplier
def calc_tangent_on_bezier(bezier_point_1, bezier_point_2, t): def calc_tangent_on_bezier(bezier_point_1, bezier_point_2, t):
p1 = bezier_point_1.co p1 = bezier_point_1.co
h1 = bezier_point_1.handle_right h1 = bezier_point_1.handle_right