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3D Hilbert Curve Implemented

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This commit is contained in:
Solara570 2017-12-20 20:31:02 +08:00
parent 87801c2ed8
commit 19a0a72545
1 changed files with 31 additions and 10 deletions
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41
topics/fractals.py
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@ -423,18 +423,39 @@ class HilbertCurve(SelfSimilarSpaceFillingCurve):
class HilbertCurve3D(SelfSimilarSpaceFillingCurve):
CONFIG = {
"offsets" : [
LEFT+DOWN+OUT,
LEFT+UP+OUT,
LEFT+UP+IN,
LEFT+DOWN+IN,
RIGHT+DOWN+IN,
RIGHT+UP+IN,
RIGHT+UP+OUT,
RIGHT+DOWN+OUT,
"offsets" : [
RIGHT+DOWN+IN,
LEFT+DOWN+IN,
LEFT+DOWN+OUT,
RIGHT+DOWN+OUT,
RIGHT+UP+OUT,
LEFT+UP+OUT,
LEFT+UP+IN,
RIGHT+UP+IN,
],
"offset_to_rotation_axis" : {}#TODO
"offset_to_rotation_axis_and_angle" : {
str(RIGHT+DOWN+IN) : (LEFT+UP+OUT , 2*np.pi/3),
str(LEFT+DOWN+IN) : (RIGHT+DOWN+IN, 2*np.pi/3),
str(LEFT+DOWN+OUT) : (RIGHT+DOWN+IN, 2*np.pi/3),
str(RIGHT+DOWN+OUT) : (UP , np.pi ),
str(RIGHT+UP+OUT) : (UP , np.pi ),
str(LEFT+UP+OUT) : (LEFT+DOWN+OUT, 2*np.pi/3),
str(LEFT+UP+IN) : (LEFT+DOWN+OUT, 2*np.pi/3),
str(RIGHT+UP+IN) : (RIGHT+UP+IN , 2*np.pi/3),
},
}
# Rewrote transform method to include the rotation angle
def transform(self, points, offset):
copy = np.array(points)
copy = rotate(
copy,
axis = self.offset_to_rotation_axis_and_angle[str(offset)][0],
angle = self.offset_to_rotation_axis_and_angle[str(offset)][1],
)
copy /= self.scale_factor,
copy += offset*self.radius*self.radius_scale_factor
return copy
class PeanoCurve(SelfSimilarSpaceFillingCurve):
CONFIG = {