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trim.py
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trim.py
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# ##### BEGIN GPL LICENSE BLOCK #####
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU General Public License
# as published by the Free Software Foundation; either version 2
# of the License, or (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software Foundation,
# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
#
# ##### END GPL LICENSE BLOCK #####
bl_info = {
"name": "Curve Trim",
"description": "Trims segment from selected point for Bezier Splines",
"author": "jimflim",
"version": (0, 1),
"blender": (2, 75, 0),
"category": "Add Curve",
"location": "View3D > Tools > Curves",
"warning": "",
"wiki_url": "https://github.com/jimflim/blender-scripts"
}
import bpy
from mathutils import Vector
from mathutils.geometry import intersect_line_line_2d, intersect_line_line, interpolate_bezier
PRECISION = 1.0e-5
def active_spline_id(shape_ob):
'''
returns integer of active spline
'''
return [i for i,s in enumerate(shape_ob.data.splines) if s == shape_ob.data.splines.active][0]
def sel_point_id(spline_ob):
'''
> spline_ob: bezier spline object
< returns integer of selected points
'''
return [i for i,bp in enumerate(spline_ob.bezier_points) if bp.select_control_point]
def interpolate_all_segments(spline_ob):
'''
> spline_ob: bezier spline object
< returns interpolated splinepoints
'''
point_range = len(spline_ob.bezier_points)
pl = []
for i in range (0, point_range-1+spline_ob.use_cyclic_u):
if len(pl) > 0:
pl.pop()
seg = (interpolate_bezier(spline_ob.bezier_points[i%point_range].co,
spline_ob.bezier_points[i%point_range].handle_right,
spline_ob.bezier_points[(i+1)%point_range].handle_left,
spline_ob.bezier_points[(i+1)%point_range].co,
spline_ob.resolution_u+1))
pl += seg
return pl
def interpolate_spline(spline_ob):
'''
> spline_ob: bezier spline object
< returns segments as lists of vectors
'''
point_range = len(spline_ob.bezier_points)
segments = []
for i in range (0, point_range-1+spline_ob.use_cyclic_u):
segments.append(interpolate_bezier(spline_ob.bezier_points[i%point_range].co,
spline_ob.bezier_points[i%point_range].handle_right,
spline_ob.bezier_points[(i+1)%point_range].handle_left,
spline_ob.bezier_points[(i+1)%point_range].co,
spline_ob.resolution_u+1))
return segments
def linear_spline_list(shape_ob):
'''
> shape_ob: bezier shape object
< returns list of linear interpolated splinepoints
'''
return [interpolate_spline(spl) for spl in shape_ob.data.splines]
def spline_X_shape(shape_ob, spl_index):
'''
> shape_ob: bezier shape object
> spl_index: spline number
< returns list of intersections, occuring segment
'''
shape_list = linear_spline_list(shape_ob)
sl = interpolate_all_segments(shape_ob.data.splines[spl_index])
cross = []
# check for self-intersections first
sl_length = 0
for i in range(len(sl)-1):
for j in range(i+2, len(sl)-1):
x = intersect_line_line_2d(sl[i], sl[i+1], sl[j], sl[j+1])
if x != None:
cross.append([x ,i // shape_ob.data.splines[spl_index].resolution_u, sl_length + (x.to_3d()-sl[i]).length])
sl_length += (sl[i+1] - sl[i]).length
# then empty active spline from shapelist
shape_list[spl_index] = []
# check complete shape for intersection with active spline
sl_length = 0
for i in range(len(sl)-1):
for j,spl in enumerate(shape_list):
for k,pt in enumerate(spl):
for l in range(len(pt)-1):
x = intersect_line_line_2d(sl[i], sl[i+1], pt[l], pt[l+1])
if x != None and not ((sl[i] - pt[l]).length < PRECISION or
(sl[i] - pt[l+1]).length < PRECISION or
(sl[i+1] - pt[l]).length < PRECISION or
(sl[i+1] - pt[l+1]).length < PRECISION):
cross.append([x, i // shape_ob.data.splines[spl_index].resolution_u, sl_length + (x.to_3d()-sl[i]).length])
sl_length += (sl[i+1] - sl[i]).length
cross = sorted([c for c in cross], key = lambda i:i[2])
return [c[0:2] for c in cross]
def is_between(x, a, b):
'''
> x, a, b = point
< True if x lies between a and b
'''
cross = (x[1] - a[1]) * (b[0] - a[0]) - (x[0] - a[0]) * (b[1] - a[1])
if abs(cross) > PRECISION: return False
dot = (x[0] - a[0]) * (b[0] - a[0]) + (x[1] - a[1])*(b[1] - a[1])
if dot < 0 : return False
squaredlengthba = (b[0] - a[0])*(b[0] - a[0]) + (b[1] - a[1])*(b[1] - a[1])
if dot > squaredlengthba: return False
return True
def ratio_to_segment(x, p1, p2, p3, p4, res):
'''
> x: intersection point
> p1,p2,p3,p4: cubic bezier control points
< ratio of x to length of the segment
'''
seg = interpolate_bezier(p1, p2, p3, p4, res+1)
seg_length = length = ratio = 0
for i in range (len(seg)-1):
seg_length += (seg[i+1] - seg[i]).length
for i in range (len(seg)-1):
if is_between(x, seg[i], seg[i+1]):
length += (x - seg[i].to_2d()).length
return length/seg_length
else:
length += (seg[i+1] - seg[i]).length
def split_segment(t,p1,p2,p3,p4):
'''
> t: ratio
> p1,p2,p3,p4: cubic bezier control points
< two lists of 4 control points using de Casteljau's algorithm
'''
q1 = p1 + (p2-p1)*t
q2 = p2 + (p3-p2)*t
q3 = p3 + (p4-p3)*t
r1 = q1 + (q2-q1)*t
r2 = q2 + (q3-q2)*t
r3 = r1 + (r2-r1)*t
return ([p1,q1,r1,r3], [r3,r2,q3,p4])
def chop(x, p1, p2, p3, p4, res):
'''
> x: intersection point
> p1,p2,p3,p4: cubic bezier control points
> res: spline resolution
< both chopped segment's cubic bezier control points
'''
ratio = ratio_to_segment(x, p1, p2, p3, p4, res)
if ratio != None:
return split_segment(ratio, p1, p2, p3, p4)
else:
return None
def main(context):
shape_ob = context.active_object
spline_ob = shape_ob.data.splines.active
spline_id = active_spline_id(shape_ob)
# gather all intersections of the active spline
spl_int = spline_X_shape(shape_ob, spline_id)
point_id = sel_point_id(shape_ob.data.splines[spline_id])
if len(point_id) > 1: return
else: point_id = point_id[0]
low = [x for x in spl_int if x[1] < point_id]
high = spl_int[len(low):]
# case of cyclic spline
if spline_ob.use_cyclic_u:
if len(low) + len(high) <= 1:
print ("cyclic spline needs at least 2 intersections")
return
elif len(low) + len(high) > 1:
print ("breaking up cyclic spline")
if len(low) == 0:
low = high
npoints = high[-1][1] - high[0][1] + 2
elif len(high) == 0:
high = low
npoints = low[-1][1] - low[0][1] + 2
else:
npoints = len(spline_ob.bezier_points) - high[0][1] + low[-1][1] + 2
spline_ob_data = [[[bp.co, bp.handle_left_type, bp.handle_right_type, bp.handle_left, bp.handle_right] for bp in spline_ob.bezier_points], spline_ob.resolution_u, spline_ob.use_cyclic_u]
shape_ob.data.splines.new('BEZIER')
new_spl = shape_ob.data.splines[-1]
new_spl.bezier_points.add(npoints-1)
print (len(spline_ob_data[0]), len(new_spl.bezier_points), npoints)
for i, bp in enumerate(new_spl.bezier_points):
print((i+high[0][1])%npoints)
bp.co, bp.handle_left_type, bp.handle_right_type, bp.handle_left, bp.handle_right = spline_ob_data[0][(i+high[0][1])%(len(spline_ob_data[0]))]
new_spl.resolution_u = spline_ob_data[1]
s1, s2 = chop(low[-1][0],
spline_ob.bezier_points[low[-1][1]].co,
spline_ob.bezier_points[low[-1][1]].handle_right,
spline_ob.bezier_points[(low[-1][1]+1)%(len(spline_ob_data[0]))].handle_left,
spline_ob.bezier_points[(low[-1][1]+1)%(len(spline_ob_data[0]))].co,
spline_ob.resolution_u)
new_spl.bezier_points[-1].handle_left_type = 'FREE'
new_spl.bezier_points[-1].handle_right_type = 'FREE'
new_spl.bezier_points[-2].handle_left_type = 'FREE'
new_spl.bezier_points[-2].handle_right_type = 'FREE'
new_spl.bezier_points[-1].co = low[-1][0].to_3d() # though mathematically correct: s1[3]
new_spl.bezier_points[-2].handle_right = s1[1]
new_spl.bezier_points[-1].handle_left = s1[2]
new_spl.bezier_points[-1].handle_right = s2[1]
s3, s4 = chop(high[0][0],
spline_ob.bezier_points[high[0][1]].co,
spline_ob.bezier_points[high[0][1]].handle_right,
spline_ob.bezier_points[(high[0][1]+1)%(len(spline_ob_data[0]))].handle_left,
spline_ob.bezier_points[(high[0][1]+1)%(len(spline_ob_data[0]))].co,
spline_ob.resolution_u)
new_spl.bezier_points[0].handle_left_type = 'FREE'
new_spl.bezier_points[0].handle_right_type = 'FREE'
new_spl.bezier_points[1].handle_left_type = 'FREE'
new_spl.bezier_points[1].handle_right_type = 'FREE'
new_spl.bezier_points[0].co = high[0][0].to_3d() # though mathematically correct: s2[0]
new_spl.bezier_points[0].handle_left = s3[2]
new_spl.bezier_points[0].handle_right = s4[1]
new_spl.bezier_points[1].handle_left = s4[2]
shape_ob.data.splines.remove(spline_ob)
# case of open spline
elif not spline_ob.use_cyclic_u:
# case of spline end selected
if len(low) > 0 and len(high) == 0:
print ("moving last point to ", low[-1])
spline_ob_data = [[[bp.co, bp.handle_left_type, bp.handle_right_type, bp.handle_left, bp.handle_right] for bp in spline_ob.bezier_points], spline_ob.resolution_u, spline_ob.use_cyclic_u]
shape_ob.data.splines.new('BEZIER')
new_spl = shape_ob.data.splines[-1]
new_spl.bezier_points.add(low[-1][1] + 1)
for i, bp in enumerate(new_spl.bezier_points):
bp.co, bp.handle_left_type, bp.handle_right_type, bp.handle_left, bp.handle_right = spline_ob_data[0][i]
new_spl.resolution_u, new_spl.use_cyclic_u = spline_ob_data[1], spline_ob_data[2]
s1, s2 = chop(low[-1][0],
spline_ob.bezier_points[low[-1][1]].co,
spline_ob.bezier_points[low[-1][1]].handle_right,
spline_ob.bezier_points[low[-1][1]+1].handle_left,
spline_ob.bezier_points[low[-1][1]+1].co,
spline_ob.resolution_u)
new_spl.bezier_points[-1].handle_left_type = 'FREE'
new_spl.bezier_points[-1].handle_right_type = 'FREE'
new_spl.bezier_points[-2].handle_left_type = 'FREE'
new_spl.bezier_points[-2].handle_right_type = 'FREE'
new_spl.bezier_points[-1].co = low[-1][0].to_3d() # though mathematically correct: s1[3]
new_spl.bezier_points[-2].handle_right = s1[1]
new_spl.bezier_points[-1].handle_left = s1[2]
new_spl.bezier_points[-1].handle_right = s2[1]
shape_ob.data.splines.remove(spline_ob)
# case of spline start selected
elif len(low) == 0 and len(high) > 0:
print ("moving first point to ", high[0][0])
spline_ob_data = [[[bp.co, bp.handle_left_type, bp.handle_right_type, bp.handle_left, bp.handle_right] for bp in spline_ob.bezier_points], spline_ob.resolution_u, spline_ob.use_cyclic_u]
shape_ob.data.splines.new('BEZIER')
new_spl = shape_ob.data.splines[-1]
new_spl.bezier_points.add(len(spline_ob_data[0])-high[0][1]-1)
print(len(spline_ob_data[0]), high[0][1])
for i, bp in enumerate(new_spl.bezier_points):
bp.co, bp.handle_left_type, bp.handle_right_type, bp.handle_left, bp.handle_right = spline_ob_data[0][i+high[0][1]]
new_spl.resolution_u, new_spl.use_cyclic_u = spline_ob_data[1], spline_ob_data[2]
s1, s2 = chop(high[0][0],
spline_ob.bezier_points[high[0][1]].co,
spline_ob.bezier_points[high[0][1]].handle_right,
spline_ob.bezier_points[high[0][1]+1].handle_left,
spline_ob.bezier_points[high[0][1]+1].co,
spline_ob.resolution_u)
new_spl.bezier_points[0].handle_left_type = 'FREE'
new_spl.bezier_points[0].handle_right_type = 'FREE'
new_spl.bezier_points[1].handle_left_type = 'FREE'
new_spl.bezier_points[1].handle_right_type = 'FREE'
new_spl.bezier_points[0].co = high[0][0].to_3d() # though mathematically correct: s2[0]
new_spl.bezier_points[0].handle_left = s1[2]
new_spl.bezier_points[0].handle_right = s2[1]
new_spl.bezier_points[1].handle_left = s2[2]
shape_ob.data.splines.remove(spline_ob)
# case of middle of the spline selected
elif len(low) > 0 and len(high) > 0:
print ("split spline and move starting and ending point")
spline_ob_data = [[[bp.co, bp.handle_left_type, bp.handle_right_type, bp.handle_left, bp.handle_right] for bp in spline_ob.bezier_points], spline_ob.resolution_u, spline_ob.use_cyclic_u]
shape_ob.data.splines.new('BEZIER')
new_spl = shape_ob.data.splines[-1]
new_spl.bezier_points.add(low[-1][1] + 1)
for i, bp in enumerate(new_spl.bezier_points):
bp.co, bp.handle_left_type, bp.handle_right_type, bp.handle_left, bp.handle_right = spline_ob_data[0][i]
new_spl.resolution_u, new_spl.use_cyclic_u = spline_ob_data[1], spline_ob_data[2]
s1, s2 = chop(low[-1][0],
spline_ob.bezier_points[low[-1][1]].co,
spline_ob.bezier_points[low[-1][1]].handle_right,
spline_ob.bezier_points[low[-1][1]+1].handle_left,
spline_ob.bezier_points[low[-1][1]+1].co,
spline_ob.resolution_u)
new_spl.bezier_points[-1].handle_left_type = 'FREE'
new_spl.bezier_points[-1].handle_right_type = 'FREE'
new_spl.bezier_points[-2].handle_left_type = 'FREE'
new_spl.bezier_points[-2].handle_right_type = 'FREE'
new_spl.bezier_points[-1].co = low[-1][0].to_3d() # though mathematically correct: s1[3]
new_spl.bezier_points[-2].handle_right = s1[1]
new_spl.bezier_points[-1].handle_left = s1[2]
new_spl.bezier_points[-1].handle_right = s2[1]
shape_ob.data.splines.new('BEZIER')
new_spl = shape_ob.data.splines[-1]
new_spl.bezier_points.add(len(spline_ob_data[0])-high[0][1]-1)
for i, bp in enumerate(new_spl.bezier_points):
bp.co, bp.handle_left_type, bp.handle_right_type, bp.handle_left, bp.handle_right = spline_ob_data[0][i+high[0][1]]
new_spl.resolution_u, new_spl.use_cyclic_u = spline_ob_data[1], spline_ob_data[2]
s1, s2 = chop(high[0][0],
spline_ob.bezier_points[high[0][1]].co,
spline_ob.bezier_points[high[0][1]].handle_right,
spline_ob.bezier_points[high[0][1]+1].handle_left,
spline_ob.bezier_points[high[0][1]+1].co,
spline_ob.resolution_u)
new_spl.bezier_points[0].handle_left_type = 'FREE'
new_spl.bezier_points[0].handle_right_type = 'FREE'
new_spl.bezier_points[1].handle_left_type = 'FREE'
new_spl.bezier_points[1].handle_right_type = 'FREE'
new_spl.bezier_points[0].co = high[0][0].to_3d() # though mathematically correct: s2[0]
new_spl.bezier_points[0].handle_left = s1[2]
new_spl.bezier_points[0].handle_right = s2[1]
new_spl.bezier_points[1].handle_left = s2[2]
shape_ob.data.splines.remove(spline_ob)
class TrimTool(bpy.types.Operator):
bl_idname = "curve.trim_tool"
bl_label = "Trim"
bl_options = {'REGISTER', 'UNDO'}
@classmethod
def poll(cls, context):
ob = context.active_object
return ((ob is not None) and
(ob.type == 'CURVE'))
def execute(self, context):
main(context)
return {'FINISHED'}
class TrimToolPanel(bpy.types.Panel):
bl_label = "Trim Tool"
bl_space_type = 'VIEW_3D'
bl_region_type = 'TOOLS'
bl_category = 'Curve CAD Tools'
def draw(self, context):
layout = self.layout
layout.operator("curve.trim_tool", text="Trim")
def register():
bpy.utils.register_class(TrimTool)
bpy.utils.register_class(TrimToolPanel)
def unregister():
bpy.utils.unregister_class(TrimTool)
bpy.utils.unregister_class(TrimToolPanel)
if __name__ == "__main__":
register()