2011-02-26 16:13:14 +00:00
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# ##### BEGIN GPL LICENSE BLOCK #####
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#
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# This program is free software; you can redistribute it and/or
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# modify it under the terms of the GNU General Public License
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# as published by the Free Software Foundation; either version 2
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# of the License, or (at your option) any later version.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program; if not, write to the Free Software Foundation,
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# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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#
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# ##### END GPL LICENSE BLOCK #####
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2011-07-13 07:50:21 +00:00
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# <pep8-80 compliant>
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2011-02-26 16:13:14 +00:00
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2011-05-28 07:47:58 +00:00
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__all__ = (
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2012-06-25 07:24:01 +00:00
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"mesh_linked_uv_islands",
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2012-03-23 01:10:41 +00:00
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"mesh_linked_tessfaces",
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2011-05-28 07:47:58 +00:00
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"edge_face_count_dict",
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"edge_face_count",
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2012-03-23 01:10:41 +00:00
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"edge_loops_from_tessfaces",
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2011-05-28 07:47:58 +00:00
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"edge_loops_from_edges",
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2012-03-21 08:35:50 +00:00
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"ngon_tessellate",
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2011-07-13 07:50:21 +00:00
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"face_random_points",
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2011-07-31 03:15:37 +00:00
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)
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2011-02-26 16:13:14 +00:00
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2011-06-21 17:17:51 +00:00
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2012-06-25 07:24:01 +00:00
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def mesh_linked_uv_islands(mesh):
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"""
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Splits the mesh into connected polygons, use this for seperating cubes from
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other mesh elements within 1 mesh datablock.
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:arg mesh: the mesh used to group with.
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:type mesh: :class:`bpy.types.Mesh`
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:return: lists of lists containing polygon indices
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:rtype: list
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"""
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uv_loops = [luv.uv[:] for luv in mesh.uv_layers.active.data]
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poly_loops = [poly.loop_indices for poly in mesh.polygons]
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luv_hash = {}
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luv_hash_get = luv_hash.get
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luv_hash_ls = [None] * len(uv_loops)
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for pi, poly_indices in enumerate(poly_loops):
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for li in poly_indices:
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uv = uv_loops[li]
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uv_hub = luv_hash_get(uv)
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if uv_hub is None:
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uv_hub = luv_hash[uv] = [pi]
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else:
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uv_hub.append(pi)
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luv_hash_ls[li] = uv_hub
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poly_islands = []
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# 0 = none, 1 = added, 2 = searched
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poly_tag = [0] * len(poly_loops)
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while True:
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poly_index = -1
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for i in range(len(poly_loops)):
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if poly_tag[i] == 0:
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poly_index = i
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break
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if poly_index != -1:
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island = [poly_index]
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poly_tag[poly_index] = 1
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poly_islands.append(island)
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else:
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break # we're done
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added = True
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while added:
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added = False
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for poly_index in island[:]:
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if poly_tag[poly_index] == 1:
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for li in poly_loops[poly_index]:
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for poly_index_shared in luv_hash_ls[li]:
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if poly_tag[poly_index_shared] == 0:
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added = True
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poly_tag[poly_index_shared] = 1
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island.append(poly_index_shared)
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poly_tag[poly_index] = 2
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return poly_islands
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2012-03-23 01:10:41 +00:00
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def mesh_linked_tessfaces(mesh):
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2011-05-28 09:34:45 +00:00
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"""
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Splits the mesh into connected faces, use this for seperating cubes from
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other mesh elements within 1 mesh datablock.
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:arg mesh: the mesh used to group with.
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2011-08-26 18:48:48 +00:00
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:type mesh: :class:`bpy.types.Mesh`
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2011-05-28 09:34:45 +00:00
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:return: lists of lists containing faces.
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:rtype: list
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"""
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2011-02-26 16:13:14 +00:00
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# Build vert face connectivity
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vert_faces = [[] for i in range(len(mesh.vertices))]
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2012-03-23 01:10:41 +00:00
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for f in mesh.tessfaces:
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2011-02-26 16:13:14 +00:00
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for v in f.vertices:
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vert_faces[v].append(f)
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# sort faces into connectivity groups
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2012-03-23 01:10:41 +00:00
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face_groups = [[f] for f in mesh.tessfaces]
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2012-04-08 08:09:37 +00:00
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# map old, new face location
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face_mapping = list(range(len(mesh.tessfaces)))
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2011-02-26 16:13:14 +00:00
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2011-10-17 06:58:07 +00:00
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# Now clump faces iteratively
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2011-02-26 16:13:14 +00:00
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ok = True
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while ok:
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ok = False
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2012-03-23 01:10:41 +00:00
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for i, f in enumerate(mesh.tessfaces):
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2011-02-26 16:13:14 +00:00
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mapped_index = face_mapping[f.index]
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mapped_group = face_groups[mapped_index]
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for v in f.vertices:
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for nxt_f in vert_faces[v]:
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if nxt_f != f:
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nxt_mapped_index = face_mapping[nxt_f.index]
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# We are not a part of the same group
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if mapped_index != nxt_mapped_index:
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ok = True
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2011-07-13 07:50:21 +00:00
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# Assign mapping to this group so they
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# all map to this group
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2011-02-26 16:13:14 +00:00
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for grp_f in face_groups[nxt_mapped_index]:
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face_mapping[grp_f.index] = mapped_index
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# Move faces into this group
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mapped_group.extend(face_groups[nxt_mapped_index])
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# remove reference to the list
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face_groups[nxt_mapped_index] = None
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# return all face groups that are not null
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# this is all the faces that are connected in their own lists.
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return [fg for fg in face_groups if fg]
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2011-05-26 07:16:56 +00:00
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def edge_face_count_dict(mesh):
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2011-05-28 09:34:45 +00:00
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"""
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:return: dict of edge keys with their value set to the number of
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faces using each edge.
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:rtype: dict
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"""
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2013-02-18 15:47:13 +00:00
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2011-05-26 07:16:56 +00:00
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face_edge_count = {}
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2013-02-18 14:52:49 +00:00
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loops = mesh.loops
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edges = mesh.edges
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for poly in mesh.polygons:
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for i in poly.loop_indices:
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key = edges[loops[i].edge_index].key
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2011-05-26 07:16:56 +00:00
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try:
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face_edge_count[key] += 1
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except:
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face_edge_count[key] = 1
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return face_edge_count
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def edge_face_count(mesh):
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2011-05-28 09:34:45 +00:00
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"""
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:return: list face users for each item in mesh.edges.
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:rtype: list
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"""
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2011-07-03 04:28:41 +00:00
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edge_face_count = edge_face_count_dict(mesh)
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2011-05-28 09:34:45 +00:00
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get = dict.get
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2011-07-03 04:28:41 +00:00
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return [get(edge_face_count, ed.key, 0) for ed in mesh.edges]
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2011-05-26 07:16:56 +00:00
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2012-03-23 01:10:41 +00:00
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def edge_loops_from_tessfaces(mesh, tessfaces=None, seams=()):
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2011-05-26 07:16:56 +00:00
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"""
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Edge loops defined by faces
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2012-03-23 01:10:41 +00:00
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Takes me.tessfaces or a list of faces and returns the edge loops
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2011-05-26 07:16:56 +00:00
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These edge loops are the edges that sit between quads, so they dont touch
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2011-05-28 09:34:45 +00:00
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1 quad, note: not connected will make 2 edge loops,
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both only containing 2 edges.
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2011-05-26 07:16:56 +00:00
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return a list of edge key lists
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2011-05-28 09:34:45 +00:00
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[[(0, 1), (4, 8), (3, 8)], ...]
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:arg mesh: the mesh used to get edge loops from.
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2011-08-26 18:48:48 +00:00
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:type mesh: :class:`bpy.types.Mesh`
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2012-03-23 01:10:41 +00:00
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:arg tessfaces: optional face list to only use some of the meshes faces.
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:type tessfaces: :class:`bpy.types.MeshTessFace`, sequence or or NoneType
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2011-05-28 09:34:45 +00:00
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:return: return a list of edge vertex index lists.
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:rtype: list
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2011-05-26 07:16:56 +00:00
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"""
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OTHER_INDEX = 2, 3, 0, 1 # opposite face index
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2012-03-23 01:10:41 +00:00
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if tessfaces is None:
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tessfaces = mesh.tessfaces
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2011-05-26 07:16:56 +00:00
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edges = {}
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2012-03-23 01:10:41 +00:00
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for f in tessfaces:
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2012-02-20 22:58:00 +00:00
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if len(f.vertices) == 4:
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2011-05-26 07:16:56 +00:00
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edge_keys = f.edge_keys
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for i, edkey in enumerate(f.edge_keys):
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edges.setdefault(edkey, []).append(edge_keys[OTHER_INDEX[i]])
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for edkey in seams:
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edges[edkey] = []
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# Collect edge loops here
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edge_loops = []
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for edkey, ed_adj in edges.items():
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if 0 < len(ed_adj) < 3: # 1 or 2
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# Seek the first edge
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context_loop = [edkey, ed_adj[0]]
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edge_loops.append(context_loop)
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if len(ed_adj) == 2:
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other_dir = ed_adj[1]
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else:
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other_dir = None
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2012-11-14 09:45:15 +00:00
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del ed_adj[:]
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2011-05-26 07:16:56 +00:00
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flipped = False
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while 1:
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2012-02-08 04:37:37 +00:00
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# from knowing the last 2, look for the next.
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2011-05-26 07:16:56 +00:00
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ed_adj = edges[context_loop[-1]]
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if len(ed_adj) != 2:
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2011-07-29 01:24:03 +00:00
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# the original edge had 2 other edges
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2012-10-08 08:28:05 +00:00
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if other_dir and flipped is False:
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2011-05-26 07:16:56 +00:00
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flipped = True # only flip the list once
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context_loop.reverse()
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2012-11-14 09:45:15 +00:00
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del ed_adj[:]
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2012-02-08 04:37:37 +00:00
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context_loop.append(other_dir) # save 1 look-up
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2011-05-26 07:16:56 +00:00
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ed_adj = edges[context_loop[-1]]
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if len(ed_adj) != 2:
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2012-11-14 09:45:15 +00:00
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del ed_adj[:]
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2011-05-26 07:16:56 +00:00
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break
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else:
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2012-11-14 09:45:15 +00:00
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del ed_adj[:]
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2011-05-26 07:16:56 +00:00
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break
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i = ed_adj.index(context_loop[-2])
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2013-01-15 23:15:32 +00:00
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context_loop.append(ed_adj[not i])
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2011-05-26 07:16:56 +00:00
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# Dont look at this again
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2012-11-14 09:45:15 +00:00
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del ed_adj[:]
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2011-05-26 07:16:56 +00:00
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return edge_loops
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2011-05-26 09:33:51 +00:00
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2011-05-26 07:16:56 +00:00
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def edge_loops_from_edges(mesh, edges=None):
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"""
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Edge loops defined by edges
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Takes me.edges or a list of edges and returns the edge loops
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return a list of vertex indices.
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[ [1, 6, 7, 2], ...]
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closed loops have matching start and end values.
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"""
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line_polys = []
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# Get edges not used by a face
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if edges is None:
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edges = mesh.edges
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if not hasattr(edges, "pop"):
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edges = edges[:]
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while edges:
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current_edge = edges.pop()
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vert_end, vert_start = current_edge.vertices[:]
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line_poly = [vert_start, vert_end]
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ok = True
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while ok:
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ok = False
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#for i, ed in enumerate(edges):
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i = len(edges)
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while i:
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i -= 1
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ed = edges[i]
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v1, v2 = ed.vertices
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if v1 == vert_end:
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line_poly.append(v2)
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vert_end = line_poly[-1]
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ok = 1
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del edges[i]
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# break
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elif v2 == vert_end:
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line_poly.append(v1)
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vert_end = line_poly[-1]
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ok = 1
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del edges[i]
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#break
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elif v1 == vert_start:
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line_poly.insert(0, v2)
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vert_start = line_poly[0]
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ok = 1
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del edges[i]
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# break
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elif v2 == vert_start:
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line_poly.insert(0, v1)
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vert_start = line_poly[0]
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ok = 1
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del edges[i]
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#break
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line_polys.append(line_poly)
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return line_polys
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2012-03-21 08:35:50 +00:00
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def ngon_tessellate(from_data, indices, fix_loops=True):
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2012-07-03 09:02:41 +00:00
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"""
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2011-07-29 01:24:03 +00:00
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Takes a polyline of indices (fgon) and returns a list of face
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indicie lists. Designed to be used for importers that need indices for an
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fgon to create from existing verts.
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2011-05-26 07:16:56 +00:00
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from_data: either a mesh, or a list/tuple of vectors.
|
2013-04-07 01:38:03 +00:00
|
|
|
:arg indices: a list of indices to use this list
|
|
|
|
is the ordered closed polyline
|
2011-07-29 01:24:03 +00:00
|
|
|
to fill, and can be a subset of the data given.
|
2012-11-28 01:14:11 +00:00
|
|
|
:type indices: list
|
2013-04-07 01:38:03 +00:00
|
|
|
:arg fix_loops: If this is enabled polylines
|
|
|
|
that use loops to make multiple
|
2011-07-29 01:24:03 +00:00
|
|
|
polylines are delt with correctly.
|
2012-11-28 01:14:11 +00:00
|
|
|
:type fix_loops: bool
|
2012-07-03 09:02:41 +00:00
|
|
|
"""
|
2011-05-26 09:33:51 +00:00
|
|
|
|
2012-03-21 08:35:50 +00:00
|
|
|
from mathutils.geometry import tessellate_polygon
|
2011-05-26 07:16:56 +00:00
|
|
|
from mathutils import Vector
|
|
|
|
vector_to_tuple = Vector.to_tuple
|
|
|
|
|
|
|
|
if not indices:
|
|
|
|
return []
|
|
|
|
|
|
|
|
def mlen(co):
|
2011-07-29 01:24:03 +00:00
|
|
|
# manhatten length of a vector, faster then length
|
|
|
|
return abs(co[0]) + abs(co[1]) + abs(co[2])
|
2011-05-26 07:16:56 +00:00
|
|
|
|
|
|
|
def vert_treplet(v, i):
|
|
|
|
return v, vector_to_tuple(v, 6), i, mlen(v)
|
|
|
|
|
|
|
|
def ed_key_mlen(v1, v2):
|
|
|
|
if v1[3] > v2[3]:
|
|
|
|
return v2[1], v1[1]
|
|
|
|
else:
|
|
|
|
return v1[1], v2[1]
|
|
|
|
|
2011-06-30 16:06:30 +00:00
|
|
|
if not fix_loops:
|
2012-07-03 09:02:41 +00:00
|
|
|
"""
|
2011-05-26 07:16:56 +00:00
|
|
|
Normal single concave loop filling
|
2012-07-03 09:02:41 +00:00
|
|
|
"""
|
2011-08-08 05:21:37 +00:00
|
|
|
if type(from_data) in {tuple, list}:
|
2011-05-26 07:16:56 +00:00
|
|
|
verts = [Vector(from_data[i]) for ii, i in enumerate(indices)]
|
|
|
|
else:
|
|
|
|
verts = [from_data.vertices[i].co for ii, i in enumerate(indices)]
|
|
|
|
|
2011-07-29 01:24:03 +00:00
|
|
|
# same as reversed(range(1, len(verts))):
|
|
|
|
for i in range(len(verts) - 1, 0, -1):
|
2011-05-26 07:16:56 +00:00
|
|
|
if verts[i][1] == verts[i - 1][0]:
|
|
|
|
verts.pop(i - 1)
|
|
|
|
|
2012-03-21 08:35:50 +00:00
|
|
|
fill = tessellate_polygon([verts])
|
2011-05-26 07:16:56 +00:00
|
|
|
|
|
|
|
else:
|
2012-07-03 09:02:41 +00:00
|
|
|
"""
|
2011-07-29 01:24:03 +00:00
|
|
|
Seperate this loop into multiple loops be finding edges that are
|
|
|
|
used twice. This is used by lightwave LWO files a lot
|
2012-07-03 09:02:41 +00:00
|
|
|
"""
|
2011-05-26 07:16:56 +00:00
|
|
|
|
2011-08-08 05:21:37 +00:00
|
|
|
if type(from_data) in {tuple, list}:
|
2011-07-29 01:24:03 +00:00
|
|
|
verts = [vert_treplet(Vector(from_data[i]), ii)
|
|
|
|
for ii, i in enumerate(indices)]
|
2011-05-26 07:16:56 +00:00
|
|
|
else:
|
2011-07-29 01:24:03 +00:00
|
|
|
verts = [vert_treplet(from_data.vertices[i].co, ii)
|
|
|
|
for ii, i in enumerate(indices)]
|
2011-05-26 07:16:56 +00:00
|
|
|
|
|
|
|
edges = [(i, i - 1) for i in range(len(verts))]
|
|
|
|
if edges:
|
|
|
|
edges[0] = (0, len(verts) - 1)
|
|
|
|
|
|
|
|
if not verts:
|
|
|
|
return []
|
|
|
|
|
|
|
|
edges_used = set()
|
|
|
|
edges_doubles = set()
|
|
|
|
# We need to check if any edges are used twice location based.
|
|
|
|
for ed in edges:
|
|
|
|
edkey = ed_key_mlen(verts[ed[0]], verts[ed[1]])
|
|
|
|
if edkey in edges_used:
|
|
|
|
edges_doubles.add(edkey)
|
|
|
|
else:
|
|
|
|
edges_used.add(edkey)
|
|
|
|
|
|
|
|
# Store a list of unconnected loop segments split by double edges.
|
|
|
|
# will join later
|
|
|
|
loop_segments = []
|
|
|
|
|
|
|
|
v_prev = verts[0]
|
|
|
|
context_loop = [v_prev]
|
|
|
|
loop_segments = [context_loop]
|
|
|
|
|
|
|
|
for v in verts:
|
|
|
|
if v != v_prev:
|
|
|
|
# Are we crossing an edge we removed?
|
|
|
|
if ed_key_mlen(v, v_prev) in edges_doubles:
|
|
|
|
context_loop = [v]
|
|
|
|
loop_segments.append(context_loop)
|
|
|
|
else:
|
|
|
|
if context_loop and context_loop[-1][1] == v[1]:
|
|
|
|
#raise "as"
|
|
|
|
pass
|
|
|
|
else:
|
|
|
|
context_loop.append(v)
|
|
|
|
|
|
|
|
v_prev = v
|
|
|
|
# Now join loop segments
|
|
|
|
|
|
|
|
def join_seg(s1, s2):
|
|
|
|
if s2[-1][1] == s1[0][1]:
|
|
|
|
s1, s2 = s2, s1
|
|
|
|
elif s1[-1][1] == s2[0][1]:
|
|
|
|
pass
|
|
|
|
else:
|
|
|
|
return False
|
|
|
|
|
|
|
|
# If were stuill here s1 and s2 are 2 segments in the same polyline
|
|
|
|
s1.pop() # remove the last vert from s1
|
|
|
|
s1.extend(s2) # add segment 2 to segment 1
|
|
|
|
|
|
|
|
if s1[0][1] == s1[-1][1]: # remove endpoints double
|
|
|
|
s1.pop()
|
|
|
|
|
2012-11-14 09:45:15 +00:00
|
|
|
del s2[:] # Empty this segment s2 so we don't use it again.
|
2011-05-26 07:16:56 +00:00
|
|
|
return True
|
|
|
|
|
|
|
|
joining_segments = True
|
|
|
|
while joining_segments:
|
|
|
|
joining_segments = False
|
|
|
|
segcount = len(loop_segments)
|
|
|
|
|
|
|
|
for j in range(segcount - 1, -1, -1): # reversed(range(segcount)):
|
|
|
|
seg_j = loop_segments[j]
|
|
|
|
if seg_j:
|
|
|
|
for k in range(j - 1, -1, -1): # reversed(range(j)):
|
|
|
|
if not seg_j:
|
|
|
|
break
|
|
|
|
seg_k = loop_segments[k]
|
|
|
|
|
|
|
|
if seg_k and join_seg(seg_j, seg_k):
|
|
|
|
joining_segments = True
|
|
|
|
|
|
|
|
loop_list = loop_segments
|
|
|
|
|
|
|
|
for verts in loop_list:
|
|
|
|
while verts and verts[0][1] == verts[-1][1]:
|
|
|
|
verts.pop()
|
|
|
|
|
|
|
|
loop_list = [verts for verts in loop_list if len(verts) > 2]
|
|
|
|
# DONE DEALING WITH LOOP FIXING
|
|
|
|
|
|
|
|
# vert mapping
|
|
|
|
vert_map = [None] * len(indices)
|
|
|
|
ii = 0
|
|
|
|
for verts in loop_list:
|
|
|
|
if len(verts) > 2:
|
|
|
|
for i, vert in enumerate(verts):
|
|
|
|
vert_map[i + ii] = vert[2]
|
|
|
|
ii += len(verts)
|
|
|
|
|
2012-03-21 08:35:50 +00:00
|
|
|
fill = tessellate_polygon([[v[0] for v in loop] for loop in loop_list])
|
2011-05-26 07:16:56 +00:00
|
|
|
#draw_loops(loop_list)
|
2012-06-19 22:17:19 +00:00
|
|
|
#raise Exception("done loop")
|
2011-05-26 07:16:56 +00:00
|
|
|
# map to original indices
|
|
|
|
fill = [[vert_map[i] for i in reversed(f)] for f in fill]
|
|
|
|
|
|
|
|
if not fill:
|
|
|
|
print('Warning Cannot scanfill, fallback on a triangle fan.')
|
|
|
|
fill = [[0, i - 1, i] for i in range(2, len(indices))]
|
|
|
|
else:
|
|
|
|
# Use real scanfill.
|
|
|
|
# See if its flipped the wrong way.
|
|
|
|
flip = None
|
|
|
|
for fi in fill:
|
2011-08-22 09:01:49 +00:00
|
|
|
if flip is not None:
|
2011-05-26 07:16:56 +00:00
|
|
|
break
|
|
|
|
for i, vi in enumerate(fi):
|
|
|
|
if vi == 0 and fi[i - 1] == 1:
|
|
|
|
flip = False
|
|
|
|
break
|
|
|
|
elif vi == 1 and fi[i - 1] == 0:
|
|
|
|
flip = True
|
|
|
|
break
|
|
|
|
|
|
|
|
if not flip:
|
|
|
|
for i, fi in enumerate(fill):
|
|
|
|
fill[i] = tuple([ii for ii in reversed(fi)])
|
|
|
|
|
|
|
|
return fill
|
2011-07-13 07:50:21 +00:00
|
|
|
|
|
|
|
|
2012-03-23 01:10:41 +00:00
|
|
|
def face_random_points(num_points, tessfaces):
|
2011-07-13 07:50:21 +00:00
|
|
|
"""
|
2012-03-23 01:10:41 +00:00
|
|
|
Generates a list of random points over mesh tessfaces.
|
2011-07-13 07:50:21 +00:00
|
|
|
|
|
|
|
:arg num_points: the number of random points to generate on each face.
|
|
|
|
:type int:
|
2012-03-23 01:10:41 +00:00
|
|
|
:arg tessfaces: list of the faces to generate points on.
|
|
|
|
:type tessfaces: :class:`bpy.types.MeshTessFace`, sequence
|
2011-07-13 07:50:21 +00:00
|
|
|
:return: list of random points over all faces.
|
|
|
|
:rtype: list
|
|
|
|
"""
|
|
|
|
|
|
|
|
from random import random
|
|
|
|
from mathutils.geometry import area_tri
|
|
|
|
|
|
|
|
# Split all quads into 2 tris, tris remain unchanged
|
|
|
|
tri_faces = []
|
2012-03-23 01:10:41 +00:00
|
|
|
for f in tessfaces:
|
2011-07-13 07:50:21 +00:00
|
|
|
tris = []
|
|
|
|
verts = f.id_data.vertices
|
|
|
|
fv = f.vertices[:]
|
|
|
|
tris.append((verts[fv[0]].co,
|
|
|
|
verts[fv[1]].co,
|
|
|
|
verts[fv[2]].co,
|
2013-01-15 23:15:32 +00:00
|
|
|
))
|
2011-07-13 07:50:21 +00:00
|
|
|
if len(fv) == 4:
|
|
|
|
tris.append((verts[fv[0]].co,
|
|
|
|
verts[fv[3]].co,
|
|
|
|
verts[fv[2]].co,
|
2013-01-15 23:15:32 +00:00
|
|
|
))
|
2011-07-13 07:50:21 +00:00
|
|
|
tri_faces.append(tris)
|
|
|
|
|
|
|
|
# For each face, generate the required number of random points
|
2012-03-23 01:10:41 +00:00
|
|
|
sampled_points = [None] * (num_points * len(tessfaces))
|
2011-07-13 07:50:21 +00:00
|
|
|
for i, tf in enumerate(tri_faces):
|
|
|
|
for k in range(num_points):
|
|
|
|
# If this is a quad, we need to weight its 2 tris by their area
|
|
|
|
if len(tf) != 1:
|
|
|
|
area1 = area_tri(*tf[0])
|
|
|
|
area2 = area_tri(*tf[1])
|
|
|
|
area_tot = area1 + area2
|
|
|
|
|
|
|
|
area1 = area1 / area_tot
|
|
|
|
area2 = area2 / area_tot
|
|
|
|
|
|
|
|
vecs = tf[0 if (random() < area1) else 1]
|
|
|
|
else:
|
|
|
|
vecs = tf[0]
|
|
|
|
|
|
|
|
u1 = random()
|
|
|
|
u2 = random()
|
|
|
|
u_tot = u1 + u2
|
|
|
|
|
|
|
|
if u_tot > 1:
|
|
|
|
u1 = 1.0 - u1
|
|
|
|
u2 = 1.0 - u2
|
|
|
|
|
|
|
|
side1 = vecs[1] - vecs[0]
|
|
|
|
side2 = vecs[2] - vecs[0]
|
|
|
|
|
|
|
|
p = vecs[0] + u1 * side1 + u2 * side2
|
|
|
|
|
|
|
|
sampled_points[num_points * i + k] = p
|
|
|
|
|
|
|
|
return sampled_points
|