286 lines
9.0 KiB
Python
286 lines
9.0 KiB
Python
from surf.geometry import Vertex, Edge, PolygonMesh
|
|
|
|
|
|
def sub_edges(self):
|
|
temp_p = PolygonMesh()
|
|
temp_p.edges = [Edge(), Edge()]
|
|
# temp_p.vertices =
|
|
sub_edges[0].vertices = [self.vertices[0], self.edge_vertex]
|
|
sub_edges[1].vertices = [self.edge_vertex, self.vertices[1]]
|
|
return self.__sub_edges
|
|
|
|
|
|
def centroid(face, poly):
|
|
'''
|
|
'''
|
|
|
|
# gather all face vertex coords
|
|
face_vertices = face.vertices
|
|
|
|
xs = [vertex.x for vertex in face_vertices]
|
|
ys = [vertex.y for vertex in face_vertices]
|
|
zs = [vertex.z for vertex in face_vertices]
|
|
|
|
# average each vertex component
|
|
x = sum(xs) / len(xs)
|
|
y = sum(ys) / len(ys)
|
|
z = sum(zs) / len(zs)
|
|
|
|
return Vertex(poly, x, y, z)
|
|
|
|
|
|
def edge_divide(edge, poly):
|
|
'''
|
|
Set each edge vertices to be the average of the two neighboring
|
|
face vertices and its two original end vertices.
|
|
'''
|
|
edge_ids = poly.edge_ids_with_parent(edge.id)
|
|
|
|
if edge_ids:
|
|
return edge_ids
|
|
else:
|
|
# otherwise split it
|
|
xs = []
|
|
ys = []
|
|
zs = []
|
|
for face in edge.faces:
|
|
centroid_v = centroid(face, None)
|
|
xs.append(centroid_v.x)
|
|
ys.append(centroid_v.y)
|
|
zs.append(centroid_v.z)
|
|
|
|
for vertex in edge.vertices:
|
|
xs.append(vertex.x)
|
|
ys.append(vertex.y)
|
|
zs.append(vertex.z)
|
|
|
|
x = sum(xs) / len(xs)
|
|
y = sum(ys) / len(ys)
|
|
z = sum(zs) / len(zs)
|
|
|
|
e0 = Edge(poly)
|
|
e1 = Edge(poly)
|
|
edge_vertex = Vertex(poly, x, y, z)
|
|
|
|
edge_vertex.edge_ids = [e0.id, e1.id]
|
|
|
|
e0.vertex_ids = [edge.vertices[0].id, edge_vertex.id]
|
|
e1.vertex_ids = [edge_vertex.id, edge.vertices[1].id]
|
|
|
|
e0.edge_ids = edge.winged_edges_at_vertex(0)
|
|
e0.edge_ids.append(e1.id)
|
|
|
|
e1.edge_ids = edge.winged_edges_at_vertex(1)
|
|
e1.edge_ids.append(e0.id)
|
|
|
|
e0.parent_id = edge.id
|
|
e1.parent_id = edge.id
|
|
|
|
# add all these to the new polygon
|
|
poly.edge_ids.append(e0.id)
|
|
poly.edge_ids.append(e1.id)
|
|
poly.vertices.append(edge_vertex.id)
|
|
|
|
return e0.id, e1.id, edge_vertex.id
|
|
|
|
|
|
def sub_faces(self):
|
|
setup_sub_divisions()
|
|
return sub_faces()
|
|
|
|
|
|
def interior_edges(self):
|
|
setup_sub_divisions()
|
|
return self.__interior_edges
|
|
|
|
|
|
def setup_sub_divisions(polygon, face):
|
|
'''
|
|
v0 ev0 v1
|
|
*------e0-----*
|
|
| | |
|
|
| | |
|
|
ev3 e|11----f5----e|1 ev1
|
|
| | |
|
|
| | |
|
|
*------e2-----*
|
|
v3 ev2 v2
|
|
'''
|
|
|
|
# create empty sub_faces that will be filled with edge references
|
|
# below
|
|
# these need to at least exist so the interior edges have
|
|
# something to reference
|
|
|
|
# sub_faces = [Face(polygon) for edge in face.edge_ids]
|
|
|
|
# set up empty edge objects to be filled below
|
|
# interior_edges = [Edge(polygon) for edge in face.edge_ids]
|
|
|
|
# # each interior edge connects the exterior edge vertex (mid-point)
|
|
# # to the faceVertex (centroid)
|
|
# for edge_id in range(len(face.edges)):
|
|
# prevIndex = (edge_id - 1) % len(face.edges)
|
|
# nextIndex = (edge_id + 1) % len(face.edges)
|
|
|
|
# # end vertices are face centroid and currEdge edge_vertex
|
|
# interior_edges[edge_id].vertices = [
|
|
# face.edges[edge_id],
|
|
# edge_vertex, self.centroid
|
|
# ]
|
|
|
|
# # wing edges are the current edge's sub_edges (ordered same as
|
|
# # vertex order) and the prev and next interior edges
|
|
# self.__interior_edges[index].edges = [
|
|
# self.edges[index].sub_edges[0],
|
|
# self.edges[index].sub_edges[1],
|
|
# self.__interior_edges[prevIndex],
|
|
# self.__interior_edges[nextIndex]
|
|
# ]
|
|
|
|
# # edge faces are the new sub_faces (current and next faces), the
|
|
# # current will be define below
|
|
# # and the next will be defined on the next iteration (or
|
|
# # already defined on the last iteration)
|
|
# self.__interior_edges[index].faces = [
|
|
# self.__sub_faces[index],
|
|
# self.__sub_faces[nextIndex]
|
|
# ]
|
|
|
|
# # now reference the current edge back into the faces,
|
|
# # and the edge.sub_edges, and the edge.edge_vertex
|
|
|
|
# # current subFace (same index as current interior edge)
|
|
# # set its edges to reference the same edges used to setup the
|
|
# # interior edge
|
|
# # order will be pretty important on these steps...
|
|
# self.__sub_faces[index].edges = [
|
|
# self.edges[index].sub_edges[0],
|
|
# self.__interior_edges[index],
|
|
# self.__interior_edges[prevIndex],
|
|
# self.edges[prevIndex].sub_edges[1]
|
|
# ]
|
|
|
|
# # just set one of the vertex edges, the other belongs to
|
|
# # another face and will get added when that face is run
|
|
# self.edges[index].edge_vertex.edges.append(
|
|
# self.__interior_edges[index])
|
|
|
|
# self.edges[index].sub_edges[0].faces.append(
|
|
# self.__sub_faces[index])
|
|
# self.edges[index].sub_edges[0].faces.append(
|
|
# self.__sub_faces[index])
|
|
pass
|
|
|
|
|
|
def subdivide_face(poly, face):
|
|
# '''
|
|
# '''
|
|
|
|
# # find face centroid
|
|
# fc = face.centroid
|
|
|
|
# # find edge vertices
|
|
# for edge in face.edges:
|
|
# x, y, z = edge_mid_vertex(edge)
|
|
pass
|
|
|
|
|
|
def refine(poly):
|
|
'''
|
|
For each face, add a face vertex
|
|
Set each face vertex to be the centroid of all original vertices for
|
|
the respective face.
|
|
For each edge, add an edge vertex.
|
|
Set each edge vertex to be the average of the two neighbouring face
|
|
vertices and its two original endvertices.
|
|
For each face vertex, add an edge for every edge of the face, connecting
|
|
the face vertex to each edge vertex for the face.
|
|
For each original vertex P, take the average F of all n face vertices for
|
|
faces touching P, and take the average R of all n edge midvertices for
|
|
edges touching P, where each edge midvertex is the average of its two
|
|
endvertex vertices. Move each original vertex to the vertex
|
|
'''
|
|
|
|
# create a new storage container for the items
|
|
new_poly = PolygonMesh()
|
|
|
|
# for now just test with the first face
|
|
start_face = poly.faces[0]
|
|
|
|
# go through the face vertices and add them to the new polygon
|
|
for vertex in start_face.vertices:
|
|
# truly, this needs to be a 'copy' of the vertex, I'll fix that later
|
|
new_poly.vertices.append(vertex)
|
|
|
|
# find the face centroid
|
|
# and add the face centroid to the new polygon
|
|
start_centroid = centroid(start_face, new_poly)
|
|
new_poly.vertices.append(start_centroid)
|
|
|
|
# for each edge on the face,
|
|
for edge in start_face.edges:
|
|
# divide that edge into two new edges with an edge vertex
|
|
# set their parent object as the original edge
|
|
new_e0_id, new_e1_id, edge_v_id = edge_divide(edge, new_poly)
|
|
|
|
# create a new edge connecting the centroid to the edge_vertex
|
|
centroid_to_edge = Edge(new_poly)
|
|
new_poly.edges.append(centroid_to_edge)
|
|
|
|
# set the new edge's vertex references
|
|
centroid_to_edge.vertex_ids = [edge_v_id, start_centroid.id]
|
|
|
|
# set the new edge's winged_edge references
|
|
# centroid_to_edge.edge_ids = poly.edges ==> get edge by id not yet implemented... edge_v_id.edges
|
|
|
|
# set the edge vertex edge references
|
|
edge_v_id.edges.append(centroid_to_edge.id)
|
|
|
|
# set the centroid's edge reference
|
|
start_centroid.edge_ids.append(centroid_to_edge.id)
|
|
|
|
# now walk through the edges connected to the centroid
|
|
start_centroid.edges[0]
|
|
# need to get an adjacent edge, based on the the shared vertex of the
|
|
# original polygon... centroid to edge_vertex to shared point...
|
|
|
|
# start_face.neighbors
|
|
|
|
# f = sum(list(
|
|
# set(face_vertices)), Vertex()) / len(list(set(face_vertices)))
|
|
# r = sum(list(
|
|
# set(edge_mid_points)), Vertex()) / len(list(set(edge_mid_points)))
|
|
# p = vertex
|
|
# n = len(vertex.edges)
|
|
# v = (f + 2.0 * r + (n - 3.0) * p) / n
|
|
# newVertices.append(v)
|
|
|
|
# for vertex, newVertex in zip(poly.vertices, newVertices):
|
|
# vertex.x = newVertex.x
|
|
# vertex.y = newVertex.y
|
|
# vertex.z = newVertex.z
|
|
# # so now what.........
|
|
# # (F + 2R + (n-3) P) / n
|
|
# #
|
|
# # F = average of all face vertices touching P
|
|
# # R = average of all edge vertices touching P
|
|
# # P original point
|
|
# # n = number of edges connecting to P
|
|
|
|
# p.faces = faces
|
|
# p.vertices = vertices
|
|
# p.edges = edges
|
|
|
|
# # plotting these in excel seems to show the correct values (at first
|
|
# # glace...)
|
|
|
|
# # so now what.........
|
|
# # (F + 2R + (n-3) P) / n
|
|
# #
|
|
# # F = average of all face vertices touching P
|
|
# # R = average of all edge vertices touching P
|
|
# # P original point
|
|
# # n = face vertices or edge vertices (should be the same number)
|
|
# return PolygonMesh(vertices, edges, faces)
|