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catmull_clark.py
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catmull_clark.py
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# CENG 487 Assignment4 by
# Mustafa Berkay Özkan
# StudentId: 230201005
# 12 2019
from mesh import Mesh
from winged_edge import WingedMesh
from vec3d import Vec3d
def get_face_points(mesh:WingedMesh):
face_points = []
for face in mesh.faces:
face_points.append(face.face_point)
return face_points
def get_edge_points(mesh: WingedMesh):
edge_points = []
for edge in mesh.edges:
cp1 = edge.vertex.position
cp2 = edge.next.vertex.position
fp1 = edge.face.face_point
if edge.sym is None:
fp2 = fp1
else:
fp2 = edge.sym.face.face_point
edge_point = (cp1 + cp2 + fp1 + fp2) / 4.0
edge_points.append(edge_point)
return edge_points
def create_face_points(mesh:WingedMesh):
face_points = []
for face in mesh.faces:
face_points.append(face.face_point)
return face_points
def create_edge_points(mesh: WingedMesh):
edges = list(mesh.edges).copy()
for edge in edges:
cp1 = edge.vertex.position
cp2 = edge.next.vertex.position
fp1 = edge.face.face_point
if edge.sym is None:
fp2 = fp1
else:
fp2 = edge.sym.face.face_point
edge_point = (cp1 + cp2 + fp1 + fp2)/4.0
mesh.split_edge(edge, edge_point)
# edge_points.append(sum((cp1,cp2,fp1,fp2))/4.0)
def get_avg_face_points(mesh: WingedMesh):
avg_face_points = []
total = Vec3d.zero()
count = 0
for vertex in mesh.vertices:
for face in vertex.adjacent_faces:
total += face.face_point
count += 1
avg_face_points.append(total/count)
return avg_face_points
def get_avg_mid_edges(mesh: WingedMesh):
avg_mid_edges = []
total = Vec3d.zero()
count = 0
for vertex in mesh.vertices:
for edge in vertex.edges:
cp1 = edge.vertex.position
cp2 = edge.next.vertex.position
total += (cp1 + cp2) / 2.0
count += 1
avg_mid_edges .append(total/count)
return avg_mid_edges
def create_new_points(mesh: WingedMesh):
new_vertex_positions = []
for vertex in mesh.vertices:
total = Vec3d.zero()
count = 0
for face in vertex.adjacent_faces:
total += face.face_point
count += 1
avg_face_points = total / count
total = Vec3d.zero()
count = 0
for edge in vertex.edges:
cp1 = edge.vertex.position
cp2 = edge.next.vertex.position
total += (cp1 + cp2) / 2.0
count += 1
avg_mid_edges = total / count
n = len(list(vertex.adjacent_faces))
m1 = (n - 3) * vertex.position
m2 = 2 * avg_mid_edges
new_vertex_positions.append((avg_face_points + m2 + m1) / n)
for i, vertex in enumerate(mesh.vertices):
vertex.position = new_vertex_positions[i]
def catmull_clark(mesh):
create_new_points(mesh)
create_edge_points(mesh)
# for face in mesh.faces:
# mesh.triangulate_face(face)
def get_new_points(mesh: WingedMesh):
new_points = []
avg_face_points = get_avg_face_points(mesh)
avg_mid_edges = get_avg_mid_edges(mesh)
for vertex_index, vertex in enumerate(mesh.vertices):
n = 0 # Number of face points
for face in vertex.adjacent_faces:
n += 1
m1 = (n - 3) / n
m2 = 1 / n
m3 = 2 / n
old_vertex = vertex
p1 = old_vertex.position * m1
afp = avg_face_points[vertex_index]
p2 = afp * m2
ame = avg_mid_edges[vertex_index]
p3 = ame * m3
new_coords = p1 + p2 + p3
new_points.append(new_coords)
return new_points
# add face points to new_points
def cmc_subdiv(mesh):
new_points = get_new_points(mesh)
face_points = get_face_points(mesh)
edge_points = get_edge_points(mesh)
# edges_faces = get_edges_faces(mesh)
face_point_nums = []
# point num after next append to new_points
next_pointnum = len(new_points)
for face_point in face_points:
new_points.append(face_point)
face_point_nums.append(next_pointnum)
next_pointnum += 1
# add edge points to new_points
edge_point_nums = dict()
for edgenum, edge in enumerate(mesh.edges):
pointnum_1 = edge.edge.a
pointnum_2 = edge.edge.b
edge_point = edge_points[edgenum]
new_points.append(edge_point)
edge_point_nums[(pointnum_1, pointnum_2)] = next_pointnum
next_pointnum += 1
new_faces = []
for oldfacenum in range(len(mesh.faces)):
oldface = list(set(mesh.faces[oldfacenum].face.indexes))
# mesh.faces.
# 4 point face
# vertices = oldface.vertices
a = oldface[0]
b = oldface[1]
c = oldface[2]
d = oldface[3]
face_point_abcd = face_point_nums[oldfacenum]
edge_point_ab = edge_point_nums[switch_nums((a, b))]
edge_point_da = edge_point_nums[switch_nums((d, a))]
edge_point_bc = edge_point_nums[switch_nums((b, c))]
edge_point_cd = edge_point_nums[switch_nums((c, d))]
new_faces.append((a, edge_point_ab, face_point_abcd, edge_point_da))
new_faces.append((b, edge_point_bc, face_point_abcd, edge_point_ab))
new_faces.append((c, edge_point_cd, face_point_abcd, edge_point_bc))
new_faces.append((d, edge_point_da, face_point_abcd, edge_point_cd))
return new_points, new_faces
def switch_nums(point_nums):
"""
Returns tuple of point numbers
sorted least to most
"""
if point_nums[0] < point_nums[1]:
return point_nums
else:
return (point_nums[1], point_nums[0])