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from surf.geometry import Vertex, Polygon
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def mid_point(self):
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vertex_objs = [self.polygon.vertices[v_id] for v_id in self.vertices]
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return sum(vertex_objs, Vertex()) / len(self.vertices)
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def sub_edges(self):
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temp_p = Polygon()
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temp_p.edges = [Edge(), Edge()]
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temp_p.vertices =
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sub_edges[0].vertices = [self.vertices[0], self.edge_vertex]
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sub_edges[1].vertices = [self.edge_vertex, self.vertices[1]]
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return self.__sub_edges
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def edge_vertex(self):
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'''
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Set each edge vertices to be the average of the two neighboring
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face vertices and its two original end vertices.
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'''
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# two neighboring face vertices:
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neighboringFaceVertices = [p.faces[f_id].centroid for f_id in self.faces]
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neighboringFaceVertices.extend(self.vertices)
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xs = [vertex.x for vertex in neighboringFaceVertices]
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ys = [vertex.y for vertex in neighboringFaceVertices]
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zs = [vertex.z for vertex in neighboringFaceVertices]
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x = sum(xs) / len(xs)
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y = sum(ys) / len(ys)
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z = sum(zs) / len(zs)
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self.__edge_vertex = Vertex(x, y, z)
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self.__edge_vertex.edges.extend(self.__sub_edges)
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return self.__edge_vertex
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def centroid(self):
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if not self.__centroid:
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# gather all face vertex coords
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face_vertices = list(set([vertex
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for edge in self.edges for vertex in edge.vertices]))
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xs = [vertex.x for vertex in face_vertices]
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ys = [vertex.y for vertex in face_vertices]
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zs = [vertex.z for vertex in face_vertices]
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# average each vertex component
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x = sum(xs) / len(xs)
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y = sum(ys) / len(ys)
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z = sum(zs) / len(zs)
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self.__centroid = Vertex(x, y, z)
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return self.__centroid
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def sub_faces(self):
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self.__setupSubDivisions()
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return self.__sub_faces
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def interior_edges(self):
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self.__setupSubDivisions()
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return self.__interior_edges
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def __setupSubDivisions(self):
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'''
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v0 ev0 v1
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*------e0-----*
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ev3 e|11----f5----e|1 ev1
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*------e2-----*
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v3 ev2 v2
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'''
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if not self.__sub_faces:
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# create empty sub_faces that will be filled with edge references
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# below
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# these need to at least exist so the interior edges have
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# something to reference
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self.__sub_faces = [Face() for edge in self.edges]
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if not self.__interior_edges:
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# set up empty edge objects to be filled below
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self.__interior_edges = [Edge() for edge in self.edges]
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# each interior edge connects the exterior edge vertex (mid-point)
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# to the faceVertex (centroid)
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for index in range(len(self.edges)):
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prevIndex = (index - 1) % len(self.edges)
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nextIndex = (index + 1) % len(self.edges)
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# end vertices are face centroid and currEdge edge_vertex
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self.__interior_edges[index].vertices = [
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self.edges[index].edge_vertex, self.centroid
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]
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# wing edges are the current edge's sub_edges (ordered same as
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# vertex order) and the prev and next interior edges
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self.__interior_edges[index].edges = [
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self.edges[index].sub_edges[0],
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self.edges[index].sub_edges[1],
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self.__interior_edges[prevIndex],
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self.__interior_edges[nextIndex]
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]
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# edge faces are the new sub_faces (current and next faces), the
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# current will be define below
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# and the next will be defined on the next iteration (or
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# already defined on the last iteration)
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self.__interior_edges[index].faces = [
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self.__sub_faces[index],
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self.__sub_faces[nextIndex]
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]
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# now reference the current edge back into the faces,
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# and the edge.sub_edges, and the edge.edge_vertex
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# current subFace (same index as current interior edge)
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# set its edges to reference the same edges used to setup the
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# interior edge
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# order will be pretty important on these steps...
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self.__sub_faces[index].edges = [
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self.edges[index].sub_edges[0],
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self.__interior_edges[index],
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self.__interior_edges[prevIndex],
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self.edges[prevIndex].sub_edges[1]
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]
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# just set one of the vertex edges, the other belongs to
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# another face and will get added when that face is run
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self.edges[index].edge_vertex.edges.append(
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self.__interior_edges[index])
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self.edges[index].sub_edges[0].faces.append(
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self.__sub_faces[index])
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self.edges[index].sub_edges[0].faces.append(
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self.__sub_faces[index])
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def refine(poly):
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'''
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