getting closer, its starting to look like it...
This commit is contained in:
William Blattman
parent
a93c047a5d
commit
805edfe12f
90
geometry.py
90
geometry.py
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@ -88,15 +88,33 @@ class Vertex(object):
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'''
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A vertex is a position along with other information such as color, normal vector and texture coordinates.
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'''
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def __init__(self, x, y, z):
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def __init__(self, x=0, y=0, z=0):
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self.x = x
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self.y = y
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self.z = z
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self.edges = []
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def __repr__(self):
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return "<%.2f, %.2f, %.2f>" % (self.x, self.y, self.z)
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def __add__(self, other):
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# for now just assume type(other) = Vertex... bad, I know
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return Vertex(self.x + other.x, self.y + other.y, self.z + other.z)
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def __radd__(self, other):
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return self.__add__(other)
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def __mul__(self, other):
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# for now just assume type(other) = int or float
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return Vertex(self.x * other, self.y * other, self.z * other)
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def __rmul__(self, other):
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return self.__mul__(other)
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def __div__(self, other):
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# same assumption as __mult__
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return Vertex(self.x / other, self.y / other, self.z / other)
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class Edge(object):
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'''
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'''
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@ -112,6 +130,9 @@ class Edge(object):
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return self.faces[1]
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else:
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return self.faces[0]
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def __getMidPoint(self):
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return sum(self.vertices, Vertex())/len(self.vertices)
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midPoint = property(fget=__getMidPoint)
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def __getSubEdges(self):
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if not self.__subEdges:
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@ -239,7 +260,7 @@ class Face(object):
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self.edges[index].subEdges[0].faces.append(self.__subFaces[index])
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self.edges[index].subEdges[0].faces.append(self.__subFaces[index])
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class Polygon(object):
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'''
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Face splitting should happend on the polygon level(?). It doesn't make sense to split just one face since
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@ -261,11 +282,17 @@ class Polygon(object):
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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
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'''
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# each face knows how to subdivide and create a set of subfaces, including interior edges and setup their references correctly... <- not completely finished...
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p = Polygon()
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edges = []
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vertices = []
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faces = []
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for face in self.faces:
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for subFace in face.subFaces:
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faces.append(subFace)
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@ -273,9 +300,39 @@ class Polygon(object):
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edges.append(edge)
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for vertex in edge.vertices:
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vertices.append(vertex)
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for vertex in self.vertices:
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faceVertices = []
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edgeMidPoints = []
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for edge in vertex.edges:
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edgeMidPoints.append(edge.midPoint)
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for face in edge.faces:
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faceVertices.append(face.centroid)
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f = sum(list(set(faceVertices)), Vertex())/len(list(set(faceVertices)))
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r = sum(list(set(edgeMidPoints)), Vertex())/len(list(set(edgeMidPoints)))
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p = vertex
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n = len(vertex.edges)
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v = (f + (2.0 * r) + (n - 3.0) * p) / n
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# print v
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vertex.x = v.x
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vertex.y = v.y
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vertex.z = v.z
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# so now what.........
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# (F + 2R + (n-3) P) / n
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#
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# F = average of all face vertices touching P
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# R = average of all edge vertices touching P
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# P original point
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# n = number of edges connecting to P
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p.faces = faces
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p.vertices = vertices
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p.edges = edges
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# plotting these in excel seems to show the correct values (at first glace...)
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# so now what.........
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@ -286,13 +343,14 @@ class Polygon(object):
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# P original point
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# n = face vertices or edge vertices (should be the same number)
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return p
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def createPolygon():
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v = []
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v.append(Vertex(0.0, 1.0, 0.0))
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v.append(Vertex(1.0, 1.0, 0.0))
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v.append(Vertex(1.0, 0.0, 0.0))
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v.append(Vertex(0.0, 0.0, 0.0))
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v.append(Vertex(0.0, 1.0, 1.0))
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v.append(Vertex(1.0, 1.0, 1.0))
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v.append(Vertex(1.0, 0.0, 1.0))
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@ -327,7 +385,7 @@ def createPolygon():
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v[3].edges = [e[2], e[7], e[3]]
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v[4].edges = [e[4], e[11], e[8]]
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v[5].edges = [e[5], e[9], e[8]]
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v[6].edges = [e[2], e[9], e[10]]
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v[6].edges = [e[6], e[9], e[10]]
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v[7].edges = [e[7], e[10], e[11]]
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# face list
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@ -339,16 +397,16 @@ def createPolygon():
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f[5].edges = [e[10], e[9], e[8], e[11]]
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#winged edges ordered by face, then by vertex reference
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e[0].vertices, e[0].faces, e[0].edges = [v[0], v[1]], [f[0], f[4]], [e[3], e[1], e[4], e[5]]
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e[1].vertices, e[1].faces, e[1].edges = [v[1], v[2]], [f[0], f[1]], [e[0], e[2], e[5], e[6]]
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e[2].vertices, e[2].faces, e[2].edges = [v[2], v[3]], [f[0], f[2]], [e[3], e[7], e[1], e[6]]
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e[3].vertices, e[3].faces, e[3].edges = [v[3], v[0]], [f[3], f[0]], [e[4], e[7], e[0], e[2]]
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e[4].vertices, e[4].faces, e[4].edges = [v[0], v[4]], [f[3], f[4]], [e[11], e[3], e[0], e[8]]
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e[5].vertices, e[5].faces, e[5].edges = [v[5], v[1]], [f[4], f[1]], [e[8], e[0], e[9], e[1]]
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e[6].vertices, e[6].faces, e[6].edges = [v[2], v[6]], [f[1], f[2]], [e[1], e[9], e[2], e[10]]
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e[7].vertices, e[7].faces, e[7].edges = [v[7], v[3]], [f[3], f[2]], [e[11], e[3], e[10], e[2]]
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e[8].vertices, e[8].faces, e[8].edges = [v[4], v[5]], [f[4], f[5]], [e[4], e[5], e[11], e[9]]
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e[9].vertices, e[9].faces, e[9].edges = [v[5], v[6]], [f[1], f[5]], [e[5], e[6], e[8], e[10]]
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e[0].vertices, e[0].faces, e[0].edges = [v[0], v[1]], [f[0], f[4]], [e[3], e[1], e[4], e[5]]
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e[1].vertices, e[1].faces, e[1].edges = [v[1], v[2]], [f[0], f[1]], [e[0], e[2], e[5], e[6]]
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e[2].vertices, e[2].faces, e[2].edges = [v[2], v[3]], [f[0], f[2]], [e[1], e[3], e[6], e[7]]
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e[3].vertices, e[3].faces, e[3].edges = [v[3], v[0]], [f[3], f[0]], [e[4], e[7], e[0], e[2]]
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e[4].vertices, e[4].faces, e[4].edges = [v[0], v[4]], [f[3], f[4]], [e[11], e[3], e[0], e[8]]
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e[5].vertices, e[5].faces, e[5].edges = [v[5], v[1]], [f[4], f[1]], [e[8], e[0], e[9], e[1]]
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e[6].vertices, e[6].faces, e[6].edges = [v[2], v[6]], [f[1], f[2]], [e[1], e[9], e[2], e[10]]
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e[7].vertices, e[7].faces, e[7].edges = [v[7], v[3]], [f[3], f[2]], [e[11], e[3], e[10], e[2]]
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e[8].vertices, e[8].faces, e[8].edges = [v[4], v[5]], [f[4], f[5]], [e[4], e[5], e[11], e[9]]
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e[9].vertices, e[9].faces, e[9].edges = [v[5], v[6]], [f[1], f[5]], [e[5], e[6], e[8], e[10]]
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e[10].vertices, e[10].faces, e[10].edges = [v[7], v[6]], [f[2], f[5]], [e[7], e[6], e[11], e[9]]
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e[11].vertices, e[11].faces, e[11].edges = [v[4], v[7]], [f[3], f[5]], [e[4], e[7], e[8], e[10]]
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