small change in paperfold
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@ -55,7 +55,8 @@ class Paperfold(inkex.EffectExtension):
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# Compute the third point of a triangle when two points and all edge lengths are given
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def getThirdPoint(self, v0, v1, l01, l12, l20):
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v2rotx = (l01 ** 2 + l20 ** 2 - l12 ** 2) / (2 * l01)
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v2roty0 = np.sqrt((l01 + l20 + l12) * (l01 + l20 - l12) * (l01 - l20 + l12) * (-l01 + l20 + l12)) / (2 * l01)
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val = (l01 + l20 + l12) * (l01 + l20 - l12) * (l01 - l20 + l12) * (-l01 + l20 + l12)
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v2roty0 = np.sqrt(abs(val)) / (2 * l01)
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v2roty1 = - v2roty0
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@ -134,16 +135,20 @@ class Paperfold(inkex.EffectExtension):
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def unfoldSpanningTree(self, mesh, spanningTree):
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try:
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unfoldedMesh = om.TriMesh() # the unfolded mesh
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numFaces = mesh.n_faces()
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sizeTree = spanningTree.number_of_edges()
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numUnfoldedEdges = 3 * numFaces - sizeTree
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isFoldingEdge = np.zeros(numUnfoldedEdges, dtype=bool) # Indicates whether an edge is folded or cut
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glueNumber = np.empty(numUnfoldedEdges, dtype=int) # Saves with which edge is glued together
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dihedralAngles = np.empty(numUnfoldedEdges, dtype=float) # Valley folding or mountain folding
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connections = np.empty(numFaces, dtype=int) # Saves which original triangle belongs to the unrolled one
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numFaces = mesh.n_faces()
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sizeTree = spanningTree.number_of_edges()
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numUnfoldedEdges = 3 * numFaces - sizeTree
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# Select the first triangle as desired
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startingNode = list(spanningTree.nodes())[0]
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startingTriangle = mesh.face_handle(startingNode)
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@ -218,65 +223,68 @@ class Paperfold(inkex.EffectExtension):
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# We walk through the tree
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for dualEdge in nx.dfs_edges(spanningTree, source=startingNode):
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foldingEdge = mesh.edge_handle(spanningTree[dualEdge[0]][dualEdge[1]]['idx'])
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# Find the corresponding half edge in the output triangle
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foldingHalfEdge = mesh.halfedge_handle(foldingEdge, 0)
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if not (mesh.face_handle(foldingHalfEdge).idx() == dualEdge[0]):
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foldingHalfEdge = mesh.halfedge_handle(foldingEdge, 1)
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# Find the corresponding unwound half edge
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unfoldedLastHalfEdge = unfoldedMesh.halfedge_handle(halfEdgeConnections[foldingHalfEdge.idx()])
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# Find the point in the unrolled triangle that is not on the folding edge
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oppositeUnfoldedVertex = unfoldedMesh.to_vertex_handle(unfoldedMesh.next_halfedge_handle(unfoldedLastHalfEdge))
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# We turn the half edges over to lie in the new triangle
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foldingHalfEdge = mesh.opposite_halfedge_handle(foldingHalfEdge)
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unfoldedLastHalfEdge = unfoldedMesh.opposite_halfedge_handle(unfoldedLastHalfEdge)
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# The two corners of the folding edge
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unfoldedFromVertex = unfoldedMesh.from_vertex_handle(unfoldedLastHalfEdge)
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unfoldedToVertex = unfoldedMesh.to_vertex_handle(unfoldedLastHalfEdge)
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# Calculate the edge lengths in the new triangle
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secondHalfEdgeInFace = mesh.next_halfedge_handle(foldingHalfEdge)
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thirdHalfEdgeInFace = mesh.next_halfedge_handle(secondHalfEdgeInFace)
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originalHalfEdges = [foldingHalfEdge, secondHalfEdgeInFace, thirdHalfEdgeInFace]
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edgelengths = [mesh.calc_edge_length(foldingHalfEdge), mesh.calc_edge_length(secondHalfEdgeInFace),
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mesh.calc_edge_length(thirdHalfEdgeInFace)]
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# We calculate the two possibilities for the third point in the triangle
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[newUnfoldedVertex0, newUnfoldedVertex1] = self.getThirdPoint(unfoldedMesh.point(unfoldedFromVertex),
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unfoldedMesh.point(unfoldedToVertex), edgelengths[0],
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edgelengths[1], edgelengths[2])
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newUnfoldedVertex = unfoldedMesh.add_vertex(newUnfoldedVertex0)
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# Make the face
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newface = unfoldedMesh.add_face(unfoldedFromVertex, unfoldedToVertex, newUnfoldedVertex)
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secondUnfoldedHalfEdge = unfoldedMesh.next_halfedge_handle(unfoldedLastHalfEdge)
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thirdUnfoldedHalfEdge = unfoldedMesh.next_halfedge_handle(secondUnfoldedHalfEdge)
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unfoldedHalfEdges = [unfoldedLastHalfEdge, secondUnfoldedHalfEdge, thirdUnfoldedHalfEdge]
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# Saving the information about edges and page
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# Dotted one's in the output
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unfoldedLastEdge = unfoldedMesh.edge_handle(unfoldedLastHalfEdge)
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isFoldingEdge[unfoldedLastEdge.idx()] = True
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# Gluing number and folding direction
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self.addVisualisationData(mesh, unfoldedMesh, originalHalfEdges, unfoldedHalfEdges, glueNumber, dihedralAngles)
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# Related page
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connections[newface.idx()] = dualEdge[1]
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# Identify the half edges
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for i in range(3):
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halfEdgeConnections[originalHalfEdges[i].idx()] = unfoldedHalfEdges[i].idx()
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try:
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foldingEdge = mesh.edge_handle(spanningTree[dualEdge[0]][dualEdge[1]]['idx'])
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# Find the corresponding half edge in the output triangle
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foldingHalfEdge = mesh.halfedge_handle(foldingEdge, 0)
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if not (mesh.face_handle(foldingHalfEdge).idx() == dualEdge[0]):
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foldingHalfEdge = mesh.halfedge_handle(foldingEdge, 1)
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# Find the corresponding unwound half edge
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unfoldedLastHalfEdge = unfoldedMesh.halfedge_handle(halfEdgeConnections[foldingHalfEdge.idx()])
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# Find the point in the unrolled triangle that is not on the folding edge
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oppositeUnfoldedVertex = unfoldedMesh.to_vertex_handle(unfoldedMesh.next_halfedge_handle(unfoldedLastHalfEdge))
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# We turn the half edges over to lie in the new triangle
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foldingHalfEdge = mesh.opposite_halfedge_handle(foldingHalfEdge)
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unfoldedLastHalfEdge = unfoldedMesh.opposite_halfedge_handle(unfoldedLastHalfEdge)
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# The two corners of the folding edge
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unfoldedFromVertex = unfoldedMesh.from_vertex_handle(unfoldedLastHalfEdge)
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unfoldedToVertex = unfoldedMesh.to_vertex_handle(unfoldedLastHalfEdge)
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# Calculate the edge lengths in the new triangle
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secondHalfEdgeInFace = mesh.next_halfedge_handle(foldingHalfEdge)
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thirdHalfEdgeInFace = mesh.next_halfedge_handle(secondHalfEdgeInFace)
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originalHalfEdges = [foldingHalfEdge, secondHalfEdgeInFace, thirdHalfEdgeInFace]
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edgelengths = [mesh.calc_edge_length(foldingHalfEdge), mesh.calc_edge_length(secondHalfEdgeInFace),
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mesh.calc_edge_length(thirdHalfEdgeInFace)]
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# We calculate the two possibilities for the third point in the triangle
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[newUnfoldedVertex0, newUnfoldedVertex1] = self.getThirdPoint(unfoldedMesh.point(unfoldedFromVertex),
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unfoldedMesh.point(unfoldedToVertex), edgelengths[0],
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edgelengths[1], edgelengths[2])
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newUnfoldedVertex = unfoldedMesh.add_vertex(newUnfoldedVertex0)
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# Make the face
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newface = unfoldedMesh.add_face(unfoldedFromVertex, unfoldedToVertex, newUnfoldedVertex)
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secondUnfoldedHalfEdge = unfoldedMesh.next_halfedge_handle(unfoldedLastHalfEdge)
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thirdUnfoldedHalfEdge = unfoldedMesh.next_halfedge_handle(secondUnfoldedHalfEdge)
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unfoldedHalfEdges = [unfoldedLastHalfEdge, secondUnfoldedHalfEdge, thirdUnfoldedHalfEdge]
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# Saving the information about edges and page
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# Dotted one's in the output
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unfoldedLastEdge = unfoldedMesh.edge_handle(unfoldedLastHalfEdge)
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isFoldingEdge[unfoldedLastEdge.idx()] = True
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# Gluing number and folding direction
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self.addVisualisationData(mesh, unfoldedMesh, originalHalfEdges, unfoldedHalfEdges, glueNumber, dihedralAngles)
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# Related page
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connections[newface.idx()] = dualEdge[1]
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# Identify the half edges
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for i in range(3):
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halfEdgeConnections[originalHalfEdges[i].idx()] = unfoldedHalfEdges[i].idx()
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except Exception as e:
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inkex.utils.debug("Error walking the dual tree at dualEdge {}".format(e))
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exit(1)
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return [unfoldedMesh, isFoldingEdge, connections, glueNumber, dihedralAngles]
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except Exception as e:
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inkex.utils.debug("Error: model could not be unfolded. Check for:")
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@ -286,7 +294,6 @@ class Paperfold(inkex.EffectExtension):
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inkex.utils.debug(" - missing units")
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inkex.utils.debug(" - missing coordinate system")
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inkex.utils.debug(" - multiple bodies in one file")
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inkex.utils.debug("error was: " + str(e))
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exit(1)
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