91 lines
2.1 KiB
Python
91 lines
2.1 KiB
Python
# Add the igl library to the modules search path
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import sys, os
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sys.path.insert(0, os.getcwd() + "/../")
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import igl
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b = igl.eigen.MatrixXi()
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B = igl.eigen.MatrixXd()
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bc = igl.eigen.MatrixXd()
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lx = igl.eigen.MatrixXd()
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ux = igl.eigen.MatrixXd()
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Beq = igl.eigen.MatrixXd()
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Bieq = igl.eigen.MatrixXd()
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Z = igl.eigen.MatrixXd()
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Q = igl.eigen.SparseMatrixd()
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Aeq = igl.eigen.SparseMatrixd()
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Aieq = igl.eigen.SparseMatrixd()
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def solve(viewer):
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global Q,B,b,bc,Aeq,Beq,Aieq,Bieq,lx,ux,Z
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params = igl.active_set_params()
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params.max_iter = 8
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igl.active_set(Q,B,b,bc,Aeq,Beq,Aieq,Bieq,lx,ux,params,Z)
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C = igl.eigen.MatrixXd()
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igl.jet(Z,0,1,C)
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viewer.data.set_colors(C)
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def key_down(viewer, key, mod):
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global Beq,solve
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if key == ord('.'):
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Beq[0,0] = Beq[0,0] * 2.0
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solve(viewer)
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return True
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elif key == ord(','):
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Beq[0,0] = Beq[0,0] / 2.0
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solve(viewer)
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return True
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elif key == ord(' '):
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solve(viewer)
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return True
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return False;
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V = igl.eigen.MatrixXd()
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F = igl.eigen.MatrixXi()
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igl.readOFF("../../tutorial/shared/cheburashka.off",V,F)
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# Plot the mesh
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viewer = igl.viewer.Viewer()
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viewer.data.set_mesh(V, F)
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viewer.core.show_lines = False
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viewer.callback_key_down = key_down
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# One fixed point on belly
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b = igl.eigen.MatrixXi([[2556]])
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bc = igl.eigen.MatrixXd([[1]])
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# Construct Laplacian and mass matrix
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L = igl.eigen.SparseMatrixd()
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M = igl.eigen.SparseMatrixd()
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Minv = igl.eigen.SparseMatrixd()
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igl.cotmatrix(V,F,L)
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igl.massmatrix(V,F,igl.MASSMATRIX_TYPE_VORONOI,M);
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igl.invert_diag(M,Minv)
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# Bi-Laplacian
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Q = L.transpose() * (Minv * L)
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# Zero linear term
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B = igl.eigen.MatrixXd.Zero(V.rows(),1)
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# Lower and upper bound
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lx = igl.eigen.MatrixXd.Zero(V.rows(),1)
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ux = igl.eigen.MatrixXd.Ones(V.rows(),1)
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# Equality constraint constrain solution to sum to 1
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Beq = igl.eigen.MatrixXd([[0.08]])
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Aeq = M.diagonal().sparseView().transpose()
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# (Empty inequality constraints)
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solve(viewer)
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print("Press '.' to increase scale and resolve.")
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print("Press ',' to decrease scale and resolve.")
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viewer.launch()
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