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igl/python/tutorial/305_QuadraticProgramming.py
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Python

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