108 lines
2.6 KiB
Python
Executable File
108 lines
2.6 KiB
Python
Executable File
#!/usr/bin/env python
|
|
#
|
|
# This file is part of libigl, a simple c++ geometry processing library.
|
|
#
|
|
# Copyright (C) 2017 Sebastian Koch <s.koch@tu-berlin.de> and Daniele Panozzo <daniele.panozzo@gmail.com>
|
|
#
|
|
# This Source Code Form is subject to the terms of the Mozilla Public License
|
|
# v. 2.0. If a copy of the MPL was not distributed with this file, You can
|
|
# obtain one at http://mozilla.org/MPL/2.0/.
|
|
import sys, os
|
|
|
|
# Add the igl library to the modules search path
|
|
sys.path.insert(0, os.getcwd() + "/../")
|
|
import pyigl as igl
|
|
|
|
from shared import TUTORIAL_SHARED_PATH, check_dependencies
|
|
|
|
dependencies = ["glfw"]
|
|
check_dependencies(dependencies)
|
|
|
|
|
|
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_PATH + "cheburashka.off", V, F)
|
|
|
|
# Plot the mesh
|
|
viewer = igl.glfw.Viewer()
|
|
viewer.data().set_mesh(V, F)
|
|
viewer.data().show_lines = False
|
|
viewer.callback_key_down = key_down
|
|
|
|
# One fixed point on belly
|
|
b = igl.eigen.MatrixXd([[2556]]).castint()
|
|
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()
|