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igl/python/tutorial/304_LinearEqualityConstraints.py
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Daniele Panozzo 53ee86a4ab fixing py tutorials
fixing runtime errors introduced by updating to pybind 2.2


Former-commit-id: ac4ffe2434
2018-02-14 16:05:19 -04:00

110 lines
2.7 KiB
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)
V = igl.eigen.MatrixXd()
F = igl.eigen.MatrixXi()
igl.readOFF(TUTORIAL_SHARED_PATH + "cheburashka.off", V, F)
# Two fixed points
# Left hand, left foot
b = igl.eigen.MatrixXd([[4331], [5957]]).castint()
bc = igl.eigen.MatrixXd([[1], [-1]])
# Construct Laplacian and mass matrix
L = igl.eigen.SparseMatrixd()
M = igl.eigen.SparseMatrixd()
Minv = igl.eigen.SparseMatrixd()
Q = 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 * (Minv * L)
# Zero linear term
B = igl.eigen.MatrixXd.Zero(V.rows(), 1)
Z = igl.eigen.MatrixXd()
Z_const = igl.eigen.MatrixXd()
# Alternative, short hand
mqwf = igl.min_quad_with_fixed_data()
# Empty constraints
Beq = igl.eigen.MatrixXd()
Aeq = igl.eigen.SparseMatrixd()
igl.min_quad_with_fixed_precompute(Q, b, Aeq, True, mqwf)
igl.min_quad_with_fixed_solve(mqwf, B, bc, Beq, Z)
# Constraint forcing difference of two points to be 0
Aeq = igl.eigen.SparseMatrixd(1, V.rows())
# Right hand, right foot
Aeq.insert(0, 6074, 1)
Aeq.insert(0, 6523, -1)
Aeq.makeCompressed()
Beq = igl.eigen.MatrixXd([[0]])
igl.min_quad_with_fixed_precompute(Q, b, Aeq, True, mqwf)
igl.min_quad_with_fixed_solve(mqwf, B, bc, Beq, Z_const)
# Global definitions for viewer
# Pseudo-color based on solution
C = igl.eigen.MatrixXd()
C_const = igl.eigen.MatrixXd()
toggle = True
# Use same color axes
min_z = min(Z.minCoeff(), Z_const.minCoeff())
max_z = max(Z.maxCoeff(), Z_const.maxCoeff())
igl.jet(Z, min_z, max_z, C)
igl.jet(Z_const, min_z, max_z, C_const)
# Plot the mesh with pseudocolors
viewer = igl.glfw.Viewer()
viewer.data().set_mesh(V, F)
viewer.data().show_lines = False
viewer.data().set_colors(C)
def key_down(viewer, key, mode):
if key == ord(' '):
global toggle, C, C_const
if toggle:
viewer.data().set_colors(C)
else:
viewer.data().set_colors(C_const)
toggle = not toggle
return True
return False
viewer.callback_key_down = key_down
print("Press [space] to toggle between unconstrained and constrained.")
viewer.launch()