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#include <igl/avg_edge_length.h>
#include <igl/barycenter.h>
#include <igl/frame_field_deformer.h>
#include <igl/frame_to_cross_field.h>
#include <igl/jet.h>
#include <igl/local_basis.h>
#include <igl/readDMAT.h>
#include <igl/readOBJ.h>
#include <igl/rotate_vectors.h>
#include <igl/copyleft/comiso/nrosy.h>
#include <igl/copyleft/comiso/miq.h>
#include <igl/copyleft/comiso/frame_field.h>
#include <igl/opengl/glfw/Viewer.h>
#include <igl/PI.h>
// Input mesh
Eigen::MatrixXd V;
Eigen::MatrixXi F;
// Face barycenters
Eigen::MatrixXd B;
// Scale for visualizing the fields
double global_scale;
// Input frame field constraints
Eigen::VectorXi b;
Eigen::MatrixXd bc1;
Eigen::MatrixXd bc2;
// Interpolated frame field
Eigen::MatrixXd FF1, FF2;
// Deformed mesh
Eigen::MatrixXd V_deformed;
Eigen::MatrixXd B_deformed;
// Frame field on deformed
Eigen::MatrixXd FF1_deformed;
Eigen::MatrixXd FF2_deformed;
// Cross field on deformed
Eigen::MatrixXd X1_deformed;
Eigen::MatrixXd X2_deformed;
// Global parametrization
Eigen::MatrixXd V_uv;
Eigen::MatrixXi F_uv;
// Create a texture that hides the integer translation in the parametrization
void line_texture(Eigen::Matrix<unsigned char,Eigen::Dynamic,Eigen::Dynamic> &texture_R,
Eigen::Matrix<unsigned char,Eigen::Dynamic,Eigen::Dynamic> &texture_G,
Eigen::Matrix<unsigned char,Eigen::Dynamic,Eigen::Dynamic> &texture_B)
{
unsigned size = 128;
unsigned size2 = size/2;
unsigned lineWidth = 3;
texture_R.setConstant(size, size, 255);
for (unsigned i=0; i<size; ++i)
for (unsigned j=size2-lineWidth; j<=size2+lineWidth; ++j)
texture_R(i,j) = 0;
for (unsigned i=size2-lineWidth; i<=size2+lineWidth; ++i)
for (unsigned j=0; j<size; ++j)
texture_R(i,j) = 0;
texture_G = texture_R;
texture_B = texture_R;
}
bool key_down(igl::opengl::glfw::Viewer& viewer, unsigned char key, int modifier)
{
using namespace std;
using namespace Eigen;
if (key <'1' || key >'6')
return false;
viewer.data().clear();
viewer.data().show_lines = false;
viewer.data().show_texture = false;
if (key == '1')
{
// Frame field constraints
viewer.data().set_mesh(V, F);
MatrixXd F1_t = MatrixXd::Zero(FF1.rows(),FF1.cols());
MatrixXd F2_t = MatrixXd::Zero(FF2.rows(),FF2.cols());
// Highlight in red the constrained faces
MatrixXd C = MatrixXd::Constant(F.rows(),3,1);
for (unsigned i=0; i<b.size();++i)
{
C.row(b(i)) << 1, 0, 0;
F1_t.row(b(i)) = bc1.row(i);
F2_t.row(b(i)) = bc2.row(i);
}
viewer.data().set_colors(C);
MatrixXd C1,C2;
VectorXd K1 = F1_t.rowwise().norm();
VectorXd K2 = F2_t.rowwise().norm();
igl::jet(K1,true,C1);
igl::jet(K2,true,C2);
viewer.data().add_edges(B - global_scale*F1_t, B + global_scale*F1_t ,C1);
viewer.data().add_edges(B - global_scale*F2_t, B + global_scale*F2_t ,C2);
}
if (key == '2')
{
// Frame field
viewer.data().set_mesh(V, F);
MatrixXd C1,C2;
VectorXd K1 = FF1.rowwise().norm();
VectorXd K2 = FF2.rowwise().norm();
igl::jet(K1,true,C1);
igl::jet(K2,true,C2);
viewer.data().add_edges(B - global_scale*FF1, B + global_scale*FF1 ,C1);
viewer.data().add_edges(B - global_scale*FF2, B + global_scale*FF2 ,C2);
// Highlight in red the constrained faces
MatrixXd C = MatrixXd::Constant(F.rows(),3,1);
for (unsigned i=0; i<b.size();++i)
C.row(b(i)) << 1, 0, 0;
viewer.data().set_colors(C);
}
if (key == '3')
{
// Deformed with frame field
viewer.data().set_mesh(V_deformed, F);
viewer.data().add_edges(B_deformed - global_scale*FF1_deformed, B_deformed + global_scale*FF1_deformed ,Eigen::RowVector3d(1,0,0));
viewer.data().add_edges(B_deformed - global_scale*FF2_deformed, B_deformed + global_scale*FF2_deformed ,Eigen::RowVector3d(0,0,1));
viewer.data().set_colors(RowVector3d(1,1,1));
}
if (key == '4')
{
// Deformed with cross field
viewer.data().set_mesh(V_deformed, F);
viewer.data().add_edges(B_deformed - global_scale*X1_deformed, B_deformed + global_scale*X1_deformed ,Eigen::RowVector3d(0,0,1));
viewer.data().add_edges(B_deformed - global_scale*X2_deformed, B_deformed + global_scale*X2_deformed ,Eigen::RowVector3d(0,0,1));
viewer.data().set_colors(RowVector3d(1,1,1));
}
if (key == '5')
{
// Deformed with quad texture
viewer.data().set_mesh(V_deformed, F);
viewer.data().set_uv(V_uv,F_uv);
viewer.data().set_colors(RowVector3d(1,1,1));
viewer.data().show_texture = true;
}
if (key == '6')
{
// Deformed with quad texture
viewer.data().set_mesh(V, F);
viewer.data().set_uv(V_uv,F_uv);
viewer.data().set_colors(RowVector3d(1,1,1));
viewer.data().show_texture = true;
}
// Replace the standard texture with an integer shift invariant texture
Eigen::Matrix<unsigned char,Eigen::Dynamic,Eigen::Dynamic> texture_R, texture_G, texture_B;
line_texture(texture_R, texture_G, texture_B);
viewer.data().set_texture(texture_R, texture_B, texture_G);
viewer.core().align_camera_center(viewer.data().V,viewer.data().F);
return false;
}
int main(int argc, char *argv[])
{
using namespace Eigen;
// Load a mesh in OBJ format
igl::readOBJ(TUTORIAL_SHARED_PATH "/bumpy-cube.obj", V, F);
// Compute face barycenters
igl::barycenter(V, F, B);
// Compute scale for visualizing fields
global_scale = .2*igl::avg_edge_length(V, F);
// Load constraints
MatrixXd temp;
igl::readDMAT(TUTORIAL_SHARED_PATH "/bumpy-cube.dmat",temp);
b = temp.block(0,0,temp.rows(),1).cast<int>();
bc1 = temp.block(0,1,temp.rows(),3);
bc2 = temp.block(0,4,temp.rows(),3);
// Interpolate the frame field
igl::copyleft::comiso::frame_field(V, F, b, bc1, bc2, FF1, FF2);
// Deform the mesh to transform the frame field in a cross field
igl::frame_field_deformer(
V,F,FF1,FF2,V_deformed,FF1_deformed,FF2_deformed);
// Compute face barycenters deformed mesh
igl::barycenter(V_deformed, F, B_deformed);
// Find the closest crossfield to the deformed frame field
igl::frame_to_cross_field(V_deformed,F,FF1_deformed,FF2_deformed,X1_deformed);
// Find a smooth crossfield that interpolates the deformed constraints
MatrixXd bc_x(b.size(),3);
for (unsigned i=0; i<b.size();++i)
bc_x.row(i) = X1_deformed.row(b(i));
VectorXd S;
igl::copyleft::comiso::nrosy(
V,
F,
b,
bc_x,
VectorXi(),
VectorXd(),
MatrixXd(),
4,
0.5,
X1_deformed,
S);
// The other representative of the cross field is simply rotated by 90 degrees
MatrixXd B1,B2,B3;
igl::local_basis(V_deformed,F,B1,B2,B3);
X2_deformed =
igl::rotate_vectors(X1_deformed, VectorXd::Constant(1,igl::PI/2), B1, B2);
// Global seamless parametrization
igl::copyleft::comiso::miq(V_deformed,
F,
X1_deformed,
X2_deformed,
V_uv,
F_uv,
60.0,
5.0,
false,
2);
igl::opengl::glfw::Viewer viewer;
// Plot the original mesh with a texture parametrization
key_down(viewer,'6',0);
// Launch the viewer
viewer.callback_key_down = &key_down;
viewer.launch();
}