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Copy pathVolume.cpp
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Copy pathVolume.cpp
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356 lines (305 loc) · 10.8 KB
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#include "Volume.h"
void Volume::draw(bool tmesh, bool polygon, bool surface, double resolution)
{
assert(viewer != NULL); // use setViewer(Viewer* viewer)
if (id == -1) {
id = (*viewer).append_mesh();
}
(*viewer).selected_data_index = id;
if (tmesh) {
drawTmesh();
return;
}
if (polygon) {
drawControlpolygon();
}
if (surface) {
drawParamCurve();
drawVolume(resolution);
}
}
int Volume::saveAsHex(string filename, double resolution)
{
ofstream out(filename + ".hex");
if (!out.is_open()) {
cout << "failed to open file: " + filename + ".hex" << endl;
return -1;
}
ofstream out1(filename + ".jac");
if (!out1.is_open()) {
cout << "failed to open file: " + filename + ".jac" << endl;
return -1;
}
// 参数域为 [0,1]*[0,1]*[0,1]
const int n = 1.0 / resolution;
const int n1 = n + 1;
Eigen::MatrixXd V = Eigen::MatrixXd(n1*n1*n1, 3);
Eigen::MatrixXi Hex = Eigen::MatrixXi(n*n*n, 8);
// jacobian 值
vector<double> jacobian(Hex.rows() * 8);
for (int k = 0; k <= n; k++) {
for (int j = 0; j <= n; j++) {
for (int i = 0; i <= n; i++) {
Point3d point = eval(1.0*i / n, 1.0*j / n, 1.0*k / n);
V.row(k*n1*n1 + j*n1 + i) = point.toVectorXd();
}
}
}
// 六面体网格
int hex_id = 0;
for (int k = 0; k < n; k++) {
for (int j = 0; j < n; j++) {
for (int i = 0; i < n; i++) {
int v_id = k*n1*n1 + j*n1 + i;
int v_up_id = v_id + n1*n1;
Hex.row(hex_id) << v_id, v_id + n1, v_id + n1 + 1, v_id + 1,
v_up_id, v_up_id + n1, v_up_id + n1 + 1, v_up_id + 1;
Vector3d du = V.row(v_id + 1) - V.row(v_id);
Vector3d dv = V.row(v_id + n1) - V.row(v_id);
Vector3d dw = V.row(v_up_id) - V.row(v_id);
jacobian[hex_id * 8] = (du.cross(dv)).normalized().dot(dw.normalized());
du = V.row(v_id + n1 + 1) - V.row(v_id + n1);
dv = -dv;
dw = V.row(v_up_id + n1) - V.row(v_id + n1);
jacobian[hex_id * 8 + 1] = (dv.cross(du)).normalized().dot(dw.normalized());
du = -du;
dv = V.row(v_id + 1) - V.row(v_id + n1 + 1);
dw = V.row(v_up_id + n1 + 1) - V.row(v_id + n1 + 1);
jacobian[hex_id * 8 + 2] = (du.cross(dv)).normalized().dot(dw.normalized());
du = V.row(v_id) - V.row(v_id + 1);
dv = -dv;
dw = V.row(v_up_id + 1) - V.row(v_id + 1);
jacobian[hex_id * 8 + 3] = (dv.cross(du)).normalized().dot(dw.normalized());
du = V.row(v_up_id + 1) - V.row(v_up_id);
dv = V.row(v_up_id + n1) - V.row(v_up_id);
dw = V.row(v_id) - V.row(v_up_id);
jacobian[hex_id * 8 + 4] = (dv.cross(du)).normalized().dot(dw.normalized());
du = V.row(v_up_id + n1 + 1) - V.row(v_up_id + n1);
dv = -dv;
dw = V.row(v_id + n1) - V.row(v_up_id + n1);
jacobian[hex_id * 8 + 5] = (du.cross(dv)).normalized().dot(dw.normalized());
du = -du;
dv = V.row(v_up_id + 1) - V.row(v_up_id + n1 + 1);
dw = V.row(v_id + n1 + 1) - V.row(v_up_id + n1 + 1);
jacobian[hex_id * 8 + 6] = (dv.cross(du)).normalized().dot(dw.normalized());
du = V.row(v_up_id) - V.row(v_up_id + 1);
dv = -dv;
dw = V.row(v_id + 1) - V.row(v_up_id + 1);
jacobian[hex_id * 8 + 7] = (du.cross(dv)).normalized().dot(dw.normalized());
if (reverse) {
for (int id = 0; id <= 7; id++) {
jacobian[hex_id * 8 + id] = -jacobian[hex_id * 8 + id];
}
}
/*for (int id = 0; id <= 7; id++) {
if (jacobian[hex_id * 8 + id] <= 0) {
cout << "save jacobian: " << jacobian[hex_id * 8 + id] << endl;
break;
}
}*/
hex_id++;
}
}
}
out << "# num of vertices: " << V.rows() << endl;
out << "# num of Hexahedron: " << Hex.rows() << endl;
for (int i = 0; i < V.rows(); i++) {
out << "v " << V(i, 0) << " " << V(i, 1) << " " << V(i, 2) << endl;
}
for (int i = 0; i < Hex.rows(); i++) {
out << "h ";
for (int j = 0; j < 8; j++) {
out << Hex(i, j) << " ";
}
out << endl;
}
sort(jacobian.begin(), jacobian.end());
double avg = accumulate(jacobian.begin(), jacobian.end(), 0.0) / jacobian.size();
out1 << "# jacobian value" << endl;
out1 << "min: " << jacobian.front() << endl;
out1 << "max: " << jacobian.back() << endl;
out1 << "avg: " << avg << endl;
cout << "minJacobian: " << jacobian.front() << endl;
cout << "maxJacobian: " << jacobian.back() << endl;
cout << "avgJacobian: " << avg << endl;
for (const auto& v : jacobian) {
out1 << v << endl;
}
out.close();
out1.close();
return 0;
}
void Volume::drawVolume(double resolution)
{
// 参数域为 [0,1]*[0,1]*[0,1]
const int n = 1.0 / resolution;
const int n1 = n + 1;
Eigen::MatrixXd V = Eigen::MatrixXd(n1*n1*n1, 3);
Eigen::MatrixXi F = Eigen::MatrixXi(n*n * 12, 3);
for (int k = 0; k <= n; k++) {
for (int j = 0; j <= n; j++) {
for (int i = 0; i <= n; i++) {
Point3d point = eval(1.0*i / n, 1.0*j / n, 1.0*k / n);
V.row(k*n1*n1 + j*n1 + i) = point.toVectorXd();
}
}
}
// 画出8个点
/*Eigen::MatrixXd corner(8, 3);
corner.row(0) = V.row(0);
corner.row(1) = V.row(n);
corner.row(2) = V.row(n*n1);
corner.row(3) = V.row(n*n1+n);
corner.row(4) = V.row(n*n1*n1);
corner.row(5) = V.row(n*n1*n1+n);
corner.row(6) = V.row(n*n1*n1+n*n1);
corner.row(7) = V.row(n1*n1*n1-1);
(*viewer).data().add_label(corner.row(0), "000");
(*viewer).data().add_label(corner.row(1), "100");
(*viewer).data().add_label(corner.row(2), "010");
(*viewer).data().add_label(corner.row(3), "110");
(*viewer).data().add_label(corner.row(4), "001");
(*viewer).data().add_label(corner.row(5), "101");
(*viewer).data().add_label(corner.row(6), "011");
(*viewer).data().add_label(corner.row(7), "111");
(*viewer).data().add_points(corner, red);*/
// 画出六个面
int f_id = 0;
for (int j = 0; j < n; j++) {
for (int i = 0; i < n; i++) {
// bottom
int v_id = j*n1 + i;
//int f_id = 2 * (2 * j*n + 2 * i);
F.row(f_id) << v_id, v_id + n1, v_id + 1;
F.row(f_id + 1) << v_id + n1, v_id + n1 + 1, v_id + 1;
// top
f_id += 2;
v_id += n*n1*n1;
F.row(f_id) << v_id, v_id + 1, v_id + n1;
F.row(f_id + 1) << v_id + 1, v_id + n1 + 1, v_id + n1;
// front
f_id += 2;
v_id = j*n1*n1 + i;
F.row(f_id) << v_id, v_id + 1, v_id + n1*n1;
F.row(f_id + 1) << v_id + 1, v_id + n1*n1 + 1, v_id + n1*n1;
// back
f_id += 2;
v_id += n*(n + 1);
F.row(f_id) << v_id, v_id + n1*n1, v_id + 1;
F.row(f_id + 1) << v_id + n1*n1, v_id + n1*n1 + 1, v_id + 1;
// left
f_id += 2;
v_id = j*n1*n1 + i*n1;
F.row(f_id) << v_id, v_id + n1*n1, v_id + n1;
F.row(f_id + 1) << v_id + n1*n1, v_id + n1*n1 + n1, v_id + n1;
// right
f_id += 2;
v_id += n;
F.row(f_id) << v_id, v_id + n1, v_id + n1*n1;
F.row(f_id + 1) << v_id + n1, v_id + n1*n1 + n1, v_id + n1*n1;
f_id += 2;
}
}
Eigen::MatrixXi Hex = Eigen::MatrixXi(n*n*n, 8);
// jacobian 值
vector<double> jacobian(Hex.rows() * 8);
// 六面体网格
int hex_id = 0;
for (int k = 0; k < n; k++) {
for (int j = 0; j < n; j++) {
for (int i = 0; i < n; i++) {
int v_id = k*n1*n1 + j*n1 + i;
int v_up_id = v_id + n1*n1;
Hex.row(hex_id) << v_id, v_id + n1, v_id + n1 + 1, v_id + 1,
v_up_id, v_up_id + n1, v_up_id + n1 + 1, v_up_id + 1;
Vector3d du = V.row(v_id + 1) - V.row(v_id);
Vector3d dv = V.row(v_id + n1) - V.row(v_id);
Vector3d dw = V.row(v_up_id) - V.row(v_id);
jacobian[hex_id * 8] = (du.cross(dv)).normalized().dot(dw.normalized());
du = V.row(v_id + n1 + 1) - V.row(v_id + n1);
dv = -dv;
dw = V.row(v_up_id + n1) - V.row(v_id + n1);
jacobian[hex_id * 8 + 1] = (dv.cross(du)).normalized().dot(dw.normalized());
du = -du;
dv = V.row(v_id + 1) - V.row(v_id + n1 + 1);
dw = V.row(v_up_id + n1 + 1) - V.row(v_id + n1 + 1);
jacobian[hex_id * 8 + 2] = (du.cross(dv)).normalized().dot(dw.normalized());
du = V.row(v_id) - V.row(v_id + 1);
dv = -dv;
dw = V.row(v_up_id + 1) - V.row(v_id + 1);
jacobian[hex_id * 8 + 3] = (dv.cross(du)).normalized().dot(dw.normalized());
du = V.row(v_up_id + 1) - V.row(v_up_id);
dv = V.row(v_up_id + n1) - V.row(v_up_id);
dw = V.row(v_id) - V.row(v_up_id);
jacobian[hex_id * 8 + 4] = (dv.cross(du)).normalized().dot(dw.normalized());
du = V.row(v_up_id + n1 + 1) - V.row(v_up_id + n1);
dv = -dv;
dw = V.row(v_id + n1) - V.row(v_up_id + n1);
jacobian[hex_id * 8 + 5] = (du.cross(dv)).normalized().dot(dw.normalized());
du = -du;
dv = V.row(v_up_id + 1) - V.row(v_up_id + n1 + 1);
dw = V.row(v_id + n1 + 1) - V.row(v_up_id + n1 + 1);
jacobian[hex_id * 8 + 6] = (dv.cross(du)).normalized().dot(dw.normalized());
du = V.row(v_up_id) - V.row(v_up_id + 1);
dv = -dv;
dw = V.row(v_id + 1) - V.row(v_up_id + 1);
jacobian[hex_id * 8 + 7] = (du.cross(dv)).normalized().dot(dw.normalized());
if (reverse) {
for (int id = 0; id <= 7; id++) {
jacobian[hex_id * 8 + id] = -jacobian[hex_id * 8 + id];
}
}
for (int id = 0; id <= 7; id++) {
if (jacobian[hex_id * 8 + id] <= 0) {
//cout << "negative jacobian: " << jacobian[hex_id * 8 + id] << endl;
MatrixXd p0 = MatrixXd::Zero(1, 3);
p0.row(0) = V.row(Hex(hex_id, 0));
MatrixXd p1 = MatrixXd::Zero(1, 3);
p1.row(0) = V.row(Hex(hex_id, 1));
MatrixXd p2 = MatrixXd::Zero(1, 3);
p2.row(0) = V.row(Hex(hex_id, 2));
MatrixXd p3 = MatrixXd::Zero(1, 3);
p3.row(0) = V.row(Hex(hex_id, 3));
MatrixXd p4 = MatrixXd::Zero(1, 3);
p4.row(0) = V.row(Hex(hex_id, 4));
MatrixXd p5 = MatrixXd::Zero(1, 3);
p5.row(0) = V.row(Hex(hex_id, 5));
MatrixXd p6 = MatrixXd::Zero(1, 3);
p6.row(0) = V.row(Hex(hex_id, 6));
MatrixXd p7 = MatrixXd::Zero(1, 3);
p7.row(0) = V.row(Hex(hex_id, 7));
(*viewer).data().add_edges(p0, p1, white);
(*viewer).data().add_edges(p1, p2, white);
(*viewer).data().add_edges(p2, p3, white);
(*viewer).data().add_edges(p0, p3, white);
(*viewer).data().add_edges(p4, p5, white);
(*viewer).data().add_edges(p5, p6, white);
(*viewer).data().add_edges(p6, p7, white);
(*viewer).data().add_edges(p7, p4, white);
(*viewer).data().add_edges(p0, p4, white);
(*viewer).data().add_edges(p1, p5, white);
(*viewer).data().add_edges(p2, p6, white);
(*viewer).data().add_edges(p3, p7, white);
/*for (int m = 0; m < 8; m++) {
MatrixXd point = MatrixXd::Zero(1, 3);
point.row(0) = V.row(Hex(hex_id, m));
(*viewer).data().add_points(point, white);
}*/
break;
}
}
hex_id++;
}
}
}
sort(jacobian.begin(), jacobian.end());
double avg = accumulate(jacobian.begin(), jacobian.end(), 0.0) / jacobian.size();
/*out1 << "# jacobian value" << endl;
out1 << "min: " << jacobian.front() << endl;
out1 << "max: " << jacobian.back() << endl;
out1 << "avg: " << avg << endl;*/
cout << "minJacobian: " << jacobian.front() << endl;
cout << "maxJacobian: " << jacobian.back() << endl;
cout << "avgJacobian: " << avg << endl;
(*viewer).data().set_mesh(V, F);
}