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152 | #include "HarmonicMapper.hpp"
#include <iostream>
#include <math.h>
#include <map>
namespace MeshKit {
HarmonicMapper::HarmonicMapper(MKCore* core, vector<Vertex> &v, vector<Face> &t, vector<Edge> &e, vector<set<int> > a)
{
mk_core = core;
vtx.insert(vtx.begin(), v.begin(), v.end());
tri.insert(tri.begin(), t.begin(), t.end());
edges.insert(edges.begin(), e.begin(), e.end());
adj.insert(adj.begin(), a.begin(), a.end());
}
void HarmonicMapper::execute()
{
_iterative_map(0.001);
}
void HarmonicMapper::getUV(vector<Vertex> &v)
{
int count = -1;
for (vector<Vertex>::iterator it = vtx.begin(); it != vtx.end(); it++){<--- Prefer prefix ++/-- operators for non-primitive types.
count++;
if (it->onBoundary) continue;
v[count].uv[0] = it->uv[0];
v[count].uv[1] = it->uv[1];
//std::cout << "HarmonicMapper index = " << count << "\tuv = {" << it->uv[0] << "," << it->uv[1] << "}\n";
}
}
//matrix method
void HarmonicMapper::_map()<--- The function '_map' is never used.
{
int n_interior = 0, n_boundary = 0;
for (vector<Vertex>::iterator it = vtx.begin(); it != vtx.end(); it++){<--- Prefer prefix ++/-- operators for non-primitive types.
if (it->onBoundary){
it->id = n_boundary;
n_boundary++;
}
else{
it->id = n_interior;
n_interior++;
}
}
//using Armadillo to solve linear equations
mat A = zeros<mat>(n_interior, n_interior);
mat B = zeros<mat>(n_interior, n_boundary);
//setting up the matrix A
for (vector<Vertex>::iterator it = vtx.begin(); it != vtx.end(); it++){<--- Prefer prefix ++/-- operators for non-primitive types.
if (it->onBoundary) continue;
int index_i = it->id;
double sw = 0.0;
for (set<int>::iterator it_adj = adj[it->index].begin(); it_adj != adj[it->index].end(); it_adj++){<--- Prefer prefix ++/-- operators for non-primitive types.
int index_vtx = -1;
if (edges[*it_adj].connect[0]->index == it->index)
index_vtx = edges[*it_adj].connect[1]->index;
else
index_vtx = edges[*it_adj].connect[0]->index;
int index_j = vtx[index_vtx].id;
double w = edges[*it_adj].e;
if (vtx[index_vtx].onBoundary)
B(index_i, index_j) = w;
else
A(index_i, index_j) = -1.0*w;
sw += w;
}
A(index_i, index_i) = sw;
}
mat b = zeros<mat>(n_interior, 2);
for (vector<Vertex>::iterator it = vtx.begin(); it != vtx.end(); it++){<--- Prefer prefix ++/-- operators for non-primitive types.
if (!it->onBoundary) continue;
b(it->id,0) = it->uv[0];
b(it->id,1) = it->uv[1];
}
mat c = B * b;//n_interior * 2
mat uv_coord = solve(A, c);
int count = -1;
for (vector<Vertex>::iterator it = vtx.begin(); it != vtx.end(); it++){<--- Prefer prefix ++/-- operators for non-primitive types.
if (it->onBoundary) continue;
count++;
it->uv[0] = uv_coord(count, 0);
it->uv[1] = uv_coord(count, 1);
}
}
//iterative method
void HarmonicMapper::_iterative_map(double epsilon)
{
//move interior vertices to its center of neighbors
//boundary nodes are set to (0,0)
vector<int> interior;
for (std::vector<Vertex>::iterator it = vtx.begin(); it != vtx.end(); it++)<--- Prefer prefix ++/-- operators for non-primitive types.
if (!it->onBoundary){
interior.push_back(it->index);
it->uv[0] = 0.0;
it->uv[1] = 0.0;
}
while(true){
double error = -1.0e+10;
for (std::vector<int>::iterator it = interior.begin(); it != interior.end(); it++){<--- Prefer prefix ++/-- operators for non-primitive types.
Vector2D uv;
uv[0] = 0.0;
uv[1] = 0.0;
double weight = 0.0;
for (set<int>::iterator it_e = adj[*it].begin(); it_e != adj[*it].end(); it_e++){<--- Prefer prefix ++/-- operators for non-primitive types.
int adj_v = -1;
if (edges[*it_e].connect[0]->index == (*it))
adj_v = edges[*it_e].connect[1]->index;
else
adj_v = edges[*it_e].connect[0]->index;
uv[0] += edges[*it_e].e*vtx[adj_v].uv[0];
uv[1] += edges[*it_e].e*vtx[adj_v].uv[1];
weight += edges[*it_e].e;
}
Vector2D pre_uv;
pre_uv[0] = vtx[*it].uv[0];
pre_uv[1] = vtx[*it].uv[1];
vtx[*it].uv[0] = uv[0]/weight;
vtx[*it].uv[1] = uv[1]/weight;
double v_err = sqrt(pow(pre_uv[0]-vtx[*it].uv[0],2)+pow(pre_uv[1]-vtx[*it].uv[1],2));
error = (v_err > error)? v_err : error;
}
if (error < epsilon) break;
}
}
HarmonicMapper::~HarmonicMapper()
{
std::cout << "It is over now in smoothing" << endl;
}
}
|