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Copy pathMapLoopsBackToMeshLevelSetAndArc.cpp
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MapLoopsBackToMeshLevelSetAndArc.cpp
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/*
(c) 2012 Fengtao Fan
*/
#include "MapLoopsBackToMeshLevelSetAndArc.h"
#include <boost/unordered_map.hpp>
#include <boost/unordered_set.hpp>
void MapLoopsBackToMeshLevelSetAndArc::FindEdgeConnectingTwoVertices(const int src_x, const int dist_y, const int eid_y,
int &outEdge) {
int edge_u = 0;
int edge_v = 0;
int triangle_id = TriangleAdjacentToOneEdgesOneVertex(eid_y, src_x);
//
edge_u = (*inMeshPtr).vecTriangle[triangle_id].e01;
if ((*inMeshPtr).vecTriangle[triangle_id].e01 == eid_y)
edge_u = (*inMeshPtr).vecTriangle[triangle_id].e02;
//
edge_v = (*inMeshPtr).vecTriangle[triangle_id].e01 +
(*inMeshPtr).vecTriangle[triangle_id].e02 +
(*inMeshPtr).vecTriangle[triangle_id].e12 -
(eid_y + edge_u);
//
if ((*inMeshPtr).vecEdge[edge_u].v0 == dist_y ||
(*inMeshPtr).vecEdge[edge_u].v1 == dist_y) {
outEdge = edge_u;
} else {
outEdge = edge_v;
}
return;
}
void MapLoopsBackToMeshLevelSetAndArc::ComputeLevelCycle() {
// preq: level cycle pointType is initialized
// //////////////////////////
/*
The level set can be treated as a closed triangle strip
So one can trace the triangle strip
*/
/*
boost::unordered_set<int> triangleDegree;
std::vector<int> triangleOrder ;
for (unsigned int i = 0; i < _levelCyclePointTypePtr->size() - 1; i++)
{
int triangle_id = 0;
int edge_a = (*_levelCyclePointTypePtr)[i].first;
int edge_b = (*_levelCyclePointTypePtr)[i + 1].first;
//if (i == 0)
//{
// triangle_id = TriangleAdjacentToOneEdgesOneVertex(edge_b, edge_a);
//}
//else
//{
// if (i == _arcCyclePointTypePtr->size() - 2)
// {
// triangle_id = TriangleAdjacentToOneEdgesOneVertex(edge_a, edge_b);
// }
// else
// {
// triangle_id = TriangleAdjacentToTwoEdges(edge_a, edge_b);
// }
//}
//
triangle_id = TriangleAdjacentToTwoEdges(edge_a, edge_b);
//
boost::unordered_set<int>::iterator sIter = triangleDegree.find(triangle_id);
if (sIter == triangleDegree.end())
{
triangleDegree.insert(triangle_id);
triangleOrder.push_back(triangle_id);
}
else
{//
std::cout << "NOT a triangle trip" << std::endl;
exit(9);
}
//
}
//
_simpGraph triangleStripGraph;
boost::unordered_map<int, int> verToGraphNode;
boost::unordered_map<int, int>::iterator mIter;
int nGrapNodeCounter = 0;
for (unsigned int i = 0; i < triangleOrder.size(); i++)
{
int node[3] = { (*inMeshPtr).vecTriangle[triangleOrder[i]].v0,
(*inMeshPtr).vecTriangle[triangleOrder[i]].v1,
(*inMeshPtr).vecTriangle[triangleOrder[i]].v2};
int gNode[3] = {0};
for (int j = 0; j < 3; j++)
{
mIter = verToGraphNode.find(node[j]);
if (mIter == verToGraphNode.end())
{
triangleStripGraph.AddNode(nGrapNodeCounter, node[j]);
gNode[j] = nGrapNodeCounter;
verToGraphNode[node[j]] = nGrapNodeCounter;
nGrapNodeCounter++;
}
else
{
gNode[j] = mIter->second;
}
}
triangleStripGraph.AddEdge(gNode[0], gNode[1]); // since graph node use set to store adjacent list
triangleStripGraph.AddEdge(gNode[0], gNode[2]); // no need to check the edge exists or not
triangleStripGraph.AddEdge(gNode[1], gNode[2]);
}
//
for (unsigned int i = 0; i < _levelCyclePointTypePtr->size() - 1; i++)
{
int edge_idx = (*_levelCyclePointTypePtr)[i].first;
triangleStripGraph.RemoveEdge( verToGraphNode[(*inMeshPtr).vecEdge[edge_idx].v0], verToGraphNode[(*inMeshPtr).vecEdge[edge_idx].v1]);
}
//there exist two disjont two components
std::vector<bool> colors(triangleStripGraph.vecNode.size(), false);
std::vector<int> parents(triangleStripGraph.vecNode.size(), -1);
int components = 0;
int currentNode = -1;
int oppositeNode = -1;
for (unsigned int i = 0; i < colors.size(); i++)
{
if (!colors[i])
{// visit the components
std::queue<int> Q;
Q.push(i);
colors[i] = true;
parents[i] = -1;
while (!Q.empty())
{
int node = Q.front();
Q.pop();
for (std::set<int>::iterator sIter = triangleStripGraph.vecNode[node].adjList.begin();
sIter != triangleStripGraph.vecNode[node].adjList.end(); sIter++)
{
if (!colors[*sIter])
{
colors[*sIter] = true;
Q.push(*sIter);
parents[*sIter] = node;
}
else
{
if (parents[node] != *sIter)
{// non-tree edge
currentNode = node;
oppositeNode = *sIter;
}
}
}
}
components++;
}
}
if (components != 2)
{
std::cout << "wrong method again" << std::endl;
exit(4);
}
outLevelCycle_VertexOnMesh.reserve(triangleStripGraph.vecNode.size());
outLevelCycle_EdgeOnMesh.reserve(triangleStripGraph.vecNode.size());
//
//for (int i = 0; i < triangleStripGraph.vecNode.size(); i++)
//{
// if (parents[i] < 0 && triangleStripGraph.vecNode[i].adjList.size() > 1)
// {
// currentNode = i;
// break;
// }
//}
if (currentNode < 0 || oppositeNode < 0)
{
std::cout << "CANNOT find intial node for level cycle " << std::endl;
exit(4);
}
//for (std::set<int>::iterator sIter = triangleStripGraph.vecNode[currentNode].adjList.begin();
// sIter != triangleStripGraph.vecNode[currentNode].adjList.end(); sIter++)
//{
// if (currentNode != parents[*sIter])
// {
// oppositeNode = *sIter;
// break;
// }
//}
//
std::vector<int> leftPath;
int iterNode = currentNode;
while (iterNode >= 0)
{
leftPath.push_back(triangleStripGraph.vecNode[iterNode].color);
iterNode = parents[iterNode];
}
for (std::vector<int>::reverse_iterator rvIter = leftPath.rbegin();
rvIter != leftPath.rend(); rvIter++)
{
outLevelCycle_VertexOnMesh.push_back(*rvIter);
}
//
iterNode = oppositeNode;
while (iterNode >= 0)
{
outLevelCycle_VertexOnMesh.push_back(triangleStripGraph.vecNode[iterNode].color);
iterNode = parents[iterNode];
}
if (outLevelCycle_VertexOnMesh.back() != leftPath.back())
{
std::cout << "in different compoents" << std::endl;
exit(4);
}
//
for (unsigned int i = 0; i < outLevelCycle_VertexOnMesh.size() - 1; i++)
{
int curNode = outLevelCycle_VertexOnMesh[i];
int oppNode = outLevelCycle_VertexOnMesh[i + 1];
for (std::vector<int>::iterator vIter = (*inMeshPtr).vecVertex[curNode].adjEdges.begin();
vIter != (*inMeshPtr).vecVertex[curNode].adjEdges.end(); vIter++)
{
if ((*inMeshPtr).vecEdge[*vIter].v0 == oppNode ||
(*inMeshPtr).vecEdge[*vIter].v1 == oppNode)
{
outLevelCycle_EdgeOnMesh.push_back(*vIter);
break;
}
}
}
//
//
return;
*/
// // critical point
//std::set<int> processed_vertex;
//std::set<int>::iterator findIter;
//
int pot_vertex = 0;
int pot_edge_id = 0;
int current_edge_id = 0;
int current_active_vertex = 0;
int shared_vertex = 0;
/*
Initializing current active vertex
*/
if ((*_levelCyclePointTypePtr)[0].second) {// it is an edge
current_edge_id = (*_levelCyclePointTypePtr)[0].first;
current_active_vertex = (*inMeshPtr).vecEdge[current_edge_id].v0;
//
//processed_vertex.insert(current_active_vertex);
//
outLevelCycle_VertexOnMesh.push_back(current_active_vertex);
} else {// it is only a vertex
current_active_vertex = (*_levelCyclePointTypePtr)[0].first;
//
//processed_vertex.insert(current_active_vertex);
//
outLevelCycle_VertexOnMesh.push_back(current_active_vertex);
}
// boundary check is done YET !!!!!!!!!!!!!!!
for (unsigned int i = 1; i < _levelCyclePointTypePtr->size() - 1; i++) {
/*
Invariant : current_active_vertex is always on current edge if current array element is an edge
or it is the current vertex if current array element is a vertex
*/
if ((*_levelCyclePointTypePtr)[i].second) {// this is an edge type vertex
current_edge_id = (*_levelCyclePointTypePtr)[i].first;
if (inMeshPtr->vecEdge[current_edge_id].v0 != current_active_vertex &&
inMeshPtr->vecEdge[current_edge_id].v1 !=
current_active_vertex) {// if current active vertex is on this edge, then do nothing
// else add one more edge and update current_active_vertex
// since the levele set cross the edge only once, so there must exist at least one vertex on the edge not visited yet
if ((*_levelCyclePointTypePtr)[i - 1].second) {// previous one is an edge
shared_vertex = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i - 1].first].v0 +
inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i - 1].first].v1 -
current_active_vertex;
pot_vertex = inMeshPtr->vecEdge[current_edge_id].v0;
if (shared_vertex == pot_vertex)
pot_vertex = inMeshPtr->vecEdge[current_edge_id].v1;
//
FindEdgeConnectingTwoVertices(current_active_vertex, pot_vertex, current_edge_id, pot_edge_id);
//
current_active_vertex = pot_vertex;
//
outLevelCycle_VertexOnMesh.push_back(current_active_vertex);
outLevelCycle_EdgeOnMesh.push_back(pot_edge_id);
//
//processed_vertex.insert(current_active_vertex);
} else {
std::cout << "error in levelset mapping, exist an vertex?" << std::endl;
exit(2);
}
}
} else {// it is a vertex
std::cout << "error in levelset mapping, exist an vertex?" << std::endl;
exit(2);
pot_vertex = (*_levelCyclePointTypePtr)[i].first;
// check if this vertex is there or not
// if it is there, ignore it
// otherwise, push it
//
pot_edge_id = -1;
//if (processed_vertex.find(pot_vertex) == processed_vertex.end())
{
for (std::vector<int>::iterator vIter = inMeshPtr->vecVertex[current_active_vertex].adjEdges.begin();
vIter != inMeshPtr->vecVertex[current_active_vertex].adjEdges.end(); vIter++) {
if (inMeshPtr->vecEdge[*vIter].v0 == pot_vertex ||
inMeshPtr->vecEdge[*vIter].v1 == pot_vertex) {
pot_edge_id = *vIter;
break;
}
}
if (pot_edge_id > -1) {
outLevelCycle_VertexOnMesh.push_back(pot_vertex);
outLevelCycle_EdgeOnMesh.push_back(pot_edge_id);
} else {
std::cout << "No edge connecting two vertices " << std::endl;
exit(0);
}
//
current_active_vertex = pot_vertex;
//
//processed_vertex.insert(current_active_vertex);
}
}// else it is a vertex
}
// Handle the boundary case
pot_vertex = outLevelCycle_VertexOnMesh.front();
if ((*_levelCyclePointTypePtr).back().second) {
if (pot_vertex != current_active_vertex) {
current_edge_id = (*_levelCyclePointTypePtr).back().first;
if (inMeshPtr->vecEdge[current_edge_id].v0 == current_active_vertex ||
inMeshPtr->vecEdge[current_edge_id].v1 == current_active_vertex) {
outLevelCycle_EdgeOnMesh.push_back(current_edge_id);
outLevelCycle_VertexOnMesh.push_back(pot_vertex);
} else {
FindEdgeConnectingTwoVertices(current_active_vertex, pot_vertex, current_edge_id, pot_edge_id);
//
outLevelCycle_EdgeOnMesh.push_back(pot_edge_id);
outLevelCycle_VertexOnMesh.push_back(pot_vertex);
}
}
} else {
std::cout << "error in levelset mapping, exist an vertex?" << std::endl;
exit(2);
pot_edge_id = -1;
for (std::vector<int>::iterator vIter = inMeshPtr->vecVertex[current_active_vertex].adjEdges.begin();
vIter != inMeshPtr->vecVertex[current_active_vertex].adjEdges.end(); vIter++) {
if (inMeshPtr->vecEdge[*vIter].v0 == pot_vertex ||
inMeshPtr->vecEdge[*vIter].v1 == pot_vertex) {
pot_edge_id = *vIter;
break;
}
}
if (pot_edge_id > -1) {
outLevelCycle_VertexOnMesh.push_back(pot_vertex);
outLevelCycle_EdgeOnMesh.push_back(pot_edge_id);
} else {
std::cout << "No edge connecting two vertices " << std::endl;
exit(0);
}
}
return;
//
//// Trace a vertex-edge path on the mesh which is homotopic to the input cycle on mesh
//// the second part is the pair to its parent and the edge connecting it to its parent
//std::map<int, std::pair<int,int>> processed_vertex;
//int current_edge_a = 0;
//int current_edge_b = 0;
//int current_edge_c = 0;
//int opposite_vertex = 0;
//int tracing_termination_pt = 0;
//int current_active_node = 0;
//if ((*_levelCyclePointTypePtr)[0].second)
//{// it is an edge
// current_edge_a = (*_levelCyclePointTypePtr)[0].first;
// tracing_termination_pt = (*inMeshPtr).vecEdge[current_edge_a].v0;
// processed_vertex[(*inMeshPtr).vecEdge[current_edge_a].v0] = std::pair<int,int>(-1, -1);
// processed_vertex[(*inMeshPtr).vecEdge[current_edge_a].v1] = std::pair<int,int>((*inMeshPtr).vecEdge[current_edge_a].v0, current_edge_a);
// current_active_node = (*inMeshPtr).vecEdge[current_edge_a].v1;
//}
//else
//{// it is only a vertex
// current_edge_a = (*_levelCyclePointTypePtr)[0].first;
// tracing_termination_pt = current_edge_a;
// processed_vertex[current_edge_a] = std::pair<int,int>(-1, -1);
// current_active_node = current_edge_a;
//}
//////////////////////////////
//for (unsigned int i = 0; i < _levelCyclePointTypePtr->size() - 2; i++)
//{
// // find triangle conntaining the edge [i, i+1]
// int triangle_or_edge_id = 0;
// if ((*_levelCyclePointTypePtr)[i].second)
// {
// if ((*_levelCyclePointTypePtr)[i+1].second)
// {// both points are on edges
// // there exists an triangle containing them
// current_edge_a = (*_levelCyclePointTypePtr)[i].first;
// current_edge_b = (*_levelCyclePointTypePtr)[i+1].first;
// triangle_or_edge_id = TriangleAdjacentToTwoEdges(current_edge_a, current_edge_b);
// opposite_vertex = (*inMeshPtr).vecTriangle[triangle_or_edge_id].v0 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].v1 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].v2 -
// ((*inMeshPtr).vecEdge[current_edge_a].v0 + (*inMeshPtr).vecEdge[current_edge_a].v1);
// //
// current_edge_c = (*inMeshPtr).vecTriangle[triangle_or_edge_id].e01 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].e02 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].e12 -
// (current_edge_a + current_edge_b);
// //
// if (processed_vertex.find(opposite_vertex) == processed_vertex.end())
// {
// if ((*inMeshPtr).vecEdge[current_edge_b].v1 == current_active_node ||
// (*inMeshPtr).vecEdge[current_edge_b].v0 == current_active_node)
// {
// processed_vertex[opposite_vertex] = std::pair<int,int>(((*inMeshPtr).vecEdge[current_edge_b].v0 + (*inMeshPtr).vecEdge[current_edge_b].v1) - opposite_vertex, current_edge_b);
// }
// else
// {
// processed_vertex[opposite_vertex] = std::pair<int,int>(((*inMeshPtr).vecEdge[current_edge_c].v0 + (*inMeshPtr).vecEdge[current_edge_c].v1) - opposite_vertex, current_edge_c);
// }
// }
// if (opposite_vertex == tracing_termination_pt)
// {
// current_active_node = (*inMeshPtr).vecEdge[current_edge_b].v0;
// if ((*inMeshPtr).vecEdge[current_edge_b].v0 == tracing_termination_pt)
// current_active_node = (*inMeshPtr).vecEdge[current_edge_b].v1;
// }
// else
// {
// current_active_node = opposite_vertex;
// }
//
// }
// else
// {// first is on edge , the second is a vertex
// opposite_vertex = (*_levelCyclePointTypePtr)[i+1].first;
// if (processed_vertex.find(opposite_vertex) == processed_vertex.end())
// {
// current_edge_a = (*_levelCyclePointTypePtr)[i].first;
// FindEdgeConnectingTwoVertices(opposite_vertex, current_active_node, current_edge_a, current_edge_c);
// processed_vertex[opposite_vertex] = std::pair<int, int>( current_active_node, current_edge_c);
//
// }
// current_active_node = opposite_vertex;
// }
// }
// else
// {
// if((*_levelCyclePointTypePtr)[i+1].second)
// {//
// opposite_vertex = (*_levelCyclePointTypePtr)[i].first;
// current_edge_c = (*_levelCyclePointTypePtr)[i+1].first;
// //
// triangle_or_edge_id = TriangleAdjacentToOneEdgesOneVertex(current_edge_c, opposite_vertex);
// //
// current_edge_a = (*inMeshPtr).vecTriangle[triangle_or_edge_id].e01;
// if ((*inMeshPtr).vecTriangle[triangle_or_edge_id].e01 == current_edge_c)
// current_edge_a = (*inMeshPtr).vecTriangle[triangle_or_edge_id].e02;
// //
// current_edge_b = (*inMeshPtr).vecTriangle[triangle_or_edge_id].e01 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].e02 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].e12 -
// (current_edge_a + current_edge_c);
// //
// int pot_vertex = (*inMeshPtr).vecEdge[current_edge_a].v0 + (*inMeshPtr).vecEdge[current_edge_a].v1 - opposite_vertex;
// if (processed_vertex.find(pot_vertex) == processed_vertex.end())
// {
// processed_vertex[pot_vertex] = std::pair<int,int>(opposite_vertex, current_edge_a);
// }
// //
// pot_vertex = (*inMeshPtr).vecEdge[current_edge_b].v0 + (*inMeshPtr).vecEdge[current_edge_b].v1 - opposite_vertex;
// if (processed_vertex.find(pot_vertex) == processed_vertex.end())
// {
// processed_vertex[pot_vertex] = std::pair<int,int>(opposite_vertex, current_edge_b);
//
// }
// current_active_node = pot_vertex;
// }
// else
// {
// int src_node = (*_levelCyclePointTypePtr)[i].first;
// opposite_vertex = (*_levelCyclePointTypePtr)[i+1].first;
// if (processed_vertex.find(opposite_vertex) == processed_vertex.end())
// {
// for (std::vector<int>::iterator vIter = (*inMeshPtr).vecVertex[src_node].adjEdges.begin();
// vIter != (*inMeshPtr).vecVertex[src_node].adjEdges.begin();
// vIter++)
// {
// if ((*inMeshPtr).vecEdge[*vIter].v0 == opposite_vertex ||
// (*inMeshPtr).vecEdge[*vIter].v1 == opposite_vertex)
// {
// processed_vertex[opposite_vertex] = std::pair<int,int>(src_node, *vIter);
// break;
// }
// }
// }
// current_active_node = opposite_vertex;
// }
// }
//}
//// find the starting point for tracing the closed loop
//int starting_point = 0;
//int starting_edge = 0;
//if (_levelCyclePointTypePtr->back().second)
//{
// int triangle_id = 0;
// current_edge_a = (*_levelCyclePointTypePtr).back().first;
// if ((*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].second)
// {
// current_edge_b = (*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].first;
// triangle_id = TriangleAdjacentToTwoEdges(current_edge_a, current_edge_b);
// starting_point = (*inMeshPtr).vecTriangle[triangle_id].v0 +
// (*inMeshPtr).vecTriangle[triangle_id].v1 +
// (*inMeshPtr).vecTriangle[triangle_id].v2 -
// ((*inMeshPtr).vecEdge[current_edge_a].v0 + (*inMeshPtr).vecEdge[current_edge_a].v1);
// //
// FindEdgeConnectingTwoVertices(starting_point, tracing_termination_pt, current_edge_a, starting_edge);
// }
// else
// {
// starting_point = (*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].first;
// FindEdgeConnectingTwoVertices(starting_point, tracing_termination_pt, current_edge_a, starting_edge);
// }
//}
//else
//{//
// if ((*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].second)
// {
// current_edge_a = (*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].first;
// starting_point = (*inMeshPtr).vecEdge[current_edge_a].v0;
// FindEdgeConnectingTwoVertices(tracing_termination_pt, starting_point, current_edge_a, starting_edge);
// }
// else
// {
// starting_point = (*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].first;
// for (std::vector<int>::iterator vIter = (*inMeshPtr).vecVertex[starting_point].adjEdges.begin();
// vIter != (*inMeshPtr).vecVertex[starting_point].adjEdges.begin();
// vIter++)
// {
// if ((*inMeshPtr).vecEdge[*vIter].v0 == tracing_termination_pt ||
// (*inMeshPtr).vecEdge[*vIter].v1 == tracing_termination_pt)
// {
// starting_edge = *vIter;
// break;
// }
// }
// }
//}
////
//outLevelCycle_VertexOnMesh.push_back(tracing_termination_pt);
//outLevelCycle_VertexOnMesh.push_back(starting_point);
//outLevelCycle_EdgeOnMesh.push_back(starting_edge);
//int current_vertex = starting_point;
//std::pair<int, int> current_vertex_parents = processed_vertex[current_vertex];
//while (current_vertex_parents.first != -1)
//{
// outLevelCycle_VertexOnMesh.push_back(current_vertex_parents.first);
// outLevelCycle_EdgeOnMesh.push_back(current_vertex_parents.second);
// current_vertex_parents = processed_vertex[current_vertex_parents.first];
//}
////////////////////////////
//return;
}
//void MapLoopsBackToMeshLevelSetAndArc::ComputeLevelCycle()
//{
// // preq: both level cycle and arc cycle , point and pointType are initialized
//
// //
// // Trace a vertex-edge path on the mesh which is homotopic to the input cycle on mesh
// // the second part is the pair to its parent and the edge connecting it to its parent
// std::map<int, std::pair<int,int>> processed_vertex;
// int current_edge_a = 0;
// int current_edge_b = 0;
// int current_edge_c = 0;
// int opposite_vertex = 0;
// int tracing_termination_pt = 0;
// int current_active_node = 0;
// if ((*_levelCyclePointTypePtr)[0].second)
// {// it is an edge
// current_edge_a = (*_levelCyclePointTypePtr)[0].first;
// tracing_termination_pt = (*inMeshPtr).vecEdge[current_edge_a].v0;
// processed_vertex[(*inMeshPtr).vecEdge[current_edge_a].v0] = std::pair<int,int>(-1, -1);
// processed_vertex[(*inMeshPtr).vecEdge[current_edge_a].v1] = std::pair<int,int>((*inMeshPtr).vecEdge[current_edge_a].v0, current_edge_a);
// current_active_node = (*inMeshPtr).vecEdge[current_edge_a].v1;
// }
// else
// {// it is only a vertex
// current_edge_a = (*_levelCyclePointTypePtr)[0].first;
// tracing_termination_pt = current_edge_a;
// processed_vertex[current_edge_a] = std::pair<int,int>(-1, -1);
// current_active_node = current_edge_a;
// }
// ////////////////////////////
// for (unsigned int i = 0; i < _levelCyclePointTypePtr->size() - 2; i++)
// {
// // find triangle conntaining the edge [i, i+1]
// int triangle_or_edge_id = 0;
//
// if ((*_levelCyclePointTypePtr)[i].second)
// {
// if ((*_levelCyclePointTypePtr)[i+1].second)
// {// both points are on edges
// // there exists an triangle containing them
// current_edge_a = (*_levelCyclePointTypePtr)[i].first;
// current_edge_b = (*_levelCyclePointTypePtr)[i+1].first;
// triangle_or_edge_id = TriangleAdjacentToTwoEdges(current_edge_a, current_edge_b);
// opposite_vertex = (*inMeshPtr).vecTriangle[triangle_or_edge_id].v0 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].v1 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].v2 -
// ((*inMeshPtr).vecEdge[current_edge_a].v0 + (*inMeshPtr).vecEdge[current_edge_a].v1);
// //
// current_edge_c = (*inMeshPtr).vecTriangle[triangle_or_edge_id].e01 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].e02 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].e12 -
// (current_edge_a + current_edge_b);
// //
// if (processed_vertex.find(opposite_vertex) == processed_vertex.end())
// {
// if ((*inMeshPtr).vecEdge[current_edge_b].v1 == current_active_node ||
// (*inMeshPtr).vecEdge[current_edge_b].v0 == current_active_node)
// {
// processed_vertex[opposite_vertex] = std::pair<int,int>(((*inMeshPtr).vecEdge[current_edge_b].v0 + (*inMeshPtr).vecEdge[current_edge_b].v1) - opposite_vertex, current_edge_b);
// }
// else
// {
// processed_vertex[opposite_vertex] = std::pair<int,int>(((*inMeshPtr).vecEdge[current_edge_c].v0 + (*inMeshPtr).vecEdge[current_edge_c].v1) - opposite_vertex, current_edge_c);
// }
// }
// if (opposite_vertex == tracing_termination_pt)
// {
// current_active_node = (*inMeshPtr).vecEdge[current_edge_b].v0;
// if ((*inMeshPtr).vecEdge[current_edge_b].v0 == tracing_termination_pt)
// current_active_node = (*inMeshPtr).vecEdge[current_edge_b].v1;
// }
// else
// {
// current_active_node = opposite_vertex;
// }
//
//
// }
// else
// {// first is on edge , the second is a vertex
// opposite_vertex = (*_levelCyclePointTypePtr)[i+1].first;
// if (processed_vertex.find(opposite_vertex) == processed_vertex.end())
// {
// current_edge_a = (*_levelCyclePointTypePtr)[i].first;
// FindEdgeConnectingTwoVertices(opposite_vertex, current_active_node, current_edge_a, current_edge_c);
// processed_vertex[opposite_vertex] = std::pair<int, int>( current_active_node, current_edge_c);
//
// }
// current_active_node = opposite_vertex;
// }
// }
// else
// {
// if((*_levelCyclePointTypePtr)[i+1].second)
// {//
// opposite_vertex = (*_levelCyclePointTypePtr)[i].first;
// current_edge_c = (*_levelCyclePointTypePtr)[i+1].first;
// //
// triangle_or_edge_id = TriangleAdjacentToOneEdgesOneVertex(current_edge_c, opposite_vertex);
// //
// current_edge_a = (*inMeshPtr).vecTriangle[triangle_or_edge_id].e01;
// if ((*inMeshPtr).vecTriangle[triangle_or_edge_id].e01 == current_edge_c)
// current_edge_a = (*inMeshPtr).vecTriangle[triangle_or_edge_id].e02;
// //
// current_edge_b = (*inMeshPtr).vecTriangle[triangle_or_edge_id].e01 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].e02 +
// (*inMeshPtr).vecTriangle[triangle_or_edge_id].e12 -
// (current_edge_a + current_edge_c);
// //
// int pot_vertex = (*inMeshPtr).vecEdge[current_edge_a].v0 + (*inMeshPtr).vecEdge[current_edge_a].v1 - opposite_vertex;
// if (processed_vertex.find(pot_vertex) == processed_vertex.end())
// {
// processed_vertex[pot_vertex] = std::pair<int,int>(opposite_vertex, current_edge_a);
// }
// //
// pot_vertex = (*inMeshPtr).vecEdge[current_edge_b].v0 + (*inMeshPtr).vecEdge[current_edge_b].v1 - opposite_vertex;
// if (processed_vertex.find(pot_vertex) == processed_vertex.end())
// {
// processed_vertex[pot_vertex] = std::pair<int,int>(opposite_vertex, current_edge_b);
//
// }
// current_active_node = pot_vertex;
// }
// else
// {
// int src_node = (*_levelCyclePointTypePtr)[i].first;
// opposite_vertex = (*_levelCyclePointTypePtr)[i+1].first;
// if (processed_vertex.find(opposite_vertex) == processed_vertex.end())
// {
// for (std::vector<int>::iterator vIter = (*inMeshPtr).vecVertex[src_node].adjEdges.begin();
// vIter != (*inMeshPtr).vecVertex[src_node].adjEdges.begin();
// vIter++)
// {
// if ((*inMeshPtr).vecEdge[*vIter].v0 == opposite_vertex ||
// (*inMeshPtr).vecEdge[*vIter].v1 == opposite_vertex)
// {
// processed_vertex[opposite_vertex] = std::pair<int,int>(src_node, *vIter);
// break;
// }
// }
// }
// current_active_node = opposite_vertex;
// }
// }
//
// }
// // find the starting point for tracing the closed loop
// int starting_point = 0;
// int starting_edge = 0;
// if (_levelCyclePointTypePtr->back().second)
// {
// int triangle_id = 0;
// current_edge_a = (*_levelCyclePointTypePtr).back().first;
// if ((*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].second)
// {
// current_edge_b = (*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].first;
// triangle_id = TriangleAdjacentToTwoEdges(current_edge_a, current_edge_b);
// starting_point = (*inMeshPtr).vecTriangle[triangle_id].v0 +
// (*inMeshPtr).vecTriangle[triangle_id].v1 +
// (*inMeshPtr).vecTriangle[triangle_id].v2 -
// ((*inMeshPtr).vecEdge[current_edge_a].v0 + (*inMeshPtr).vecEdge[current_edge_a].v1);
// //
// FindEdgeConnectingTwoVertices(starting_point, tracing_termination_pt, current_edge_a, starting_edge);
// }
// else
// {
// starting_point = (*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].first;
// FindEdgeConnectingTwoVertices(starting_point, tracing_termination_pt, current_edge_a, starting_edge);
// }
// }
// else
// {//
// if ((*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].second)
// {
// current_edge_a = (*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].first;
// starting_point = (*inMeshPtr).vecEdge[current_edge_a].v0;
// FindEdgeConnectingTwoVertices(tracing_termination_pt, starting_point, current_edge_a, starting_edge);
// }
// else
// {
// starting_point = (*_levelCyclePointTypePtr)[(*_levelCyclePointTypePtr).size() - 2].first;
// for (std::vector<int>::iterator vIter = (*inMeshPtr).vecVertex[starting_point].adjEdges.begin();
// vIter != (*inMeshPtr).vecVertex[starting_point].adjEdges.begin();
// vIter++)
// {
// if ((*inMeshPtr).vecEdge[*vIter].v0 == tracing_termination_pt ||
// (*inMeshPtr).vecEdge[*vIter].v1 == tracing_termination_pt)
// {
// starting_edge = *vIter;
// break;
// }
// }
// }
// }
// //
// outLevelCycle_VertexOnMesh.push_back(tracing_termination_pt);
// outLevelCycle_VertexOnMesh.push_back(starting_point);
// outLevelCycle_EdgeOnMesh.push_back(starting_edge);
// int current_vertex = starting_point;
// std::pair<int, int> current_vertex_parents = processed_vertex[current_vertex];
// while (current_vertex_parents.first != -1)
// {
// outLevelCycle_VertexOnMesh.push_back(current_vertex_parents.first);
// outLevelCycle_EdgeOnMesh.push_back(current_vertex_parents.second);
// current_vertex_parents = processed_vertex[current_vertex_parents.first];
// }
// //////////////////////////
// // critical point
// //int crit_vertex_a = _arcCyclePointTypePtr->front().first;
// //int crit_vertex_b = _arcCyclePointTypePtr->back().first;
// //std::set<int> processed_vertex;
// //std::set<int>::iterator findIter;
// ////
// //int pot_vertex = 0;
// //// boundary check is done YET !!!!!!!!!!!!!!!
// //for (unsigned int i = 0; i < _levelCyclePointTypePtr->size() - 1; i++)
// //{
// //
// // if ((*_levelCyclePointTypePtr)[i].second)
// // {// this is an edge type vertex
// // pot_vertex = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v0;
// // //
// // if (i != 0 && pot_vertex == outLevelCycle_VertexOnMesh.back())
// // continue;
// // // check if this vertex is there or not
// // // if it is there, ignore it
// // // otherwise, push it
// // //
// // //
// // outLevelCycle_VertexOnMesh.push_back(pot_vertex);
// // //
// // if (i != 0)
// // {// find the edge connecting (i-1)--(i)
// // // First, if the (i-1)-vertex is on the edge, as the other vertex of this edge is taken
// // // so the edge connecting (i-1)--(i) is just the processing edge
// // if (inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v0 == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2] ||
// // inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v1 == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2] )
// // {
// // outLevelCycle_EdgeOnMesh.push_back((*_levelCyclePointTypePtr)[i].first);
// // }
// // else
// // {
// // // find the triangle first containing the edge and prev vertex
// // int triangle_id = 0;
// // for (unsigned int nTri = 0; nTri < 1; nTri++)
// // {
// // int tot_sum = inMeshPtr->vecTriangle[inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri]].v0 +
// // inMeshPtr->vecTriangle[inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri]].v1 +
// // inMeshPtr->vecTriangle[inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri]].v2;
// // int tot_edge_sum = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v0 +
// // inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v1;
//
// // if (tot_sum - tot_edge_sum == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2])
// // {
// // triangle_id = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri];
// // }
// // else
// // {
// // triangle_id = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri + 1];
// // }
// // }
// // //
// // int edge_vec[3] = {inMeshPtr->vecTriangle[triangle_id].e01, inMeshPtr->vecTriangle[triangle_id].e02,
// // inMeshPtr->vecTriangle[triangle_id].e12};
// // for (int eid = 0; eid < 3; eid++)
// // {
// // if (( inMeshPtr->vecEdge[edge_vec[eid]].v0 == pot_vertex ||
// // inMeshPtr->vecEdge[edge_vec[eid]].v1 == pot_vertex) &&
// // (inMeshPtr->vecEdge[edge_vec[eid]].v0 == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2] ||
// // inMeshPtr->vecEdge[edge_vec[eid]].v1 == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2]))
// // {
// // outLevelCycle_EdgeOnMesh.push_back(edge_vec[eid]);
// // break;
// // }
// // }
// // //
// // }
// // }
// // //
//
// //
// // }
// // else
// // {// it is a vertex
// // pot_vertex = (*_levelCyclePointTypePtr)[i].first;
// // // check if this vertex is there or not
// // // if it is there, ignore it
// // // otherwise, push it
// // //
// // if (i != 0 && pot_vertex == outLevelCycle_VertexOnMesh.back())
// // continue;
// // //
// // outLevelCycle_VertexOnMesh.push_back(pot_vertex);
// // //
// // if (i != 0)
// // {
// // for (unsigned int k = 0; k < inMeshPtr->vecVertex[outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2]].adjEdges.size();
// // k++)
// // {
// // if (inMeshPtr->vecEdge[inMeshPtr->vecVertex[outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2]].adjEdges[k]].v0 == pot_vertex ||
// // inMeshPtr->vecEdge[inMeshPtr->vecVertex[outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2]].adjEdges[k]].v1 == pot_vertex)
// // {
// // outLevelCycle_EdgeOnMesh.push_back(inMeshPtr->vecVertex[outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2]].adjEdges[k]);
// // break;
// // }
// // }
// // }// if i != 0
// //
// // }// else it is a vertex
// //}
// //// Handle the boundary case
// //if (outLevelCycle_VertexOnMesh.back() != outLevelCycle_VertexOnMesh.front())
// //{
// // for (unsigned int i = 0; i < inMeshPtr->vecVertex[outLevelCycle_VertexOnMesh.front()].adjEdges.size();
// // i++)
// // {
// // if (inMeshPtr->vecEdge[inMeshPtr->vecVertex[outLevelCycle_VertexOnMesh.front()].adjEdges[i]].v0 == outLevelCycle_VertexOnMesh.back() ||
// // inMeshPtr->vecEdge[inMeshPtr->vecVertex[outLevelCycle_VertexOnMesh.front()].adjEdges[i]].v1 == outLevelCycle_VertexOnMesh.back())
// // {
// // outLevelCycle_EdgeOnMesh.push_back(inMeshPtr->vecVertex[outLevelCycle_VertexOnMesh.front()].adjEdges[i]);
// // break;
// // }
// // }
// // // add the first vertex into the back to close the loop
// // outLevelCycle_VertexOnMesh.push_back(outLevelCycle_VertexOnMesh.front());
// //}
// //
// return;
//}
//void MapLoopsBackToMeshLevelSetAndArc::ComputeLevelCycle()
//{
// // preq: both level cycle and arc cycle , point and pointType are initialized
// // critical point
// int crit_vertex_a = _arcCyclePointTypePtr->front().first;
// int crit_vertex_b = _arcCyclePointTypePtr->back().first;
// //
// std::set<int> processed_vertex;
// std::set<int>::iterator findIter;
// //
// int pot_vertex = 0;
// // boundary check is done YET !!!!!!!!!!!!!!!
// for (unsigned int i = 0; i < _levelCyclePointTypePtr->size() - 1; i++)
// {
// if (outLevelCycle_VertexOnMesh.size() == 53)
// i = i;
// if ((*_levelCyclePointTypePtr)[i].second)
// {// this is an edge type vertex
// pot_vertex = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v0;
// //
// if (i != 0 && pot_vertex == outLevelCycle_VertexOnMesh.back())
// continue;
// findIter = processed_vertex.find(pot_vertex);
//
// if (findIter != processed_vertex.end())
// {
// pot_vertex = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v1;
// findIter = processed_vertex.find(pot_vertex);
// }
// else
// {
// //
// if (inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v1 == crit_vertex_a ||
// inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v1 == crit_vertex_b)
// {
//
// findIter = processed_vertex.find(inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v1);
// if (findIter == processed_vertex.end())
// pot_vertex = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v1;
// }
// }
// //
// if (i != 0 && pot_vertex == outLevelCycle_VertexOnMesh.back())
// continue;
// // check if this vertex is there or not
// // if it is there, ignore it
// // otherwise, push it
// //
// //findIter = processed_vertex.find(pot_vertex);
// if (i == 0 || pot_vertex != outLevelCycle_VertexOnMesh.back())//findIter == processed_vertex.end())
// {
// processed_vertex.insert(pot_vertex);
// //
// outLevelCycle_VertexOnMesh.push_back(pot_vertex);
// //
// if (i != 0)
// {// find the edge connecting (i-1)--(i)
// // First, if the (i-1)-vertex is on the edge, as the other vertex of this edge is taken
// // so the edge connecting (i-1)--(i) is just the processing edge
// if (inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v0 == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2] ||
// inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v1 == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2] )
// {
// outLevelCycle_EdgeOnMesh.push_back((*_levelCyclePointTypePtr)[i].first);
// }
// else
// {
// // find the triangle first containing the edge and prev vertex
// int triangle_id = 0;
// for (unsigned int nTri = 0; nTri < 1; nTri++)
// {
// int tot_sum = inMeshPtr->vecTriangle[inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri]].v0 +
// inMeshPtr->vecTriangle[inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri]].v1 +
// inMeshPtr->vecTriangle[inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri]].v2;
// int tot_edge_sum = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v0 +
// inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].v1;
//
// if (tot_sum - tot_edge_sum == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2])
// {
// triangle_id = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri];
// }
// else
// {
// triangle_id = inMeshPtr->vecEdge[(*_levelCyclePointTypePtr)[i].first].AdjTri[nTri + 1];
// }
// }
// //
// int edge_vec[3] = {inMeshPtr->vecTriangle[triangle_id].e01, inMeshPtr->vecTriangle[triangle_id].e02,
// inMeshPtr->vecTriangle[triangle_id].e12};
// for (int eid = 0; eid < 3; eid++)
// {
// if (( inMeshPtr->vecEdge[edge_vec[eid]].v0 == pot_vertex ||
// inMeshPtr->vecEdge[edge_vec[eid]].v1 == pot_vertex) &&
// (inMeshPtr->vecEdge[edge_vec[eid]].v0 == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2] ||
// inMeshPtr->vecEdge[edge_vec[eid]].v1 == outLevelCycle_VertexOnMesh[outLevelCycle_VertexOnMesh.size() - 2]))
// {
// outLevelCycle_EdgeOnMesh.push_back(edge_vec[eid]);
// break;
// }
// }
// //
// }
// }// if findIter
// //
//