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657 | #include "meshkit/Tri2Quad.hpp"
#include "meshkit/StopWatch.hpp"
using namespace Jaal;
///////////////////////////////////////////////////////////////////////////////
int Tri2Quads::verify(Mesh *mesh, const vector<FacePair> &matching)
{
int relexist2 = mesh->build_relations(0, 2);
// This is the Graph matching verification. It is useful to verify the
// matching, if done by other algorithms.
size_t numfaces = mesh->getSize(2);
for (size_t i = 0; i < numfaces; i++) {
Face * f = mesh->getFaceAt(i);
f->setVisitMark(0);
}
FaceSequence faceneighs;
size_t nsize = matching.size();
for (size_t i = 0; i < nsize; i++) {
size_t f1 = matching[i].first;
size_t f2 = matching[i].second;
assert(f1 != f2);
if (f1 < f2) {
Face *f0 = mesh->getFaceAt(f1);
Face *f1 = mesh->getFaceAt(f2);
f0->getRelations12( faceneighs );
if (find(faceneighs.begin(), faceneighs.end(), f1) == faceneighs.end()) {
cout << "Error: Face matching error: faces not neighbors " << endl;
exit(0);
return 1;
}
assert(!f0->isVisited());
assert(!f1->isVisited());
f0->setVisitMark(1);
f1->setVisitMark(1);
}
}
for (size_t i = 0; i < numfaces; i++) {
Face * f = mesh->getFaceAt(i);
(void)f;
assert(f->isVisited());
}
if( !relexist2 ) mesh->clear_relations(0,2 );
return 0;
}
///////////////////////////////////////////////////////////////////////////////
Mesh* Tri2Quads::collapse_matched_triangles(Mesh *trimesh, const vector<FacePair> &matching,
int replace)
{
#ifdef DEBUG
if(Tri2Quads::verify(trimesh, matching) != 0) return NULL;
cout << " Verification Done " << endl;
#endif
Mesh *quadmesh = new Mesh;
size_t nsize = matching.size();
assert( nsize );
Face *tri1, *tri2, *quad;<--- The scope of the variable 'tri1' can be reduced.<--- The scope of the variable 'tri2' can be reduced.<--- The scope of the variable 'quad' can be reduced.
NodeSequence tnodes;
trimesh->getNodes( tnodes );
quadmesh->addNodes(tnodes );
quadmesh->reserve( nsize, 2 );
for (size_t i = 0; i < nsize; i++) {
size_t f1 = matching[i].first;
size_t f2 = matching[i].second;
tri1 = trimesh->getFaceAt(f1);
tri2 = trimesh->getFaceAt(f2);
quad = Face::create_quad(tri1, tri2, replace);
quadmesh->addFace(quad);
if (replace) delete tri2;
}
if (replace) trimesh->emptyAll();
return quadmesh;
}
///////////////////////////////////////////////////////////////////////////////
int Tri2Quads::refine_boundary_triangle(Face *tri0)
{
if (tri0->getSize(0) != 3)
return 1;
Vertex *bv0 = NULL;
Vertex *bv1 = NULL;
Vertex *bv2 = NULL;
for (int i = 0; i < 3; i++) {
Vertex *ev1 = tri0->getNodeAt(i + 1);
Vertex *ev2 = tri0->getNodeAt(i + 2);
if (ev1->isBoundary() && ev2->isBoundary()) {
bv0 = ev1;
bv1 = ev2;
bv2 = tri0->getNodeAt(i);
break;
}
}
if (bv0 == NULL || bv1 == NULL)
return 2;
Point3D p3d;
Vertex::mid_point(bv0, bv1, p3d);
Vertex *bound = Vertex::newObject();
bound->setXYZCoords(p3d);
trimesh->addNode(bound);
NodeSequence tconnect(3);
tconnect[0] = bv0;
tconnect[1] = bound;
tconnect[2] = bv2;
tri0->setNodes(tconnect);
tconnect[0] = bound;
tconnect[1] = bv1;
tconnect[2] = bv2;
maxfaceID++;
Face *tri1 = Face::newObject();
tri1->setID(maxfaceID);
tri1->setNodes(tconnect);
trimesh->addFace(tri1);
steinerNodes.push_back(bound);
FacePair facepair;
facepair.first = tri0->getID();
facepair.second = tri1->getID();
facematching.push_back(facepair);
return 0;
}
///////////////////////////////////////////////////////////////////////////////////
void Tri2Quads::splitParent(BinaryNode *parent, BinaryNode *child1,
BinaryNode *child2)
{
Vertex* dnode = NULL;
dnode = parent->getDualNode();
Face *parentface = NULL;
dnode->getAttribute("PrimalFace", parentface);
dnode = child1->getDualNode();
Face *face1 = NULL;
dnode->getAttribute("PrimalFace", face1);
dnode = child2->getDualNode();
Face *face2 = NULL;
dnode->getAttribute("PrimalFace", face2);
NodeSequence connect(3);
// Remove all existing vertex-face relations;
Vertex *vertex;
for (int i = 0; i < 3; i++) {
vertex = parentface->getNodeAt(i);
vertex->clearRelations(2);
vertex = face1->getNodeAt(i);
vertex->clearRelations(2);
vertex = face2->getNodeAt(i);
vertex->clearRelations(2);
}
// Rebuild vertex-face relations...
for (int i = 0; i < 3; i++) {
vertex = parentface->getNodeAt(i);
vertex->addRelation(parentface);
vertex = face1->getNodeAt(i);
vertex->addRelation(face1);
vertex = face2->getNodeAt(i);
vertex->addRelation(face2);
}
dnode = NULL;
parentface->getAttribute("DualNode", dnode);
Vertex *steiner = dnode->getClone();
steiner->setID(parentface->getID());
trimesh->addNode(steiner);
steinerNodes.push_back(steiner);
int edge1, edge2, edge3;
edge1 = edge2 = edge3 = -1;
FaceSequence neighs;
for (int i = 0; i < 3; i++) {
Vertex *v0 = parentface->getNodeAt(i + 1);
Vertex *v1 = parentface->getNodeAt(i + 2);
Mesh::getRelations112(v0, v1, neighs);
if (neighs.size() == 1)
edge3 = i;
if (neighs.size() == 2) {
if (find(neighs.begin(), neighs.end(), face1) != neighs.end())
edge1 = i;
if (find(neighs.begin(), neighs.end(), face2) != neighs.end())
edge2 = i;
}
}
Face *qface;
Vertex *ev0, *ev1;
// Match Child1 and One of the Split Triangle ...
maxfaceID++;
ev0 = parentface->getNodeAt(edge1 + 1);
ev1 = parentface->getNodeAt(edge1 + 2);
connect[0] = steiner;
connect[1] = ev0;
connect[2] = ev1;
qface = Face::newObject();
qface->setNodes(connect);
qface->setID(maxfaceID);
Vertex *dc1 = DualGraph::getNewDualNode( qface );
dc1->setID(maxfaceID);
trimesh->addFace(qface);
steinerFaces.push_back(qface);
dnode = NULL;
face1->getAttribute("DualNode", dnode);
matchnodes( dnode, dc1);
BinaryNode *bnode1 = new BinaryNode(dc1);
bnode1->setMatchMark(1);
bnode1->setParent(parent);
bnode1->addChild(child1);
btree->addNode(bnode1);
// Match Child2 and One of the Split Triangle ...
maxfaceID++;
ev0 = parentface->getNodeAt(edge2 + 1);
ev1 = parentface->getNodeAt(edge2 + 2);
connect[0] = steiner;
connect[1] = ev0;
connect[2] = ev1;
qface = Face::newObject();
qface->setID(maxfaceID);
qface->setNodes(connect);
Vertex *dc2 = DualGraph::getNewDualNode( qface );
dc2->setID(maxfaceID);
trimesh->addFace(qface);
steinerFaces.push_back(qface);
dnode = NULL;
face2->getAttribute( "DualNode", dnode);
matchnodes( dnode, dc2);
BinaryNode *bnode2 = new BinaryNode(dc2);
bnode2->setMatchMark(1);
bnode2->setParent(parent);
bnode2->addChild(child2);
btree->addNode(bnode2);
// Now Parent have different connectivity ...
ev0 = parentface->getNodeAt(edge3 + 1);
ev1 = parentface->getNodeAt(edge3 + 2);
connect[0] = steiner;
connect[1] = ev0;
connect[2] = ev1;
parentface->setNodes(connect);
Point3D p3d;
parentface->getAvgPos( p3d );
Vertex *dc3 = NULL;
parentface->getAttribute("DualNode", dc3);
dc3->setXYZCoords(p3d);
parent->addChild(bnode1);
parent->addChild(bnode2);
modifiedFaces.push_back(parentface);
for (int i = 0; i < 3; i++) {
vertex = parentface->getNodeAt(i);
vertex->clearRelations(2);
vertex = face1->getNodeAt(i);
vertex->clearRelations(2);
vertex = face2->getNodeAt(i);
vertex->clearRelations(2);
}
child1->setMatchMark(1);
child2->setMatchMark(1);
btree->removeNode(child1);
btree->removeNode(child2);
}
////////////////////////////////////////////////////////////////////////////////
void Tri2Quads::matchnode(BinaryNode* v)
{
BinaryNode *parv = v->getParent();
if (parv == NULL)
return;
int degree = parv->getDegree();
if (parv->isRoot() && degree == 2) {
BinaryNode *vsib = v->getSibling();
splitParent(parv, v, vsib);
return;
}
if (degree == 1 || degree == 2) {
matchnodes(v, parv);
return;
}
if (degree == 3) {
if (required_topology == ALL_QUADS) {
BinaryNode *vsib = v->getSibling();
splitParent(parv, v, vsib);
return;
}
BinaryNode *vsib = v->getSibling();
Vertex *d0 = v->getDualNode();
Vertex *d1 = vsib->getDualNode();
if (d0->getNumRelations(0) < d1->getNumRelations(0)) {
matchnodes(v, parv);
btree->unlinkNode(vsib);
} else {
matchnodes(vsib, parv);
btree->unlinkNode(v);
}
}
}
///////////////////////////////////////////////////////////////////////////////
BinaryNode* Tri2Quads::getChildofDegreeNParent(BNodeList &levelnodes,
int nd)
{
BinaryNode *currnode, *parent, *child;
int ncount;
BNodeList::const_iterator it;
for (it = levelnodes.begin(); it != levelnodes.end(); ++it) {
currnode = *it;
parent = currnode->getParent();
if (parent) {
if (!parent->isMatched()) {
ncount = 0;
if (parent->getParent())
ncount = 1;
for (int i = 0; i < parent->getNumChildren(); i++) {
child = parent->getChild(i);
if (!child->isMatched())
ncount++;
}
if (ncount == nd)
return currnode;
}
}
}
return NULL;
}
///////////////////////////////////////////////////////////////////////////////
BinaryNode *Tri2Quads::getNextNode(BNodeList &levelnodes)
{
BinaryNode *currnode = NULL;
if (levelnodes.empty())
return currnode;
BNodeList::iterator it;
for (it = levelnodes.begin(); it != levelnodes.end(); ++it) {
currnode = *it;
if (currnode->isMatched())
btree->unlinkNode(currnode);
}
it = remove_if(levelnodes.begin(), levelnodes.end(), already_matched);
levelnodes.erase(it, levelnodes.end());
BinaryNode *child = NULL;
// High Priority: parent having degree = 1;
child = getChildofDegreeNParent(levelnodes, 1);
if (!child)
child = getChildofDegreeNParent(levelnodes, 2);
// Low Priority: parent having degree = 3;
if (!child)
child = getChildofDegreeNParent(levelnodes, 3);
return child;
}
////////////////////////////////////////////////////////////////////////////////
void Tri2Quads::prunelevel(BNodeList &levelnodes)
{
while (1) {
BinaryNode *currnode = getNextNode(levelnodes);
if (currnode == NULL) break;
matchnode(currnode);
}
}
////////////////////////////////////////////////////////////////////////////////
void Tri2Quads::percolateup()
{
steinerNodes.clear();
steinerFaces.clear();
int height = btree->getHeight();
BNodeList levelnodes;
BNodeList::const_iterator it;
//Reset all the Matching marks to 0;
for (int i = 0; i < height; i++) {
levelnodes = btree->getLevelNodes(height - i - 1);
BinaryNode *currnode;<--- The scope of the variable 'currnode' can be reduced.
for (it = levelnodes.begin(); it != levelnodes.end(); ++it) {
currnode = *it;
currnode->setMatchMark(0);
}
}
// Start Prunning the level. At most the root will be unmatched.
for (int i = 0; i < height; i++) {
levelnodes = btree->getLevelNodes(height - i - 1);
prunelevel(levelnodes);
}
size_t numfaces = trimesh->getSize(2);
facematching.reserve(numfaces);
for (size_t i = 0; i < numfaces; i++) {
Face *face = trimesh->getFaceAt(i);
Vertex *u = NULL;
face->getAttribute("DualNode", u);
assert(u);
Vertex *v = NULL;
u->getAttribute("DualMate", v);
if (v) {
if (v->getID() > u->getID()) {
FacePair facepair;
facepair.first = u->getID();
facepair.second = v->getID();
facematching.push_back(facepair);
}
}
}
// If the root is unmatched, bring it down to a leaf and then split the
// leaf. Do this step after the triangles have been matched.
BinaryNode *root = btree->getRoot();
if (!root->isMatched()) {
#ifdef VERBOSE
cout << "Warning: Boundary Triangle modified " << endl;
#endif
Vertex *dnode = root->getDualNode();
Face *rootface = NULL;
dnode->getAttribute("PrimalFace", rootface);
refine_boundary_triangle(rootface);
}
}
///////////////////////////////////////////////////////////////////////////////
void Tri2Quads::maximum_tree_matching()
{
// In order to insert any steiner point on the boundary triangle (at the root)
// We should know which triangles and nodes are on the boundary. Therefore,
// call this function to set the boundary flags. Building the relationship
// at this stage is good as even the DualGraph construction require it.
trimesh->build_relations(0, 2);
trimesh->search_boundary();
#ifdef VERBOSE
cout << " Creating Dual Graph ... " << endl;
#endif
DualGraph *dgraph = new DualGraph;
dgraph->build(trimesh);
if (verbose)
cout << " Building Binary Tree of Dual Graph ... " << endl;
btree = new BinaryTree(dgraph);
btree->build();
btree->saveAs("btree");
#ifdef VERBOSE
cout << " Tree Matching ... " << endl;
#endif
percolateup();
// Percolateup will remove relations, so it is necessary to clear all the
// relations.
trimesh->clear_relations(0, 2);
btree->deleteAll();
dgraph->deleteAll();
delete btree;
delete dgraph;
}
///////////////////////////////////////////////////////////////////////////////
Mesh* Tri2Quads::getQuadMesh(Mesh *inmesh, int replace, int topo)
{
#ifdef DEBUG
if (inmesh->isHomogeneous() != 3) {
cout << "Warning: Input mesh is not triangular " << endl;
return NULL;
}
if (!inmesh->isSimple()) {
cout << "Warning: Input mesh is not simple, use edmonds' algorithm " << endl;
return NULL;
}
if (inmesh->getNumOfComponents() > 1) {
cout << "Warning: There are multiple components in the mesh" << endl;
cout << " Algorithm works for single component " << endl;
return NULL;
}
int euler0 = trimesh->getEulerCharacteristic();
cout << " Input Euler # : " << euler0 << endl;
cout << inmesh->saveAs( "Check.dat");
#endif
trimesh = inmesh;
required_topology = topo;
trimesh->enumerate(2);
maxfaceID = trimesh->getSize(2) - 1;
///////////////////////////////////////////////////////////////////////////
// Generate Maximum Matching on a binary tree using Suneeta's Algorithm.
// If the required topology is set to ALL_QUADS, steiner points( and new
// faces) will be inserted in the input triangle mesh. Please note that
// this implementation doesn't produces "The" optimal soluation as
// described in the original papers, and doesn't even guarantee that
// the resulting quadrilaterals will be convex. This along with other
// topological and geometric optimization are anyhow essential and
// are carried out during the "Post Processing" step. Therefore, we
// have sacrifised performance over quality in this implementation.
// Roughly we can expect that about 4-5% steiner points are inserted in
// most of the general cases.
///////////////////////////////////////////////////////////////////////////
StopWatch swatch;
swatch.start();
maximum_tree_matching();
Mesh *quadmesh = collapse_matched_triangles(trimesh, facematching, replace);
swatch.stop();
cout << "Info: Tri->Quad Elapsed Time " << swatch.getSeconds() << endl;
if( quadmesh ) {
if (!quadmesh->isSimple())
cout << "Warning: Quadrilateral Mesh is not simple " << endl;
quadmesh->enumerate(2);
if (!quadmesh->is_consistently_oriented()) {
cout << "Warning:Trying to make Quadrilateal Mesh consistently oriented " << endl;
quadmesh->make_consistently_oriented();
if (quadmesh->is_consistently_oriented())
cout << "Info: Quadrilateral Mesh is now consistently oriented: Very good " << endl;
else
cout << "Alas ! Quadrilateral Mesh is still inconsistently oriented: Check manually " << endl;
}
quadmesh->enumerate(0);
quadmesh->enumerate(2);
}
//////////////////////////////////////////////////////////////////////////
// Since Steiner points may be inserted in the mesh ( and new triangles).
// Renumber all the nodes and faces for future processing.
//////////////////////////////////////////////////////////////////////////
trimesh->enumerate(0);
trimesh->enumerate(2);
return quadmesh;
}
///////////////////////////////////////////////////////////////////////////////
void Tri2Quads::match_tree_walk(BinaryTree *btree, BinaryNode *parent)
{
//
// Brings all the internal unmatched nodes at the leaf.
//
if (parent == NULL)
return;
if (parent->isLeaf())
return;
int numChildren = parent->getNumChildren();
for (int i = 0; i < numChildren; i++) {
BinaryNode *child1 = parent->getChild(i);
if (!btree->isMatched(parent, child1)) {
int numGrandChildren = child1->getNumChildren();
for (int j = 0; j < numGrandChildren; j++) {
BinaryNode *child2 = child1->getChild(j);
if (btree->isMatched(child1, child2)) {
Vertex *np = parent->getDualNode();
assert(np);
Vertex *c1 = child1->getDualNode();
assert(c1);
Vertex *c2 = child2->getDualNode();
assert(c2);
matchnodes(np, c1);
c2->setAttribute("DualMate", 0);
c2->setStatus(MeshEntity::ACTIVE);
match_tree_walk(btree, child2);
return;
}
}
}
}
}
///////////////////////////////////////////////////////////////////////////////
|