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feature.cpp
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//------------------------------------------------------------------------------
//
// feature.cpp
//
//------------------------------------------------------------------------------
#include <iostream>
#include <stack>
#include <queue>
#include <cmath>
#include <cassert>
using namespace std;
#include "common.h"
#include "ui.h"
//------------------------------------------------------------------------------
// Functions for vertices
//------------------------------------------------------------------------------
double centralAngle( Vertex_handle & vh )
{
#ifdef OLD
double oldsum = 0.0;
Halfedge_vertex_circulator hvc = vh->vertex_begin();
do {
Point3 pointL = hvc->opposite()->vertex()->point();
Point3 pointC = vh->point();
Point3 pointR = hvc->next()->vertex()->point();
// cerr << "pointL = " << hvc->opposite()->vertex()->id() << " : " << pointL << endl;
// cerr << "pointC = " << vh->id() << " : " << pointC << endl;
// cerr << "pointR = " << hvc->next()->vertex()->id() << " : " << pointR << endl;
Vector3 wingL = pointL - pointC;
Vector3 wingR = pointR - pointC;
double lengthL = sqrt( wingL.squared_length() );
double lengthR = sqrt( wingR.squared_length() );
double innerProd = ( wingL * wingR ) / ( lengthL*lengthR );
oldsum += acos( innerProd );
} while ( ++hvc != vh->vertex_begin() );
#endif // OLD
double sum_in_radian = 0.0;
Halfedge_vertex_circulator hvc = vh->vertex_begin();
do {
Point3 pointR = hvc->opposite()->vertex()->point();
Point3 pointC = vh->point();
Point3 pointL = (--hvc)->opposite()->vertex()->point();
#ifdef MYDEBUG
cerr << "pointR = " << pointR << endl;
cerr << "pointC = " << pointC << endl;
cerr << "pointL = " << pointL << endl;
#endif // MYDEBUG
Vector3 wingL = pointL - pointC;
Vector3 wingR = pointR - pointC;
double lengthL = sqrt( wingL.squared_length() );
double lengthR = sqrt( wingR.squared_length() );
double innerProd = ( wingL * wingR ) / ( lengthL*lengthR );
sum_in_radian += acos( innerProd );
} while ( hvc != vh->vertex_begin() );
return ( sum_in_radian );
}
bool isPeak( Vertex_handle & vh )
{
const double peakAngle = M_PI;
double radian = centralAngle( vh );
if ( radian < peakAngle ) {
return TRUE;
}
else {
return FALSE;
}
}
bool isSaddle( Vertex_handle & vh )
{
const double eps = 1.0e-4;
const double flatAngle = 2.0 * M_PI + eps;
double radian = centralAngle( vh );
if ( radian > flatAngle ) {
return TRUE;
}
else {
return FALSE;
}
}
//------------------------------------------------------------------------------
// Functions for half edges
//------------------------------------------------------------------------------
double evalConvexity( const Halfedge_handle & hh )
{
#ifdef OLD
Halfedge_handle hhL, hhR, hhC, hhO;
hhC = hh;
hhO = hhC->opposite();
Vector3 vecC = hhC->opposite()->vertex()->point() - hhC->mid();
Vector3 vecL = hhC->facet()->center() - hhC->mid();
Vector3 vecR = hhO->facet()->center() - hhO->mid();
Vector3 nmL = cross_product( vecC, vecL );
Vector3 nmR = cross_product( vecR, vecC );
nmL = nmL / sqrt( nmL.squared_length() );
nmR = nmR / sqrt( nmR.squared_length() );
Vector3 orient = cross_product( nmR, nmL );
double signdir = orient * vecC;
double innerProd = nmL * nmR;
double sineAngle = sqrt( 1.0 - innerProd*innerProd );
if ( signdir < 0 ) sineAngle *= ( -1.0 );
return sineAngle;
#endif // OLD
Halfedge_handle hhF, hhB;
hhF = hh;
hhB = hhF->opposite();
Point3 mid = hhF->mid();
Vector3 vecC = hhF->vertex()->point() - mid;
Vector3 vecL = hhF->facet()->center() - mid;
Vector3 vecR = hhB->facet()->center() - mid;
Vector3 nmL = cross_product( vecC, vecL );
Vector3 nmR = cross_product( vecR, vecC );
nmL = nmL / sqrt( nmL.squared_length() );
nmR = nmR / sqrt( nmR.squared_length() );
Vector3 orient = cross_product( nmL, nmR );
double signdir = orient * vecC;
double innerProd = nmL * nmR;
double sharpness = 0.5 * ( 1.0 - innerProd );
if ( signdir < 0 ) sharpness *= ( -1.0 );
#ifdef DEBUG
cerr << " nmL = " << nmL << endl;
cerr << " nmR = " << nmR << endl;
cerr << " innerProd = " << innerProd << endl;
cerr << " sineAngle = " << sineAngle << endl;
#endif // DEBUG
return sharpness;
// return ( fabs( sineAngle ) - 0.35 );
}
bool isConvex( const Halfedge_handle & hh )
{
double innerProd = evalConvexity( hh );
#ifdef DEBUG
const int idA = 30;
const int idB = 53;
if ( ( ( hhC->vertex()->id() == idA ) &&
( hhC->opposite()->vertex()->id() == idB ) ) ||
( ( hhC->vertex()->id() == idB ) &&
( hhC->opposite()->vertex()->id() == idA ) ) ) {
cerr << "##############################" << endl;
cerr << " hhC : " << hhC->vertex()->id() << " -- " << hhC->opposite()->vertex()->id() << " ** ";
cerr << " hhC : " << hhC->vertex()->point() << " == " << hhC->opposite()->vertex()->point() << endl;
cerr << " vecC = " << vecC << endl;
cerr << " vecL = " << vecL << endl;
cerr << " vecR = " << vecR << endl;
cerr << " nmL = " << nmL << endl;
cerr << " nmR = " << nmR << endl;
cerr << " innerProd = " << innerProd << endl;
}
#endif // DEBUG
if ( innerProd >= 0.0 ) return true;
else return false;
}
//------------------------------------------------------------------------------
// Edge weight assignement for the MST computation
//------------------------------------------------------------------------------
void uniformWeights( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// uniform weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
weight[ eID ] = 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
weightMap[ *ei ] = weight[ count++ ];
}
}
void randomWeights( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// random weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
weight[ eID ] = ( double )( rand()%20+1 )/ 20.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
//std::cout << *ei << ", ";
weightMap[ *ei ] = weight[ count++ ];
// cerr << " i = " << *ei << " weight = " << weightMap[ *ei ] << endl;
}
}
//------------------------------------------------------------------------------
//
void minimumPerimeter( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
vector< double > length( nEdges );
double minLength = 1000000.0, maxLength = -1000000.0;
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// Perimeter heuristic weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
Vector3 vec = hi->vertex()->point() - hi->opposite()->vertex()->point();
length[ eID ] = sqrt( vec.squared_length() );
if ( length[ eID ] < minLength ) minLength = length[ eID ];
if ( length[ eID ] > maxLength ) maxLength = length[ eID ];
}
cerr << " minLength = " << minLength << " maxLength = " << maxLength << endl;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( length[ eID ] > 0.0 );
weight[ eID ] = 2.0 * ( maxLength - length[ eID ] ) / ( maxLength - minLength ) - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
//std::cout << *ei << ", ";
weightMap[ *ei ] = weight[ count++ ];
// cerr << " i = " << *ei << " weight = " << weightMap[ *ei ] << endl;
}
}
void maximumPerimeter( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
vector< double > length( nEdges );
double minLength = 1000000.0, maxLength = -1000000.0;
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// Perimeter heuristic weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
Vector3 vec = hi->vertex()->point() - hi->opposite()->vertex()->point();
length[ eID ] = sqrt( vec.squared_length() );
if ( length[ eID ] < minLength ) minLength = length[ eID ];
if ( length[ eID ] > maxLength ) maxLength = length[ eID ];
}
cerr << " minLength = " << minLength << " maxLength = " << maxLength << endl;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( length[ eID ] > 0.0 );
weight[ eID ] = 2.0 * ( length[ eID ] - minLength ) / ( maxLength - minLength ) - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
//std::cout << *ei << ", ";
weightMap[ *ei ] = weight[ count++ ];
// cerr << " i = " << *ei << " weight = " << weightMap[ *ei ] << endl;
}
}
//------------------------------------------------------------------------------
//
void flatSpanning( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
static Vector3 orient( 0.0, 0.0, 1.0 );
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// flat spanning heuristic weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
Vector3 vec = hi->vertex()->point() - hi->opposite()->vertex()->point();
weight[ eID ] = 2.0 * fabs( orient * vec )/sqrt( vec.squared_length() ) - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
for ( unsigned int i = 0; i < nEdges; ++i ) {
assert( ( 0.0 <= weight[ i ] ) && ( weight[ i ] <= 1.0 ) );
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
//std::cout << *ei << ", ";
weightMap[ *ei ] = weight[ count++ ];
// cerr << " i = " << *ei << " weight = " << weightMap[ *ei ] << endl;
}
}
void coilSpanning( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
static Vector3 orient( 0.0, 0.0, 1.0 );
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// flat spanning heuristic weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
Vector3 vec = hi->vertex()->point() - hi->opposite()->vertex()->point();
weight[ eID ] = 1.0 - 2.0 * fabs( orient * vec )/sqrt( vec.squared_length() );
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
for ( unsigned int i = 0; i < nEdges; ++i ) {
assert( ( 0.0 <= weight[ i ] ) && ( weight[ i ] <= 1.0 ) );
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
//std::cout << *ei << ", ";
weightMap[ *ei ] = weight[ count++ ];
// cerr << " i = " << *ei << " weight = " << weightMap[ *ei ] << endl;
}
}
//------------------------------------------------------------------------------
//
// Flat regions are more likely to be split
void minimumDihedral( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
static Vector3 orient( 0.0, 0.0, 1.0 );
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// flat spanning heuristic weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
Point3 midE = hi->mid();
Point3 cenFL = hi->facet()->center();
Point3 cenFR = hi->opposite()->facet()->center();
Vector3 vecL = cenFL - midE;
Vector3 vecR = cenFR - midE;
double iprod = ( vecL * vecR )/sqrt( vecL.squared_length() * vecR.squared_length() );
weight[ eID ] = 1.0 - iprod;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
for ( unsigned int i = 0; i < nEdges; ++i ) {
assert( ( 0.0 <= weight[ i ] ) && ( weight[ i ] <= 1.0 ) );
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
//std::cout << *ei << ", ";
weightMap[ *ei ] = weight[ count++ ];
// cerr << " i = " << *ei << " weight = " << weightMap[ *ei ] << endl;
}
}
// Sharp regions are more likely to be split
void maximumDihedral( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
static Vector3 orient( 0.0, 0.0, 1.0 );
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// flat spanning heuristic weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
Point3 midE = hi->mid();
Point3 cenFL = hi->facet()->center();
Point3 cenFR = hi->opposite()->facet()->center();
Vector3 vecL = cenFL - midE;
Vector3 vecR = cenFR - midE;
double iprod = ( vecL * vecR )/sqrt( vecL.squared_length() * vecR.squared_length() );
weight[ eID ] = iprod + 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
for ( unsigned int i = 0; i < nEdges; ++i ) {
assert( ( 0.0 <= weight[ i ] ) && ( weight[ i ] <= 1.0 ) );
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
//std::cout << *ei << ", ";
weightMap[ *ei ] = weight[ count++ ];
// cerr << " i = " << *ei << " weight = " << weightMap[ *ei ] << endl;
}
}
//------------------------------------------------------------------------------
//
void minimumBlending( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
vector< double > length( nEdges );
double minLength = 1000000.0, maxLength = -1000000.0;
vector< double > prod( nEdges );
static Vector3 orient( 0.0, 0.0, 1.0 );
const double weightP = 0.5, weightF = 0.5;
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// Perimeter heuristic weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
Vector3 vec = hi->vertex()->point() - hi->opposite()->vertex()->point();
length[ eID ] = sqrt( vec.squared_length() );
if ( length[ eID ] < minLength ) minLength = length[ eID ];
if ( length[ eID ] > maxLength ) maxLength = length[ eID ];
prod[ eID ] = fabs( orient * vec )/sqrt( vec.squared_length() );
}
cerr << " minLength = " << minLength << " maxLength = " << maxLength << endl;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( length[ eID ] > 0.0 );
weight[ eID ] =
weightP * ( maxLength - length[ eID ] ) / ( maxLength - minLength ) +
weightF * prod[ eID ];
weight[ eID ] = 2.0 * weight[ eID ] - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
//std::cout << *ei << ", ";
weightMap[ *ei ] = weight[ count++ ];
// cerr << " i = " << *ei << " weight = " << weightMap[ *ei ] << endl;
}
}
void maximumBlending( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
vector< double > weight( nEdges );
vector< double > length( nEdges );
double minLength = 1000000.0, maxLength = -1000000.0;
vector< double > prod( nEdges );
static Vector3 orient( 0.0, 0.0, 1.0 );
const double weightP = 0.5, weightF = 0.5;
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// Perimeter heuristic weights
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
Vector3 vec = hi->vertex()->point() - hi->opposite()->vertex()->point();
length[ eID ] = sqrt( vec.squared_length() );
if ( length[ eID ] < minLength ) minLength = length[ eID ];
if ( length[ eID ] > maxLength ) maxLength = length[ eID ];
prod[ eID ] = fabs( orient * vec )/sqrt( vec.squared_length() );
}
cerr << " minLength = " << minLength << " maxLength = " << maxLength << endl;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( length[ eID ] > 0.0 );
weight[ eID ] =
weightP * ( length[ eID ] - minLength ) / ( maxLength - minLength ) +
weightF * prod[ eID ];
weight[ eID ] = 2.0 * weight[ eID ] - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
//std::cout << *ei << ", ";
weightMap[ *ei ] = weight[ count++ ];
// cerr << " i = " << *ei << " weight = " << weightMap[ *ei ] << endl;
}
}
//------------------------------------------------------------------------------
//
void minimumCurvature( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
unsigned int nVertices = num_vertices( dual );
// unsigned int nEdges = poly.size_of_halfedges() / 2;
// unsigned int nVertices = poly.size_of_vertices();
vector< double > angle( nVertices );
vector< double > rep( nEdges );
vector< double > weight( nEdges );
double minRep = 100000.0, maxRep = 0.0;
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// Curvature heuristic weights
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
unsigned int vID = vi->id();
assert( vID < nVertices );
angle[ vID ] = centralAngle( vi );
}
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( eID < nEdges );
unsigned int vIDA = hi->vertex()->id();
unsigned int vIDB = hi->opposite()->vertex()->id();
assert( vIDA < nVertices );
assert( vIDB < nVertices );
rep[ eID ] = 0.5 * ( angle[ vIDA ] + angle[ vIDB ] );
// rep[ eID ] = MAX2( angle[ vIDA ], angle[ vIDB ] );
if ( rep[ eID ] < minRep ) minRep = rep[ eID ];
if ( rep[ eID ] > maxRep ) maxRep = rep[ eID ];
}
cerr << " minRep = " << minRep << " maxRep = " << maxRep << endl;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( rep[ eID ] >= 0.0 );
assert( eID < nEdges );
weight[ eID ] = 2.0 * ( rep[ eID ] - minRep ) / ( maxRep - minRep ) - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
weightMap[ *ei ] = weight[ count++ ];
}
angle.clear();
rep.clear();
weight.clear();
}
void maximumCurvature( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
unsigned int nVertices = num_vertices( dual );
// unsigned int nEdges = poly.size_of_halfedges() / 2;
// unsigned int nVertices = poly.size_of_vertices();
vector< double > angle( nVertices );
vector< double > rep( nEdges );
vector< double > weight( nEdges );
double minRep = 100000.0, maxRep = 0.0;
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// Curvature heuristic weights
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
unsigned int vID = vi->id();
assert( vID < nVertices );
angle[ vID ] = centralAngle( vi );
}
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( eID < nEdges );
unsigned int vIDA = hi->vertex()->id();
unsigned int vIDB = hi->opposite()->vertex()->id();
assert( vIDA < nVertices );
assert( vIDB < nVertices );
// rep[ eID ] = 0.5 * ( angle[ vIDA ] + angle[ vIDB ] );
rep[ eID ] = MAX2( angle[ vIDA ], angle[ vIDB ] );
if ( rep[ eID ] < minRep ) minRep = rep[ eID ];
if ( rep[ eID ] > maxRep ) maxRep = rep[ eID ];
}
cerr << " minRep = " << minRep << " maxRep = " << maxRep << endl;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( rep[ eID ] >= 0.0 );
assert( eID < nEdges );
weight[ eID ] = 2.0 * ( maxRep - rep[ eID ] ) / ( maxRep - minRep ) - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
weightMap[ *ei ] = weight[ count++ ];
}
angle.clear();
rep.clear();
weight.clear();
}
//------------------------------------------------------------------------------
//
void minimumConcavity( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
// unsigned int nVertices = num_vertices( dual );
// unsigned int nEdges = poly.size_of_halfedges() / 2;
// unsigned int nVertices = poly.size_of_vertices();
vector< double > weight( nEdges );
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( eID < nEdges );
weight[ eID ] = evalConvexity( hi );
}
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( eID < nEdges );
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
weightMap[ *ei ] = weight[ count++ ];
}
weight.clear();
}
void maximumConcavity( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
// unsigned int nVertices = num_vertices( dual );
// unsigned int nEdges = poly.size_of_halfedges() / 2;
// unsigned int nVertices = poly.size_of_vertices();
vector< double > weight( nEdges );
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( eID < nEdges );
weight[ eID ] = evalConvexity( hi );
}
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( eID < nEdges );
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
weightMap[ *ei ] = weight[ count++ ];
}
weight.clear();
}
//------------------------------------------------------------------------------
//
void minimumHyperbolicAve( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
unsigned int nVertices = num_vertices( dual );
// unsigned int nEdges = poly.size_of_halfedges() / 2;
// unsigned int nVertices = poly.size_of_vertices();
vector< double > angle( nVertices );
vector< double > rep( nEdges );
vector< double > weight( nEdges );
double minRep = 100000.0, maxRep = 0.0;
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// Curvature heuristic weights
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
unsigned int vID = vi->id();
assert( vID < nVertices );
angle[ vID ] = centralAngle( vi );
}
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( eID < nEdges );
unsigned int vIDA = hi->vertex()->id();
unsigned int vIDB = hi->opposite()->vertex()->id();
assert( vIDA < nVertices );
assert( vIDB < nVertices );
rep[ eID ] = 0.5 * ( angle[ vIDA ] + angle[ vIDB ] );
// rep[ eID ] = MAX2( angle[ vIDA ], angle[ vIDB ] );
if ( rep[ eID ] < minRep ) minRep = rep[ eID ];
if ( rep[ eID ] > maxRep ) maxRep = rep[ eID ];
}
cerr << " minRep = " << minRep << " maxRep = " << maxRep << endl;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( rep[ eID ] >= 0.0 );
assert( eID < nEdges );
weight[ eID ] = 2.0 * ( rep[ eID ] - minRep ) / ( maxRep - minRep ) - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
weightMap[ *ei ] = weight[ count++ ];
}
angle.clear();
rep.clear();
weight.clear();
}
void minimumHyperbolicMax( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
unsigned int nVertices = num_vertices( dual );
// unsigned int nEdges = poly.size_of_halfedges() / 2;
// unsigned int nVertices = poly.size_of_vertices();
vector< double > angle( nVertices );
vector< double > rep( nEdges );
vector< double > weight( nEdges );
double minRep = 100000.0, maxRep = 0.0;
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// Curvature heuristic weights
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
unsigned int vID = vi->id();
assert( vID < nVertices );
angle[ vID ] = centralAngle( vi );
}
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( eID < nEdges );
unsigned int vIDA = hi->vertex()->id();
unsigned int vIDB = hi->opposite()->vertex()->id();
assert( vIDA < nVertices );
assert( vIDB < nVertices );
// rep[ eID ] = 0.5 * ( angle[ vIDA ] + angle[ vIDB ] );
rep[ eID ] = MAX2( angle[ vIDA ], angle[ vIDB ] );
if ( rep[ eID ] < minRep ) minRep = rep[ eID ];
if ( rep[ eID ] > maxRep ) maxRep = rep[ eID ];
}
cerr << " minRep = " << minRep << " maxRep = " << maxRep << endl;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( rep[ eID ] >= 0.0 );
assert( eID < nEdges );
weight[ eID ] = 2.0 * ( rep[ eID ] - minRep ) / ( maxRep - minRep ) - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
weightMap[ *ei ] = weight[ count++ ];
}
angle.clear();
rep.clear();
weight.clear();
}
void minimumHyperbolicMin( Polyhedron & poly, Graph & dual )
{
unsigned int nEdges = num_edges( dual );
unsigned int nVertices = num_vertices( dual );
// unsigned int nEdges = poly.size_of_halfedges() / 2;
// unsigned int nVertices = poly.size_of_vertices();
vector< double > angle( nVertices );
vector< double > rep( nEdges );
vector< double > weight( nEdges );
double minRep = 100000.0, maxRep = 0.0;
// Initialization of edge connections
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
hi->connect() = false;
}
// Curvature heuristic weights
for ( Vertex_iterator vi = poly.vertices_begin(); vi != poly.vertices_end(); ++vi ) {
unsigned int vID = vi->id();
assert( vID < nVertices );
angle[ vID ] = centralAngle( vi );
}
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( eID < nEdges );
unsigned int vIDA = hi->vertex()->id();
unsigned int vIDB = hi->opposite()->vertex()->id();
assert( vIDA < nVertices );
assert( vIDB < nVertices );
// rep[ eID ] = 0.5 * ( angle[ vIDA ] + angle[ vIDB ] );
rep[ eID ] = MIN2( angle[ vIDA ], angle[ vIDB ] );
if ( rep[ eID ] < minRep ) minRep = rep[ eID ];
if ( rep[ eID ] > maxRep ) maxRep = rep[ eID ];
}
cerr << " minRep = " << minRep << " maxRep = " << maxRep << endl;
for ( Halfedge_iterator hi = poly.halfedges_begin(); hi != poly.halfedges_end(); ++hi ) {
unsigned int eID = hi->id();
assert( rep[ eID ] >= 0.0 );
assert( eID < nEdges );
weight[ eID ] = 2.0 * ( rep[ eID ] - minRep ) / ( maxRep - minRep ) - 1.0;
// Special handling
if ( hi->fixed() ) weight[ eID ] = hi->weight();
else hi->weight() = hi->opposite()->weight() = weight[ eID ];
}
EdgeIDMap weightMap = get( edge_weight, dual );
boost::graph_traits< Graph >::edge_iterator ei, ei_end;
int count = 0;
for( tie( ei, ei_end ) = edges( dual ); ei != ei_end; ++ei ) {
weightMap[ *ei ] = weight[ count++ ];
}
angle.clear();
rep.clear();
weight.clear();
}
//------------------------------------------------------------------------------
//
Segment3 closestBone( Point3 & key )
{
double minDist = 1.0e+10;
Segment3 closest;
int index = NO_INDEX;
for ( unsigned k = 0; k < refer.size(); ++k ) {
Vector3 offset = refer[ k ] - key;
double curDist = offset.squared_length();
if ( curDist < minDist ) {
minDist = curDist;
closest = bone[ k ];
index = k;
}
}
cerr << "Closest index = " << index << endl;
return closest;
}