142 lines
5.1 KiB
C++
142 lines
5.1 KiB
C++
/****************************************************************************
|
|
* VCGLib o o *
|
|
* Visual and Computer Graphics Library o o *
|
|
* _ O _ *
|
|
* Copyright(C) 2004 \/)\/ *
|
|
* Visual Computing Lab /\/| *
|
|
* ISTI - Italian National Research Council | *
|
|
* \ *
|
|
* All rights reserved. *
|
|
* *
|
|
* This program is free software; you can redistribute it and/or modify *
|
|
* it under the terms of the GNU General Public License as published by *
|
|
* the Free Software Foundation; either version 2 of the License, or *
|
|
* (at your option) any later version. *
|
|
* *
|
|
* This program is distributed in the hope that it will be useful, *
|
|
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
|
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
|
* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
|
|
* for more details. *
|
|
* *
|
|
****************************************************************************/
|
|
|
|
#ifndef __VCGLIB_PLANAR_POLYGON_TESSELLATOR
|
|
#define __VCGLIB_PLANAR_POLYGON_TESSELLATOR
|
|
|
|
#include <assert.h>
|
|
#include <vcg/space/segment2.h>
|
|
#include <vcg/math/random_generator.h>
|
|
|
|
namespace vcg {
|
|
|
|
/** \addtogroup space */
|
|
/*@{*/
|
|
/**
|
|
A very simple earcut tessellation of planar 2D polygon.
|
|
Input: a vector or Point2<>
|
|
Output: a vector of faces as a triple of indices to the input vector
|
|
*/
|
|
template <class ScalarType>
|
|
bool Cross( const Point2<ScalarType> & p00,
|
|
const Point2<ScalarType> & p01,
|
|
const Point2<ScalarType> & p10,
|
|
const Point2<ScalarType> & p11)
|
|
{
|
|
Point2<ScalarType> vec0 = p01-p00;
|
|
Point2<ScalarType> vec1 = p11-p10;
|
|
if ( ( vec0^ (p11-p00)) * ( vec0^ (p10 - p00)) >=0) return false;
|
|
if ( ( vec1^ (p01-p10)) * ( vec1^ (p00 - p10)) >=0) return false;
|
|
return true;
|
|
}
|
|
|
|
template <class S>
|
|
bool Intersect(size_t cur , int v2, std::vector<int> & next, std::vector<Point2<S> > & points2){
|
|
for(size_t i = 0; i < points2.size();++i)
|
|
if( (next[i]!=-1) && (i!=cur))
|
|
if( Cross(points2[cur], points2[v2],points2[i],points2[next[i]]))
|
|
return true;
|
|
return false;
|
|
}
|
|
|
|
|
|
template <class POINT_CONTAINER>
|
|
void TessellatePlanarPolygon2( POINT_CONTAINER & points2, std::vector<int> & output){
|
|
typedef typename POINT_CONTAINER::value_type Point2x;
|
|
typedef typename Point2x::ScalarType S;
|
|
// tessellate
|
|
// first very inefficient implementation
|
|
std::vector<int> next,prev;
|
|
for(size_t i = 0; i < points2.size(); ++i) next.push_back((i+1)%points2.size());
|
|
for(size_t i = 0; i < points2.size(); ++i) prev.push_back((i+points2.size()-1)%points2.size());
|
|
int v1,v2;
|
|
// check orientation
|
|
S orient = 0.0;
|
|
for(size_t i = 0 ; i < points2.size(); ++i){
|
|
v1 = next[i];
|
|
v2 = next[v1];
|
|
orient+= (points2[v1] - points2[0]) ^ (points2[v2] - points2[0]);
|
|
}
|
|
orient = (orient>0)? 1.0:-1.0;
|
|
|
|
int cur = 0;
|
|
while(output.size()<3*(points2.size()-2)){
|
|
v1 = next[cur];
|
|
v2 = next[v1];
|
|
if( ( (orient*((points2[v1] - points2[cur]) ^ (points2[v2] - points2[cur]))) >= 0.0) &&
|
|
!Intersect(cur, v2,next,points2))
|
|
{
|
|
// output the face
|
|
output.push_back(cur);
|
|
output.push_back(v1);
|
|
output.push_back(v2);
|
|
|
|
// readjust the topology
|
|
next[cur] = v2;
|
|
prev[v2] = cur;
|
|
prev[v1] = -1;//unnecessary
|
|
next[v1] = -1;//unnecessary
|
|
}
|
|
else
|
|
do{cur = (cur+1)%points2.size();} while(next[cur]==-1);
|
|
}
|
|
}
|
|
|
|
/**
|
|
A very simple earcut tessellation of planar 2D polygon.
|
|
Input: a vector or Point3<>
|
|
Output: a vector of faces as a triple of indices to the input vector
|
|
|
|
*/
|
|
|
|
template <class POINT_CONTAINER>
|
|
void TessellatePlanarPolygon3( POINT_CONTAINER & points, std::vector<int> & output){
|
|
typedef typename POINT_CONTAINER::value_type Point3x;
|
|
typedef typename Point3x::ScalarType S;
|
|
Point3x n;
|
|
|
|
math::SubtractiveRingRNG rg;
|
|
size_t i12[2];
|
|
S bestsn = -1.0;
|
|
Point3x bestn,u,v;
|
|
for(size_t i =0; i < points.size();++i){
|
|
for(size_t j = 0; j < 2; ++j){ i12[j] = i; while(i12[j]==i) i12[j] = rg.generate(points.size()-1);}
|
|
n = (points[i12[0]]-points[i])^(points[i12[1]]-points[i]);
|
|
S sn = n.SquaredNorm();
|
|
if(sn > bestsn){ bestsn = sn; bestn = n;}
|
|
}
|
|
|
|
GetUV(n,u,v);
|
|
// project the coordinates
|
|
std::vector<Point2<S> > points2;
|
|
for(size_t i = 0; i < points.size(); ++i){
|
|
Point3x & p = points[i];
|
|
points2.push_back(Point2<S>(p*u,p*v));
|
|
}
|
|
TessellatePlanarPolygon2( points2,output);
|
|
}
|
|
|
|
/*@}*/
|
|
} // end namespace
|
|
#endif
|