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snake.cpp
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snake.cpp
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#include "snake.h"
#include <algorithm>
#include <fstream>
#include <float.h>
#include "stuffs.h"
#define NBHD_RADIUS 1
const double PI = 3.1415926536;
void normalize(double** array3x3);
void normalize2(double** array3x3);
void normalize3(double** array3x3);
Snake Snake::replace(Point oldpoint,Point newpoint)
//Replace the i-th point of the snake by the point p
{
Snake news=*this;
PointList list=news.getSnake();
std::replace(list.begin(),list.end(),oldpoint,newpoint);
news.setSnake(list);
list.clear();
return news;
}
//Default constructor
Snake::Snake()
{
//SnakeSize=0;
//SnakePixels=std::list<Pixel>::;
//SnakeImage=NULL;
//dynamicAllocation();
}
//Destructor
Snake::~Snake()
{
this->snake.clear();
this->shape.clear();
snakeU.clear();
snakeL.clear();
//freeAllocation();
/*int i;
for (i = 0; i < width; ++i)
{
delete[] gradient[i];
delete[] flow[i];
}
delete[] gradient;
delete[] flow;*/
}
Snake& Snake::operator=(const Snake &s)
{
this->e_balloon=s.e_balloon;
this->e_curvature=s.e_curvature;
this->e_flow=s.e_flow;
this->e_image=s.e_image;
this->e_prior=s.e_prior;
this->e_uniformity=s.e_uniformity;
this->flow=s.flow;
this->gradient=s.gradient;
this->height=s.height;
this->shape=s.shape;
this->snake=s.snake;
this->snakelength=s.snakelength;
this->useDTW=s.useDTW;
this->useSPI=s.useSPI;
this->width=s.width;
return *this;
}
void Snake::dynamicAllocation()
{
e_uniformity = new double*[3];
e_curvature = new double*[3];
e_image = new double*[3];
e_flow = new double*[3];
e_balloon = new double*[3];
e_prior = new double*[3];
for(int i=0;i<3;i++)
{
e_uniformity[i]=new double[3];
e_curvature[i]=new double[3];
e_image[i]=new double[3];
e_flow[i]=new double[3];
e_balloon[i]=new double[3];
e_prior[i]=new double[3];
}
}
void Snake::freeAllocation()
{
for(int i=0;i<3;i++)
{
delete[] e_uniformity[i];
delete[] e_curvature[i];
delete[] e_image[i];
delete[] e_flow[i];
delete[] e_balloon[i];
delete[] e_prior[i];
}
delete[] e_uniformity;
delete[] e_curvature;
delete[] e_image;
delete[] e_flow;
delete[] e_balloon;
delete[] e_prior;
}
Snake::Snake(int width, int height, double** gradient, double** flow, PointList points, PointList shape)
{
this->snake = points;
this->shape=shape;
this->gradient = gradient;
this->flow=flow;
this->width = width;
this->height = height;
// VERY IMPORTANT !!! Dynamic allocation
dynamicAllocation();
}
void Snake::initGradientFlow(const char* fileName)
{
/* Read the image */
typedef itk::ImageFileReader<ImageType> ReaderType;
ReaderType::Pointer reader = ReaderType::New();
reader->SetFileName(fileName);
reader->Update();
/* Create the gradient image */
// typedef itk::GradientMagnitudeImageFilter< ImageType, ImageType > GradientFilter;
// GradientFilter::Pointer fGrad = GradientFilter::New();
// fGrad->SetInput(reader->GetOutput());
// fGrad->Update();
typedef itk::GradientMagnitudeRecursiveGaussianImageFilter< ImageType, ImageType > GradientFilter;
GradientFilter::Pointer fGrad = GradientFilter::New();
fGrad->SetInput(reader->GetOutput());
fGrad->SetSigma(1.0);
fGrad->Update();
ImageType::Pointer imageGrad = fGrad->GetOutput();
/* Rescale to the range 0-255 */
typedef itk::RescaleIntensityImageFilter<ImageType,ImageType> RescaleFilterType2;
RescaleFilterType2::Pointer gradient0255 = RescaleFilterType2::New();
gradient0255->SetOutputMinimum( 0 );
gradient0255->SetOutputMaximum( 255 );
gradient0255->SetInput(fGrad->GetOutput());
gradient0255->Update();
/* Create the vector flow image*/
typedef itk::ApproximateSignedDistanceMapImageFilter< ImageType, ImageType > ApproximateSignedDistanceMapImageFilterType;
ApproximateSignedDistanceMapImageFilterType::Pointer fFlow = ApproximateSignedDistanceMapImageFilterType::New();
fFlow->SetInput(gradient0255->GetOutput());
fFlow->SetInsideValue(255);
fFlow->SetOutsideValue(0);
fFlow->Update();
ImageType::Pointer imageFlow = fFlow->GetOutput();
//Get the width and the height of the image
width=imageGrad->GetLargestPossibleRegion().GetSize()[0];
height=imageGrad->GetLargestPossibleRegion().GetSize()[1];
gradient = newArray(width,height);
flow = newArray(width,height);
//
ImageType::IndexType index;
for(int i=0;i<width;i++)
{
for(int j=0;j<height;j++)
{
index[0]=i;
index[1]=j;
gradient[i][j]=imageGrad->GetPixel(index);
flow[i][j]=255.0-imageFlow->GetPixel(index);
}
}
//Save the flow image
// typedef itk::ImageFileWriter<UnsignedCharImageType> WriterType;
// typedef itk::RescaleIntensityImageFilter<FloatImageType,UnsignedCharImageType> FilterType;
// FilterType::Pointer filter = FilterType::New();
// filter->SetOutputMinimum( 0 );
// filter->SetOutputMaximum( 255 );
// WriterType::Pointer writer = WriterType::New();
// filter->SetInput(fFlow->GetOutput());
// filter->Update();
// writer->SetInput(filter->GetOutput());
// writer->SetFileName("1.png");
// try
// {
// writer->Update();
// }
// catch( itk::ExceptionObject & err )
// {
// std::cerr << "ExceptionObject caught !" << std::endl;
// std::cerr << err << std::endl;
// return;
// }
}
void Snake::initGradientFlow(const char* fileName, double sigma, double threshold)
{
/* Read the image */
typedef itk::ImageFileReader<ImageType> ReaderType;
ReaderType::Pointer reader = ReaderType::New();
reader->SetFileName(fileName);
reader->Update();
typedef itk::GradientMagnitudeRecursiveGaussianImageFilter< ImageType, ImageType > GradientFilter;
GradientFilter::Pointer fGrad = GradientFilter::New();
fGrad->SetInput(reader->GetOutput());
fGrad->SetSigma(sigma);
fGrad->Update();
//save this as the gradient image for snake processing later
ImageType::Pointer imageGrad = fGrad->GetOutput();
/* Rescale to the range 0-255 */
typedef itk::RescaleIntensityImageFilter<ImageType,ImageType> RescaleFilterType2;
RescaleFilterType2::Pointer gradient0255 = RescaleFilterType2::New();
gradient0255->SetOutputMinimum( 0 );
gradient0255->SetOutputMaximum( 255 );
gradient0255->SetInput(fGrad->GetOutput());
gradient0255->Update();
/* Add a threshold filter to adjust the edges */
typedef itk::ThresholdImageFilter <ImageType> ThresholdImageFilterType;
ThresholdImageFilterType::Pointer thresholdFilter = ThresholdImageFilterType::New();
thresholdFilter->SetInput(gradient0255->GetOutput());
thresholdFilter->ThresholdOutside(0, threshold);
thresholdFilter->SetOutsideValue(255);
/* Create the vector flow image from the thresholded image */
typedef itk::ApproximateSignedDistanceMapImageFilter< ImageType, ImageType > ApproximateSignedDistanceMapImageFilterType;
ApproximateSignedDistanceMapImageFilterType::Pointer fFlow = ApproximateSignedDistanceMapImageFilterType::New();
fFlow->SetInput(thresholdFilter->GetOutput());
fFlow->SetInsideValue(0);
fFlow->SetOutsideValue(255);
fFlow->Update();
ImageType::Pointer imageFlow = fFlow->GetOutput();
//Get the width and the height of the image
width=imageGrad->GetLargestPossibleRegion().GetSize()[0];
height=imageGrad->GetLargestPossibleRegion().GetSize()[1];
gradient = newArray(width,height);
flow = newArray(width,height);
//
ImageType::IndexType index;
for(int i=0;i<width;i++)
{
for(int j=0;j<height;j++)
{
index[0]=i;
index[1]=j;
gradient[i][j]=imageGrad->GetPixel(index);
flow[i][j]=imageFlow->GetPixel(index);
}
}
}
void Snake::setGradientFlow(QImage imageGrad, QImage imageFlow)
{
//Get the width and the height of the image
int width=imageGrad.width();
int height=imageGrad.height();
gradient = newArray(width,height);
flow = newArray(width,height);
for(int i=0;i<width;i++)
{
for(int j=0;j<height;j++)
{
gradient[i][j]=imageGrad.pixelIndex(i,j);
flow[i][j]=imageFlow.pixelIndex(i,j);
}
}
}
Snake::Snake(const char* fileName)
{
initGradientFlow(fileName);
int dimensionMin=std::min(width,height);
int radius=dimensionMin/2-5;
Point p;
Point center(width/2,height/2);
PointList s;
double angle=0.314159/2; //18.0 degrees;
for(int i=0;i<40;i++)
{
p.setLocation(radius*cos(angle*i)+center.getX(),radius*sin(angle*i)+center.getY());
s.push_back(p);
}
this->snake=s;
this->shape=s;
// VERY IMPORTANT !!! Dynamic allocation
dynamicAllocation();
}
Snake::Snake(const char* fileName, double sigma, double threshold)
{
initGradientFlow(fileName,sigma,threshold);
int dimensionMin=std::min(width,height);
int radius=dimensionMin/2-5;
Point p;
Point center(width/2,height/2);
PointList s;
double angle=0.314159/2; //18.0 degrees;
for(int i=0;i<40;i++)
{
p.setLocation(radius*cos(angle*i)+center.getX(),radius*sin(angle*i)+center.getY());
s.push_back(p);
}
this->snake=s;
this->shape=s;
// VERY IMPORTANT !!! Dynamic allocation
dynamicAllocation();
}
Snake::Snake(const char* fileName, PointList shape)
{
initGradientFlow(fileName);
int dimensionMin=std::min(width,height);
int radius=dimensionMin/2-5;
Point p;
Point center(width/2,height/2);
PointList s;
double angle=2*PI/(int)shape.size();
for(int i=0;i<(int)shape.size();i++)
{
p.setLocation(radius*cos(angle*i)+center.getX(),radius*sin(angle*i)+center.getY());
s.push_back(p);
}
this->snake=s;
this->shape=shape;
// VERY IMPORTANT !!! Dynamic allocation
dynamicAllocation();
}
Snake::Snake(const char* fileName, PointList shape, double sigma, double threshold)
{
initGradientFlow(fileName,sigma,threshold);
int dimensionMin=std::min(width,height);
int radius=dimensionMin/2-5;
Point p;
Point center(width/2,height/2);
PointList s;
double angle=2*PI/(int)shape.size();
for(int i=0;i<(int)shape.size();i++)
{
p.setLocation(radius*cos(angle*i)+center.getX(),radius*sin(angle*i)+center.getY());
s.push_back(p);
}
this->snake=s;
this->shape=shape;
// VERY IMPORTANT !!! Dynamic allocation
dynamicAllocation();
}
Point Snake::get(int j)
{
PointList::iterator i=snake.begin();
std::advance(i,j);
Point p(i->getX(),i->getY());
return p;
}
bool Snake::step1(double continuityCoeff,double curvatureCoeff,double imageCoeff,double flowCoeff,double balloonCoeff)
{
bool changed=false;
Point p(0,0);
int x,y;
// compute length of original snake (used by method: f_uniformity)
this->snakelength = getsnakelength();
PointList newsnake;
// for each point of the previous snake
for(int i=0;i<(int)snake.size();i++)
{
Point prev = get((i+(int)snake.size()-1)%(int)snake.size());
Point cur = get(i);
Point next = get((i+1)%(int)snake.size());
// compute all energies
for(int dy=-1;dy<=1;dy++)
{
for(int dx=-1;dx<=1;dx++)
{
p.setLocation(cur.getX()+dx, cur.getY()+dy);
e_uniformity[1+dx][1+dy] = f_uniformity(prev,next,p);
e_curvature[1+dx][1+dy] = f_curvature(prev,p,next);
e_flow[1+dx][1+dy] = f_gflow(cur,p);
e_balloon[1+dx][1+dy] = f_balloon(prev,p,cur,next);
e_image[1+dx][1+dy] = f_image(cur,p);
}
}
// normalize energies
/*normalize(e_uniformity);
normalize(e_curvature);
normalize(e_flow);
normalize(e_balloon);*/
normalize3(e_uniformity);
normalize3(e_curvature);
normalize3(e_flow);
normalize3(e_image);
normalize3(e_balloon);
// find the point with the minimum sum of energies
double emin, e;
emin=0;
x=cur.getX();
y=cur.getY();
if(continuityCoeff >0) emin+= continuityCoeff * e_uniformity[1][1]; // internal energy
if(curvatureCoeff >0) emin+= curvatureCoeff * e_curvature[1][1]; // internal energy
if(imageCoeff >0) emin+= imageCoeff * e_image[1][1]; // external energy
if(flowCoeff >0) emin+= flowCoeff * e_flow[1][1]; // external energy
if(balloonCoeff >0) emin+= balloonCoeff * e_balloon[1][1];
for(int dy=-1;dy<=1;dy++)
{
for(int dx=-1;dx<=1;dx++)
{
e = 0;
if(continuityCoeff >0) e+= continuityCoeff * e_uniformity[1+dx][1+dy]; // internal energy
if(curvatureCoeff >0) e+= curvatureCoeff * e_curvature[1+dx][1+dy]; // internal energy
if(imageCoeff >0) e+= imageCoeff * e_image[1+dx][1+dy]; // external energy
if(flowCoeff >0) e+= flowCoeff * e_flow[1+dx][1+dy]; // external energy
if(balloonCoeff >0) e+= balloonCoeff * e_balloon[1+dx][1+dy];
if (e<emin)
{
emin=e;
x=cur.getX()+dx;
y=cur.getY()+dy;
}
}
}
// boundary check
if (x<1) x=1;
if (x>=(this->width-1)) x=this->width-2;
if (y<1) y=1;
if (y>=(this->height-1)) y=this->height-2;
// compute the returned value
if (x!=cur.getX() || y!=cur.getY())
{
changed=true;
}
// create the point in the new snake
Point p1(x,y);
newsnake.push_back(p1);
}
// new snake becomes current
this->snake.clear();
this->snake=newsnake;
return changed;
}
bool Snake::step2(double continuityCoeff,double curvatureCoeff,double imageCoeff,double flowCoeff,double balloonCoeff,double priorCoeff)
{
bool changed=false;
Point p(0,0);
double emin, e;
int x,y;
// compute length of original snake (used by method: f_uniformity)
this->snakelength = getsnakelength();
// for each point of the previous snake
for(int i=0;i<(int)snake.size();i++)
{
Point prev = get((i+(int)snake.size()-1)%(int)snake.size());
Point cur = get(i);
Point next = get((i+1)%(int)snake.size());
// compute all energies
for(int dy=-1;dy<=1;dy++)
{
for(int dx=-1;dx<=1;dx++)
{
p.setLocation(cur.getX()+dx, cur.getY()+dy);
e_uniformity[1+dx][1+dy] = f_uniformity(prev,next,p);
e_curvature[1+dx][1+dy] = f_curvature(prev,p,next);
e_flow[1+dx][1+dy] = f_gflow(cur,p);
e_balloon[1+dx][1+dy] = f_balloon(prev,p,cur,next);
e_image[1+dx][1+dy] = f_image(cur,p);
if(priorCoeff>0)
{
Snake s2=this->replace(cur,p);
e_prior[1+dx][1+dy] = s2.f_prior();
}
}
}
// normalize energies
normalize3(e_uniformity);
normalize3(e_curvature);
normalize3(e_flow);
normalize3(e_image);
normalize3(e_balloon);
if(priorCoeff>0) normalize3(e_prior);
// find the point with the minimum sum of energies
emin=0;
x=cur.getX();
y=cur.getY();
if(continuityCoeff !=0) emin+= continuityCoeff * e_uniformity[1][1]; // internal energy
if(curvatureCoeff !=0) emin+= curvatureCoeff * e_curvature[1][1]; // internal energy
if(imageCoeff !=0) emin+= imageCoeff * e_image[1][1]; // external energy
if(flowCoeff !=0) emin+= flowCoeff * e_flow[1][1]; // external energy
if(balloonCoeff !=0) emin+= balloonCoeff * e_balloon[1][1];
if(priorCoeff !=0) emin+= priorCoeff * e_prior[1][1];
for(int dy=-1;dy<=1;dy++)
{
for(int dx=-1;dx<=1;dx++)
{
e = 0;
if(continuityCoeff !=0) e+= continuityCoeff * e_uniformity[1+dx][1+dy]; // internal energy
if(curvatureCoeff !=0) e+= curvatureCoeff * e_curvature[1+dx][1+dy]; // internal energy
if(imageCoeff !=0) e+= imageCoeff * e_image[1+dx][1+dy]; // external energy
if(flowCoeff !=0) e+= flowCoeff * e_flow[1+dx][1+dy]; // external energy
if(balloonCoeff !=0) e+= balloonCoeff * e_balloon[1+dx][1+dy];
if(priorCoeff !=0) e+= priorCoeff * e_prior[1+dx][1+dy];
if (e<emin)
{
emin=e;
x=cur.getX()+dx;
y=cur.getY()+dy;
}
}
}
// boundary check
if (x<1) x=1;
if (x>=(this->width-1)) x=this->width-2;
if (y<1) y=1;
if (y>=(this->height-1)) y=this->height-2;
if (x!=cur.getX() || y!=cur.getY())
{
changed=true;
// create the point in the new snake
PointList newsnake;
Point p1(x,y);
newsnake=this->replace(cur,p1).getSnake();
this->snake.clear();
this->snake=newsnake;
newsnake.clear();
}
// compute the returned value
/*Point p1(x,y);
newsnake.push_back(p1); */
}
//this->snake=newsnake;
return changed;
}
// normalize energy matrix
void normalize(double** array3x3)
{
double sum=0;
for(int i=0;i<3;i++)
for(int j=0;j<3;j++)
sum+=std::abs(array3x3[i][j]);
if (sum==0) return;
for(int i=0;i<3;i++)
for(int j=0;j<3;j++)
array3x3[i][j]/=sum;
}
void normalize2(double** array3x3)
{
double max=0;
for(int i=0;i<3;i++)
{
for(int j=0;j<3;j++)
{
if(std::abs(array3x3[i][j])>max)
max=std::abs(array3x3[i][j]);
}
}
if (max==0) return;
for(int i=0;i<3;i++)
for(int j=0;j<3;j++)
array3x3[i][j]/=max;
}
void normalize3(double** array3x3)
{
double max=0;
double min=DBL_MAX;
for(int i=0;i<3;i++)
{
for(int j=0;j<3;j++)
{
if(std::abs(array3x3[i][j])>max)
max=std::abs(array3x3[i][j]);
if(std::abs(array3x3[i][j])<min)
min=std::abs(array3x3[i][j]);
}
}
if (max==min) return;
for(int i=0;i<3;i++)
for(int j=0;j<3;j++)
array3x3[i][j]=(array3x3[i][j]-min)/(max-min);
}
double Snake::getsnakelength()
{
// total length of snake
double length=0;
for(int i=0;i<(int)snake.size();i++)
{
Point cur = get(i);
Point next = get((i+1)%(int)snake.size());
length+=distance2D(cur, next);
}
return length;
}
double Snake::f_uniformity(Point prev, Point next, Point p)
{
// length of previous segment
double un = distance2D(prev, p);
// mesure of uniformity
double avg = snakelength/(int)snake.size();
double dun = std::abs(un-avg);
// elasticity energy
return dun*dun;
}
double Snake::f_curvature(Point prev, Point p, Point next)
{
int ux = p.getX()-prev.getX();
int uy = p.getY()-prev.getY();
double un = std::sqrt((double)ux*ux+uy*uy);
int vx = p.getX()-next.getX();
int vy = p.getY()-next.getY();
double vn = std::sqrt((double)vx*vx+vy*vy);
if (un==0 || vn==0) return 0;
double cx = (vx+ux)/(un*vn);
double cy = (vy+uy)/(un*vn);
// curvature energy
double cn = cx*cx+cy*cy;
return cn;
}
double Snake::f_gflow(Point cur, Point p)
{
// gradient flow
// int dcur = this->flow[cur.getX()][cur.getY()];
// int dp = this->flow[p.getX()][p.getY()];
// double d = dp-dcur;
// return d;
double dp = -this->flow[p.getX()][p.getY()];
return dp;
}
double Snake::f_image(Point cur, Point p)
{
// double d = distance2D(cur, p);
// double g = this->gradient[cur.getX()][cur.getY()];
// double e = g*d;
// return e;
double g = this->gradient[p.getX()][p.getY()];
return g;
}
double Snake::f_balloon(Point prev, Point p, Point cur, Point next)
{
//
Point t=next-prev;
double tx=(double)t.getX()/t.norm();
double ty=(double)t.getY()/t.norm();
Point s=p-cur;
double u=(double)s.getX()+(2*NBHD_RADIUS+1)*ty;
double v=(double)s.getY()-(2*NBHD_RADIUS+1)*tx;
return u*u+v*v;
}
double Snake::f_prior()
{
complex* sh=this->DFTShape();
complex* sn=this->DFTSnake();
complex* Sh=iDFT(sh,(int)this->shape.size());
complex* Sn=iDFT(sn,(int)this->snake.size());
double d;
switch(distanceType)
{
case EUCLIDEAN:
d=0;
for(int i=0;i<(int)snake.size();i++)
{
d=d+std::norm(sh[i]-sn[i]);
}
//d=this->EuclideanModified();
break;
case DTW:
//d=dtwDistance(Sh,Sn,(int)this->shape.size(),this->windowLength);
d=dtwDistance(Sh,Sn,(int)this->shape.size());
break;
case PRATT:
d=1-Pratt(Sn,(int)this->snake.size(),Sh,(int)this->shape.size());
break;
case GDM:
d = interArea(Sn,(int)this->snake.size(),Sh,(int)this->shape.size());
break;
case LARSSON:
d=1-maxR12(sn,(int)this->snake.size(),sh,(int)this->shape.size());
break;
}
delete[] sn;
delete[] Sn;
return d;
}
double Snake::EuclideanModified()
{
complex* sh=this->DFTShape();
complex* Sh=iDFT(sh,(int)this->shape.size());
//complex* sh=PointsToDFT(this->shape,this->useSPI,this->useRotInvar);
complex* sn;
complex* Sn;
int N=snake.size();
double min=DBL_MAX;
double d;
for(int i=0;i<N;i++)
{
//sn=this->DFTSnake();
PointList l=this->shiftSnake(i);
sn=PointsToDFT(l,this->useSPI,this->useRotInvar);
Sn=iDFT(sn,(int)this->snake.size());
d=0;
for(int i=0;i<(int)snake.size();i++)
{
d=d+std::norm(sh[i]-sn[i]);
}
//Get the index where the distance is minimal
if(d < min)
{
min=d;
}
l.clear();
delete[] sn;
delete[] Sn;
}
delete[] sh;
delete[] Sh;
return min;
}
//double interArea(complex* S, int sizeS, complex* T, int sizeT)
//{
// typedef CGAL::Simple_cartesian<double> K;
// typedef K::Point_2 PointCGAL;
// typedef CGAL::Polygon_2<K> Polygon_2;
// typedef CGAL::Polygon_with_holes_2<K> Polygon_with_holes_2;
// PointCGAL *points=new PointCGAL[sizeS];
// PointCGAL *points2=new PointCGAL[sizeT];
// for(int i=0;i<sizeS;i++)
// {
// points[i]=PointCGAL(100*S[i].real(),100*S[i].imag());
// //points[i]=PointCGAL(S[i].real()/500,S[i].imag()/500);
// }
// for(int i=0;i<sizeT;i++)
// {
// points2[i]=PointCGAL(100*T[i].real(),100*T[i].imag());
// //points2[i]=PointCGAL(T[i].real()/500,T[i].imag()/500);
// }
// Polygon_2 poly1(points, points+sizeS);
// Polygon_2 poly2(points2, points2+sizeT);
// //CGAL::General_polygon_with_holes_2<K> poly3;
// std::list<Polygon_with_holes_2> polyI;
// CGAL::intersection(poly1, poly2, std::back_inserter(polyI));
// //CGAL::difference(poly1, poly2, std::back_inserter(polyI));
// //CGAL::symmetric_difference(poly1, poly2, std::back_inserter(polyI));
// double totalArea = 0;
// typedef std::list<Polygon_with_holes_2>::iterator LIT;
// for(LIT lit = polyI.begin(); lit!=polyI.end(); lit++)
// {
// totalArea+=lit->outer_boundary().area();
// }
// double a1=poly1.area();
// double a2=poly2.area();
// totalArea = a1+a2-2*totalArea;
// delete[] points;
// delete[] points2;
// polyI.clear();
// return totalArea;
//}
double interArea(complex* S, int sizeS, complex* T, int sizeT)
{
typedef CGAL::Simple_cartesian<double> K;
typedef K::Point_2 PointCGAL;
typedef CGAL::Polygon_2<K> Polygon_2;
typedef CGAL::Polygon_with_holes_2<K> Polygon_with_holes_2;
PointCGAL *points=new PointCGAL[sizeS];
PointCGAL *points2=new PointCGAL[sizeT];
for(int i=0;i<sizeS;i++)
{
points[i]=PointCGAL(100*S[i].real(),100*S[i].imag());
//points[i]=PointCGAL(S[i].real()/500,S[i].imag()/500);
}
for(int i=0;i<sizeT;i++)
{
points2[i]=PointCGAL(100*T[i].real(),100*T[i].imag());
//points2[i]=PointCGAL(T[i].real()/500,T[i].imag()/500);
}
Polygon_2 poly1(points, points+sizeS);
Polygon_2 poly2(points2, points2+sizeT);
//CGAL::General_polygon_with_holes_2<K> poly3;
std::list<Polygon_with_holes_2> polyI;
CGAL::intersection(poly1, poly2, std::back_inserter(polyI));
//CGAL::difference(poly1, poly2, std::back_inserter(polyI));
//CGAL::symmetric_difference(poly1, poly2, std::back_inserter(polyI));
double totalArea = 0;
typedef std::list<Polygon_with_holes_2>::iterator LIT;
for(LIT lit = polyI.begin(); lit!=polyI.end(); lit++)
{
totalArea+=lit->outer_boundary().area();
}
double a1=poly1.area();
double a2=poly2.area();
totalArea = a1+a2-2*totalArea;
delete[] points;
delete[] points2;
polyI.clear();
return totalArea;
}
double maxR12(complex* S, int sizeS, complex* T, int sizeT)
//compute iDFT(/S*T) and return the max coefficient
{
double r;
complex* P = new complex[sizeS];
for(int i=0;i<sizeS;i++)
{
P[i]=conj(S[i])*T[i];
}
r=std::norm(max(iDFT(P,sizeS),0,sizeS-1));
delete[] P;
return r;
}
double distance(int i, complex* S, complex* T, int sizeT)
//Distance between the i-th pixel of S and its closest pixel in T
{
double min=std::norm(S[i]-T[0]);
for(int j=0;j<sizeT;j++)
{
if(min>std::norm(S[i]-T[j])) min=std::norm(S[i]-T[j]);
}
return min;
}
complex* fillPoints(complex* c, int n, int N)
//c is the coordinates of the contour, n is the size and N-1 is the number of points added between two points of the contour (N segments)
{
double x1,y1,x2,y2,stepx,stepy;
complex* v=new complex[n*N];
int j=0;
for(int i=0;i<n;i++)
{
x1=c[i].real();
y1=c[i].imag();
if(i<n-1)
{
x2=c[i+1].real();
y2=c[i+1].imag();
}
else
{
x2=c[0].real();
y2=c[0].imag();
}
v[j]=c[i];
j++;
stepx=(x2-x1)/N;
stepy=(y2-y1)/N;
for(int i=1;i<N;i++)
{
v[j]=complex(x1+i*stepx,y1+i*stepy);
j++;
}
}
return v;
}
double Pratt(complex* S, int sizeS, complex* T, int sizeT)
{
double sum=0;
// int N=3;
// complex* nS=fillPoints(S,sizeS,N);
// complex* nT=fillPoints(T,sizeT,N);
// for(int i=0;i<sizeS*N;i++)
// {
// sum=sum+(double)1/(1+distance(i,nS,nT,sizeT*N)*distance(i,nS,nT,sizeT*N));
// }
for(int i=0;i<sizeS;i++)
{
sum=sum+(double)1/(1+distance(i,S,T,sizeT)*distance(i,S,T,sizeT));
}
sum=sum/std::max(sizeS,sizeT);
// delete[] nS;
// delete[] nT;
return sum;
}
double PolygonArea(complex* p,int N)
{
int i,j;
double area = 0;
for (i=0;i<N;i++)
{
j = (i + 1) % N;
area += p[i].real() * p[j].imag();
area -= p[i].imag() * p[j].real();
}
area /= 2;
return(area < 0 ? -area : area);
}
double PartitionDistance(complex* S, int sizeS, complex* T, int sizeT)
{
double d=PolygonArea(S,sizeS)-PolygonArea(T,sizeT);
return(d < 0 ? -d : d);
}
complex* getFourierCoeffiecients(PointList snake)