Open Source Computer Vision Library https://opencv.org/
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/*M///////////////////////////////////////////////////////////////////////////////////////
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#include "precomp.hpp"
#include "opencv2/photo.hpp"
#include "math.h"
#include <vector>
#include <limits>
using namespace std;
using namespace cv;
class Decolor
{
private:
Mat kernelx;
Mat kernely;
int order;
public:
float sigma;
void init();
vector<double> product(vector < vector<int> > &comb, vector <double> &initRGB);
double energyCalcu(vector <double> &Cg, vector < vector <double> > &polyGrad, vector <double> &wei);
void singleChannelGradx(const Mat &img, Mat& dest);
void singleChannelGrady(const Mat &img, Mat& dest);
void gradvector(const Mat &img, vector <double> &grad);
void colorGrad(Mat img, vector <double> &Cg);
void add_vector(vector < vector <int> > &comb, int r,int g,int b);
void add_to_vector_poly(vector < vector <double> > &polyGrad, vector <double> &curGrad);
void weak_order(Mat img, vector <double> &alf);
void grad_system(Mat img, vector < vector < double > > &polyGrad,
vector < double > &Cg, vector < vector <int> >& comb);
void wei_update_matrix(vector < vector <double> > &poly, vector <double> &Cg, Mat &X);
void wei_inti(vector < vector <int> > &comb, vector <double> &wei);
void grayImContruct(vector <double> &wei, Mat img, Mat &Gray);
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};
double Decolor::energyCalcu(vector <double> &Cg, vector < vector <double> > &polyGrad, vector <double> &wei)
{
vector <double> energy;
vector <double> temp;
vector <double> temp1;
double val = 0.0;
for(unsigned int i=0;i< polyGrad[0].size();i++)
{
val = 0.0;
for(unsigned int j =0;j<polyGrad.size();j++)
val = val + (polyGrad[j][i] * wei[j]);
temp.push_back(val - Cg[i]);
temp1.push_back(val + Cg[i]);
}
for(unsigned int i=0;i<polyGrad[0].size();i++)
energy.push_back(-1.0*log(exp(-1.0*pow(temp[i],2)/sigma) + exp(-1.0*pow(temp1[i],2)/sigma)));
double sum = 0.0;
for(unsigned int i=0;i<polyGrad[0].size();i++)
sum +=energy[i];
return (sum/polyGrad[0].size());
}
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void Decolor::init()
{
kernelx = Mat(1,2, CV_32FC1);
kernely = Mat(2,1, CV_32FC1);
kernelx.at<float>(0,0)=1.0;
kernelx.at<float>(0,1)=-1.0;
kernely.at<float>(0,0)=1.0;
kernely.at<float>(1,0)=-1.0;
order = 2;
sigma = .02;
}
vector<double> Decolor::product(vector < vector<int> > &comb, vector <double> &initRGB)
{
vector <double> res;
double dp;
for (unsigned int i=0;i<comb.size();i++)
{
dp = 0.0;
for(int j=0;j<3;j++)
dp = dp + (comb[i][j] * initRGB[j]);
res.push_back(dp);
}
return res;
}
void Decolor::singleChannelGradx(const Mat &img, Mat& dest)
{
int w=img.size().width;
int h=img.size().height;
Point anchor(kernelx.cols - kernelx.cols/2 - 1, kernelx.rows - kernelx.rows/2 - 1);
filter2D(img, dest, -1, kernelx, anchor, 0.0, BORDER_CONSTANT);
for(int i=0;i<h;i++)
dest.at<float>(i,w-1)=0.0;
}
void Decolor::singleChannelGrady(const Mat &img, Mat& dest)
{
int w=img.size().width;
int h=img.size().height;
Point anchor(kernely.cols - kernely.cols/2 - 1, kernely.rows - kernely.rows/2 - 1);
filter2D(img, dest, -1, kernely, anchor, 0.0, BORDER_CONSTANT);
for(int j=0;j<w;j++)
dest.at<float>(h-1,j)=0.0;
}
void Decolor::gradvector(const Mat &img, vector <double> &grad)
{
Mat dest= Mat(img.size().height,img.size().width, CV_32FC1);
Mat dest1= Mat(img.size().height,img.size().width, CV_32FC1);
singleChannelGradx(img,dest);
singleChannelGrady(img,dest1);
Mat d_trans=dest.t();
Mat d1_trans=dest1.t();
int height = d_trans.size().height;
int width = d_trans.size().width;
for(int i=0;i<height;i++)
for(int j=0;j<width;j++)
grad.push_back(d_trans.at<float>(i,j));
for(int i=0;i<height;i++)
for(int j=0;j<width;j++)
grad.push_back(d1_trans.at<float>(i,j));
dest.release();
dest1.release();
}
void Decolor::colorGrad(Mat img, vector <double> &Cg)
{
Mat lab = Mat(img.size(),CV_32FC3);
cvtColor(img,lab,COLOR_BGR2Lab);
vector <Mat> lab_channel;
split(lab,lab_channel);
vector <double> ImL;
vector <double> Ima;
vector <double> Imb;
gradvector(lab_channel[0],ImL);
gradvector(lab_channel[1],Ima);
gradvector(lab_channel[2],Imb);
double res =0.0;
for(unsigned int i=0;i<ImL.size();i++)
{
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res=sqrt(pow(ImL[i],2) + pow(Ima[i],2) + pow(Imb[i],2))/100;
Cg.push_back(res);
}
ImL.clear();
Ima.clear();
Imb.clear();
}
void Decolor::add_vector(vector < vector <int> > &comb, int r,int g,int b)
{
static int idx =0;
comb.push_back( vector <int>() );
comb.at(idx).push_back( r );
comb.at(idx).push_back( g );
comb.at(idx).push_back( b );
idx++;
}
void Decolor::add_to_vector_poly(vector < vector <double> > &polyGrad, vector <double> &curGrad)
{
static int idx1 =0;
polyGrad.push_back( vector <double>() );
for(unsigned int i=0;i<curGrad.size();i++)
polyGrad.at(idx1).push_back(curGrad[i]);
idx1++;
}
void Decolor::weak_order(Mat img, vector <double> &alf)
{
int h = img.size().height;
int w = img.size().width;
double sizefactor;
if((h + w) > 800)
{
sizefactor = (double)800/(h+w);
resize(img,img,Size(round(h*sizefactor),round(w*sizefactor)));
}
Mat curIm = Mat(img.size(),CV_32FC1);
vector <Mat> rgb_channel;
split(img,rgb_channel);
vector <double> Rg, Gg, Bg;
vector <double> t1, t2, t3;
vector <double> tmp1, tmp2, tmp3;
gradvector(rgb_channel[2],Rg);
gradvector(rgb_channel[1],Gg);
gradvector(rgb_channel[0],Bg);
double level = .05;
for(unsigned int i=0;i<Rg.size();i++)
{
if(Rg[i] > level)
t1.push_back(1.0);
else
t1.push_back(0.0);
if(Gg[i] > level)
t2.push_back(1.0);
else
t2.push_back(0.0);
if(Bg[i] > level)
t3.push_back(1.0);
else
t3.push_back(0.0);
if(Rg[i] < -1.0*level)
tmp1.push_back(1.0);
else
tmp1.push_back(0.0);
if(Gg[i] < -1.0*level)
tmp2.push_back(1.0);
else
tmp2.push_back(0.0);
if(Bg[i] < -1.0*level)
tmp3.push_back(1.0);
else
tmp3.push_back(0.0);
}
for(unsigned int i =0 ;i < Rg.size();i++)
alf.push_back(t1[i] * t2[i] * t3[i]);
for(unsigned int i =0 ;i < Rg.size();i++)
alf[i] -= tmp1[i] * tmp2[i] * tmp3[i];
double sum =0.0;
for(unsigned int i=0;i<alf.size();i++)
sum += abs(alf[i]);
sum = (double)100*sum/alf.size();
Rg.clear(); Gg.clear(); Bg.clear();
t1.clear(); t2.clear(); t3.clear();
tmp1.clear(); tmp2.clear(); tmp3.clear();
}
void Decolor::grad_system(Mat img, vector < vector < double > > &polyGrad,
vector < double > &Cg, vector < vector <int> >& comb)
{
int h = img.size().height;
int w = img.size().width;
double sizefactor;
if((h + w) > 800)
{
sizefactor = (double)800/(h+w);
resize(img,img,Size(round(h*sizefactor),round(w*sizefactor)));
}
h = img.size().height;
w = img.size().width;
colorGrad(img,Cg);
Mat curIm = Mat(img.size(),CV_32FC1);
vector <Mat> rgb_channel;
split(img,rgb_channel);
for(int r=0 ;r <=order; r++)
for(int g=0; g<=order;g++)
for(int b =0; b <=order;b++)
{
if((r+g+b)<=order && (r+g+b) > 0)
{
add_vector(comb,r,g,b);
for(int i = 0;i<h;i++)
for(int j=0;j<w;j++)
curIm.at<float>(i,j)=
pow(rgb_channel[2].at<float>(i,j),r)*pow(rgb_channel[1].at<float>(i,j),g)*
pow(rgb_channel[0].at<float>(i,j),b);
vector <double> curGrad;
gradvector(curIm,curGrad);
add_to_vector_poly(polyGrad,curGrad);
}
}
}
void Decolor::wei_update_matrix(vector < vector <double> > &poly, vector <double> &Cg, Mat &X)
{
Mat P = Mat(poly.size(),poly[0].size(), CV_32FC1);
Mat A = Mat(poly.size(),poly.size(), CV_32FC1);
for(unsigned int i =0;i<poly.size();i++)
for(unsigned int j=0;j<poly[0].size();j++)
P.at<float>(i,j) = (float) poly[i][j];
Mat P_trans = P.t();
Mat B = Mat(poly.size(),poly[0].size(), CV_32FC1);
for(unsigned int i =0;i < poly.size();i++)
{
for(unsigned int j=0;j<Cg.size();j++)
B.at<float>(i,j) = (float) (poly[i][j] * Cg[j]);
}
A = P*P_trans;
solve(A, B, X, DECOMP_NORMAL);
}
void Decolor::wei_inti(vector < vector <int> > &comb, vector <double> &wei)
{
vector <double> initRGB;
initRGB.push_back( .33 );
initRGB.push_back( .33 );
initRGB.push_back( .33 );
wei = product(comb,initRGB);
vector <int> sum;
for(unsigned int i=0;i<comb.size();i++)
sum.push_back(comb[i][0] + comb[i][1] + comb[i][2]);
for(unsigned int i=0;i<sum.size();i++)
{
if(sum[i] == 1)
wei[i] = wei[i] * double(1);
else
wei[i] = wei[i] * double(0);
}
initRGB.clear();
sum.clear();
}
void Decolor::grayImContruct(vector <double> &wei, Mat img, Mat &Gray)
{
int h=img.size().height;
int w=img.size().width;
vector <Mat> rgb_channel;
split(img,rgb_channel);
int kk =0;
for(int r =0;r<=order;r++)
for(int g=0;g<=order;g++)
for(int b=0;b<=order;b++)
if((r + g + b) <=order && (r+g+b) > 0)
{
for(int i = 0;i<h;i++)
for(int j=0;j<w;j++)
Gray.at<float>(i,j)=Gray.at<float>(i,j) +
(float) wei[kk]*pow(rgb_channel[2].at<float>(i,j),r)*pow(rgb_channel[1].at<float>(i,j),g)*
pow(rgb_channel[0].at<float>(i,j),b);
kk=kk+1;
}
float minval = INT_MAX;
float maxval = INT_MIN;
for(int i=0;i<h;i++)
for(int j =0;j<w;j++)
{
if(Gray.at<float>(i,j) < minval)
minval = Gray.at<float>(i,j);
if(Gray.at<float>(i,j) > maxval)
maxval = Gray.at<float>(i,j);
}
for(int i=0;i<h;i++)
for(int j=0;j<w;j++)
Gray.at<float>(i,j) = (Gray.at<float>(i,j) - minval)/(maxval - minval);
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}