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#include "precomp.hpp"
#include "opencv2/photo.hpp"
#include <cmath>
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#include <vector>
using namespace std;
using namespace cv;
class Decolor
{
private:
Mat kernelx;
Mat kernely;
int order;
public:
float sigma;
Decolor();
static vector<double> product(const vector <Vec3i> &comb, const double initRGB[3]);
double energyCalcu(const vector <double> &Cg, const vector < vector <double> > &polyGrad, const vector <double> &wei) const;
void singleChannelGradx(const Mat &img, Mat& dest) const;
void singleChannelGrady(const Mat &img, Mat& dest) const;
void gradvector(const Mat &img, vector <double> &grad) const;
void colorGrad(const Mat &img, vector <double> &Cg) const;
static void add_vector(vector <Vec3i> &comb, int &idx, int r,int g,int b);
static void add_to_vector_poly(vector < vector <double> > &polyGrad, const vector <double> &curGrad, int &idx1);
void weak_order(const Mat &img, vector <double> &alf) const;
void grad_system(const Mat &img, vector < vector < double > > &polyGrad,
vector < double > &Cg, vector <Vec3i>& comb) const;
static void wei_update_matrix(const vector < vector <double> > &poly, const vector <double> &Cg, Mat &X);
static void wei_inti(const vector <Vec3i> &comb, vector <double> &wei);
void grayImContruct(vector <double> &wei, const Mat &img, Mat &Gray) const;
};
double Decolor::energyCalcu(const vector <double> &Cg, const vector < vector <double> > &polyGrad, const vector <double> &wei) const
{
const size_t size = polyGrad[0].size();
vector <double> energy(size);
vector <double> temp(size);
vector <double> temp1(size);
for(size_t i=0;i< polyGrad[0].size();i++)
{
double val = 0.0;
for(size_t j =0;j<polyGrad.size();j++)
val = val + (polyGrad[j][i] * wei[j]);
temp[i] = val - Cg[i];
temp1[i] = val + Cg[i];
}
for(size_t i=0;i<polyGrad[0].size();i++)
energy[i] = -1.0*log(exp(-1.0*pow(temp[i],2)/sigma) + exp(-1.0*pow(temp1[i],2)/sigma));
double sum = 0.0;
for(size_t i=0;i<polyGrad[0].size();i++)
sum +=energy[i];
return (sum/polyGrad[0].size());
}
Decolor::Decolor()
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{
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;
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sigma = 0.02f;
}
vector<double> Decolor::product(const vector <Vec3i> &comb, const double initRGB[3])
{
vector <double> res(comb.size());
for (size_t i=0;i<comb.size();i++)
{
double dp = 0.0;
for(int j=0;j<3;j++)
dp = dp + (comb[i][j] * initRGB[j]);
res[i] = dp;
}
return res;
}
void Decolor::singleChannelGradx(const Mat &img, Mat& dest) const
{
const int w = img.size().width;
const Point anchor(kernelx.cols - kernelx.cols/2 - 1, kernelx.rows - kernelx.rows/2 - 1);
filter2D(img, dest, -1, kernelx, anchor, 0.0, BORDER_CONSTANT);
dest.col(w - 1) = 0.0;
}
void Decolor::singleChannelGrady(const Mat &img, Mat& dest) const
{
const int h = img.size().height;
const Point anchor(kernely.cols - kernely.cols/2 - 1, kernely.rows - kernely.rows/2 - 1);
filter2D(img, dest, -1, kernely, anchor, 0.0, BORDER_CONSTANT);
dest.row(h - 1) = 0.0;
}
void Decolor::gradvector(const Mat &img, vector <double> &grad) const
{
Mat dest;
Mat dest1;
singleChannelGradx(img,dest);
singleChannelGrady(img,dest1);
Mat d_trans=dest.t();
Mat d1_trans=dest1.t();
const int height = d_trans.size().height;
const int width = d_trans.size().width;
grad.resize(width * height * 2);
for(int i=0;i<height;i++)
for(int j=0;j<width;j++)
grad[i*width + j] = d_trans.at<float>(i, j);
const int offset = width * height;
for(int i=0;i<height;i++)
for(int j=0;j<width;j++)
grad[offset + i * width + j] = d1_trans.at<float>(i, j);
}
void Decolor::colorGrad(const Mat &img, vector <double> &Cg) const
{
Mat lab;
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);
Cg.resize(ImL.size());
for(size_t i=0;i<ImL.size();i++)
{
const double res = sqrt(pow(ImL[i],2) + pow(Ima[i],2) + pow(Imb[i],2))/100;
Cg[i] = res;
}
}
void Decolor::add_vector(vector <Vec3i> &comb, int &idx, int r,int g,int b)
{
comb.push_back(Vec3i(r, g, b));
idx++;
}
void Decolor::add_to_vector_poly(vector < vector <double> > &polyGrad, const vector <double> &curGrad, int &idx1)
{
polyGrad.push_back(curGrad);
idx1++;
}
void Decolor::weak_order(const Mat &im, vector <double> &alf) const
{
Mat img;
const int h = im.size().height;
const int w = im.size().width;
if((h + w) > 800)
{
const double sizefactor = double(800)/(h+w);
resize(im, img, Size(cvRound(w*sizefactor), cvRound(h*sizefactor)));
}
else
{
img = im;
}
Mat curIm = Mat(img.size(),CV_32FC1);
vector <Mat> rgb_channel;
split(img,rgb_channel);
vector <double> Rg, Gg, Bg;
gradvector(rgb_channel[2],Rg);
gradvector(rgb_channel[1],Gg);
gradvector(rgb_channel[0],Bg);
vector <double> t1(Rg.size()), t2(Rg.size()), t3(Rg.size());
vector <double> tmp1(Rg.size()), tmp2(Rg.size()), tmp3(Rg.size());
const double level = .05;
for(size_t i=0;i<Rg.size();i++)
{
t1[i] = (Rg[i] > level) ? 1.0 : 0.0;
t2[i] = (Gg[i] > level) ? 1.0 : 0.0;
t3[i] = (Bg[i] > level) ? 1.0 : 0.0;
tmp1[i] = (Rg[i] < -1.0*level) ? 1.0 : 0.0;
tmp2[i] = (Gg[i] < -1.0*level) ? 1.0 : 0.0;
tmp3[i] = (Bg[i] < -1.0*level) ? 1.0 : 0.0;
}
alf.resize(Rg.size());
for(size_t i =0 ;i < Rg.size();i++)
alf[i] = (t1[i] * t2[i] * t3[i]);
for(size_t i =0 ;i < Rg.size();i++)
alf[i] -= tmp1[i] * tmp2[i] * tmp3[i];
}
void Decolor::grad_system(const Mat &im, vector < vector < double > > &polyGrad,
vector < double > &Cg, vector <Vec3i>& comb) const
{
Mat img;
int h = im.size().height;
int w = im.size().width;
if((h + w) > 800)
{
const double sizefactor = double(800)/(h+w);
resize(im, img, Size(cvRound(w*sizefactor), cvRound(h*sizefactor)));
}
else
{
img = im;
}
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);
int idx = 0, idx1 = 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)
{
add_vector(comb,idx,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,idx1);
}
}
}
void Decolor::wei_update_matrix(const vector < vector <double> > &poly, const vector <double> &Cg, Mat &X)
{
const int size = static_cast<int>(poly.size());
const int size0 = static_cast<int>(poly[0].size());
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Mat P = Mat(size, size0, CV_32FC1);
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for (int i = 0; i < size; i++)
for (int j = 0; j < size0;j++)
P.at<float>(i,j) = static_cast<float>(poly[i][j]);
const Mat P_trans = P.t();
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Mat B = Mat(size, size0, CV_32FC1);
for(int i =0;i < size;i++)
{
for(int j = 0, end = int(Cg.size()); j < end;j++)
B.at<float>(i,j) = static_cast<float>(poly[i][j] * Cg[j]);
}
Mat A = P*P_trans;
solve(A, B, X, DECOMP_NORMAL);
}
void Decolor::wei_inti(const vector <Vec3i> &comb, vector <double> &wei)
{
double initRGB[3] = { .33, .33, .33 };
wei = product(comb,initRGB);
vector <int> sum(comb.size());
for(size_t i=0;i<comb.size();i++)
sum[i] = (comb[i][0] + comb[i][1] + comb[i][2]);
for(size_t i=0;i<sum.size();i++)
{
if(sum[i] == 1)
wei[i] = wei[i] * double(1);
else
wei[i] = wei[i] * double(0);
}
sum.clear();
}
void Decolor::grayImContruct(vector <double> &wei, const Mat &img, Mat &Gray) const
{
const int h = img.size().height;
const 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) +
static_cast<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;
}
double minval, maxval;
minMaxLoc(Gray, &minval, &maxval);
Gray -= minval;
Gray /= maxval - minval;
}