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/*M///////////////////////////////////////////////////////////////////////////////////////
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//
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// IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
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//
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// By downloading, copying, installing or using the software you agree to this license.
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// If you do not agree to this license, do not download, install,
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// copy or use the software.
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//
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//
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// License Agreement
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// For Open Source Computer Vision Library
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//
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// Copyright (C) 2013, OpenCV Foundation, all rights reserved.
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// Third party copyrights are property of their respective owners.
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//
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// Redistribution and use in source and binary forms, with or without modification,
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// are permitted provided that the following conditions are met:
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//
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// * Redistribution's of source code must retain the above copyright notice,
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// this list of conditions and the following disclaimer.
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//
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// * Redistribution's in binary form must reproduce the above copyright notice,
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// this list of conditions and the following disclaimer in the documentation
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// and/or other materials provided with the distribution.
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//
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// * The name of the copyright holders may not be used to endorse or promote products
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// derived from this software without specific prior written permission.
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//
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// This software is provided by the copyright holders and contributors "as is" and
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// any express or implied warranties, including, but not limited to, the implied
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// warranties of merchantability and fitness for a particular purpose are disclaimed.
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// In no event shall the Intel Corporation or contributors be liable for any direct,
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// indirect, incidental, special, exemplary, or consequential damages
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// (including, but not limited to, procurement of substitute goods or services;
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// loss of use, data, or profits; or business interruption) however caused
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// and on any theory of liability, whether in contract, strict liability,
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// or tort (including negligence or otherwise) arising in any way out of
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// the use of this software, even if advised of the possibility of such damage.
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//
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//M*/
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#include "precomp.hpp"
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#include "opencv2/photo.hpp"
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#include <cmath>
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#include <vector>
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using namespace std;
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using namespace cv;
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class Decolor
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{
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private:
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Mat kernelx;
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Mat kernely;
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int order;
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public:
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float sigma;
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Decolor();
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static vector<double> product(const vector <Vec3i> &comb, const double initRGB[3]);
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double energyCalcu(const vector <double> &Cg, const vector < vector <double> > &polyGrad, const vector <double> &wei) const;
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void singleChannelGradx(const Mat &img, Mat& dest) const;
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void singleChannelGrady(const Mat &img, Mat& dest) const;
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void gradvector(const Mat &img, vector <double> &grad) const;
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void colorGrad(const Mat &img, vector <double> &Cg) const;
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static void add_vector(vector <Vec3i> &comb, int &idx, int r,int g,int b);
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static void add_to_vector_poly(vector < vector <double> > &polyGrad, const vector <double> &curGrad, int &idx1);
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void weak_order(const Mat &img, vector <double> &alf) const;
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void grad_system(const Mat &img, vector < vector < double > > &polyGrad,
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vector < double > &Cg, vector <Vec3i>& comb) const;
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static void wei_update_matrix(const vector < vector <double> > &poly, const vector <double> &Cg, Mat &X);
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static void wei_inti(const vector <Vec3i> &comb, vector <double> &wei);
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void grayImContruct(vector <double> &wei, const Mat &img, Mat &Gray) const;
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};
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double Decolor::energyCalcu(const vector <double> &Cg, const vector < vector <double> > &polyGrad, const vector <double> &wei) const
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{
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const size_t size = polyGrad[0].size();
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vector <double> energy(size);
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vector <double> temp(size);
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vector <double> temp1(size);
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for(size_t i=0;i< polyGrad[0].size();i++)
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{
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double val = 0.0;
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for(size_t j =0;j<polyGrad.size();j++)
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val = val + (polyGrad[j][i] * wei[j]);
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temp[i] = val - Cg[i];
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temp1[i] = val + Cg[i];
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}
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for(size_t i=0;i<polyGrad[0].size();i++)
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energy[i] = -1.0*log(exp(-1.0*pow(temp[i],2)/sigma) + exp(-1.0*pow(temp1[i],2)/sigma));
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double sum = 0.0;
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for(size_t i=0;i<polyGrad[0].size();i++)
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sum +=energy[i];
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return (sum/polyGrad[0].size());
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}
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Decolor::Decolor()
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{
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kernelx = Mat(1,2, CV_32FC1);
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kernely = Mat(2,1, CV_32FC1);
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kernelx.at<float>(0,0)=1.0;
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kernelx.at<float>(0,1)=-1.0;
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kernely.at<float>(0,0)=1.0;
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kernely.at<float>(1,0)=-1.0;
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order = 2;
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sigma = 0.02f;
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}
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vector<double> Decolor::product(const vector <Vec3i> &comb, const double initRGB[3])
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{
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vector <double> res(comb.size());
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for (size_t i=0;i<comb.size();i++)
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{
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double dp = 0.0;
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for(int j=0;j<3;j++)
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dp = dp + (comb[i][j] * initRGB[j]);
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res[i] = dp;
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}
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return res;
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}
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void Decolor::singleChannelGradx(const Mat &img, Mat& dest) const
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{
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const int w = img.size().width;
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const Point anchor(kernelx.cols - kernelx.cols/2 - 1, kernelx.rows - kernelx.rows/2 - 1);
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filter2D(img, dest, -1, kernelx, anchor, 0.0, BORDER_CONSTANT);
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dest.col(w - 1) = 0.0;
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}
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void Decolor::singleChannelGrady(const Mat &img, Mat& dest) const
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{
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const int h = img.size().height;
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const Point anchor(kernely.cols - kernely.cols/2 - 1, kernely.rows - kernely.rows/2 - 1);
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filter2D(img, dest, -1, kernely, anchor, 0.0, BORDER_CONSTANT);
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dest.row(h - 1) = 0.0;
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}
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void Decolor::gradvector(const Mat &img, vector <double> &grad) const
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{
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Mat dest;
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Mat dest1;
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singleChannelGradx(img,dest);
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singleChannelGrady(img,dest1);
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Mat d_trans=dest.t();
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Mat d1_trans=dest1.t();
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const int height = d_trans.size().height;
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const int width = d_trans.size().width;
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grad.resize(width * height * 2);
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for(int i=0;i<height;i++)
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for(int j=0;j<width;j++)
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grad[i*width + j] = d_trans.at<float>(i, j);
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const int offset = width * height;
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for(int i=0;i<height;i++)
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for(int j=0;j<width;j++)
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grad[offset + i * width + j] = d1_trans.at<float>(i, j);
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}
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void Decolor::colorGrad(const Mat &img, vector <double> &Cg) const
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{
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Mat lab;
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cvtColor(img,lab,COLOR_BGR2Lab);
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vector <Mat> lab_channel;
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split(lab,lab_channel);
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vector <double> ImL;
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vector <double> Ima;
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vector <double> Imb;
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gradvector(lab_channel[0],ImL);
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gradvector(lab_channel[1],Ima);
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gradvector(lab_channel[2],Imb);
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Cg.resize(ImL.size());
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for(size_t i=0;i<ImL.size();i++)
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{
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const double res = sqrt(pow(ImL[i],2) + pow(Ima[i],2) + pow(Imb[i],2))/100;
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Cg[i] = res;
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}
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}
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void Decolor::add_vector(vector <Vec3i> &comb, int &idx, int r,int g,int b)
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{
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comb.push_back(Vec3i(r, g, b));
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idx++;
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}
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void Decolor::add_to_vector_poly(vector < vector <double> > &polyGrad, const vector <double> &curGrad, int &idx1)
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{
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polyGrad.push_back(curGrad);
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idx1++;
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}
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void Decolor::weak_order(const Mat &im, vector <double> &alf) const
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{
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Mat img;
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const int h = im.size().height;
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const int w = im.size().width;
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if((h + w) > 800)
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{
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const double sizefactor = double(800)/(h+w);
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resize(im, img, Size(cvRound(w*sizefactor), cvRound(h*sizefactor)));
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}
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else
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{
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img = im;
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}
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Mat curIm = Mat(img.size(),CV_32FC1);
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vector <Mat> rgb_channel;
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split(img,rgb_channel);
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vector <double> Rg, Gg, Bg;
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gradvector(rgb_channel[2],Rg);
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gradvector(rgb_channel[1],Gg);
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gradvector(rgb_channel[0],Bg);
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vector <double> t1(Rg.size()), t2(Rg.size()), t3(Rg.size());
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vector <double> tmp1(Rg.size()), tmp2(Rg.size()), tmp3(Rg.size());
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const double level = .05;
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for(size_t i=0;i<Rg.size();i++)
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{
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t1[i] = (Rg[i] > level) ? 1.0 : 0.0;
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t2[i] = (Gg[i] > level) ? 1.0 : 0.0;
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t3[i] = (Bg[i] > level) ? 1.0 : 0.0;
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tmp1[i] = (Rg[i] < -1.0*level) ? 1.0 : 0.0;
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tmp2[i] = (Gg[i] < -1.0*level) ? 1.0 : 0.0;
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tmp3[i] = (Bg[i] < -1.0*level) ? 1.0 : 0.0;
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}
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alf.resize(Rg.size());
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for(size_t i =0 ;i < Rg.size();i++)
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alf[i] = (t1[i] * t2[i] * t3[i]);
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for(size_t i =0 ;i < Rg.size();i++)
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alf[i] -= tmp1[i] * tmp2[i] * tmp3[i];
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}
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void Decolor::grad_system(const Mat &im, vector < vector < double > > &polyGrad,
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vector < double > &Cg, vector <Vec3i>& comb) const
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{
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Mat img;
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int h = im.size().height;
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int w = im.size().width;
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if((h + w) > 800)
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{
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const double sizefactor = double(800)/(h+w);
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resize(im, img, Size(cvRound(w*sizefactor), cvRound(h*sizefactor)));
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}
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else
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{
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img = im;
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}
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h = img.size().height;
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w = img.size().width;
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colorGrad(img,Cg);
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Mat curIm = Mat(img.size(),CV_32FC1);
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vector <Mat> rgb_channel;
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split(img,rgb_channel);
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int idx = 0, idx1 = 0;
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for(int r=0 ;r <=order; r++)
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for(int g=0; g<=order;g++)
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for(int b =0; b <=order;b++)
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{
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if((r+g+b)<=order && (r+g+b) > 0)
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{
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add_vector(comb,idx,r,g,b);
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for(int i = 0;i<h;i++)
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for(int j=0;j<w;j++)
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curIm.at<float>(i,j)=
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pow(rgb_channel[2].at<float>(i,j),r)*pow(rgb_channel[1].at<float>(i,j),g)*
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pow(rgb_channel[0].at<float>(i,j),b);
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vector <double> curGrad;
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gradvector(curIm,curGrad);
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add_to_vector_poly(polyGrad,curGrad,idx1);
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}
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}
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}
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void Decolor::wei_update_matrix(const vector < vector <double> > &poly, const vector <double> &Cg, Mat &X)
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{
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const int size = static_cast<int>(poly.size());
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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++)
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for (int j = 0; j < size0;j++)
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P.at<float>(i,j) = static_cast<float>(poly[i][j]);
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const Mat P_trans = P.t();
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Mat B = Mat(size, size0, CV_32FC1);
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for(int i =0;i < size;i++)
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{
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for(int j = 0, end = int(Cg.size()); j < end;j++)
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B.at<float>(i,j) = static_cast<float>(poly[i][j] * Cg[j]);
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}
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Mat A = P*P_trans;
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solve(A, B, X, DECOMP_NORMAL);
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}
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void Decolor::wei_inti(const vector <Vec3i> &comb, vector <double> &wei)
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{
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double initRGB[3] = { .33, .33, .33 };
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wei = product(comb,initRGB);
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vector <int> sum(comb.size());
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for(size_t i=0;i<comb.size();i++)
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sum[i] = (comb[i][0] + comb[i][1] + comb[i][2]);
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for(size_t i=0;i<sum.size();i++)
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{
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if(sum[i] == 1)
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wei[i] = wei[i] * double(1);
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else
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wei[i] = wei[i] * double(0);
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}
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sum.clear();
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}
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void Decolor::grayImContruct(vector <double> &wei, const Mat &img, Mat &Gray) const
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{
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const int h = img.size().height;
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const int w = img.size().width;
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vector <Mat> rgb_channel;
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split(img,rgb_channel);
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int kk =0;
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for(int r =0;r<=order;r++)
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for(int g=0;g<=order;g++)
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for(int b=0;b<=order;b++)
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if((r + g + b) <=order && (r+g+b) > 0)
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{
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for(int i = 0;i<h;i++)
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for(int j=0;j<w;j++)
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Gray.at<float>(i,j)=Gray.at<float>(i,j) +
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static_cast<float>(wei[kk])*pow(rgb_channel[2].at<float>(i,j),r)*pow(rgb_channel[1].at<float>(i,j),g)*
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pow(rgb_channel[0].at<float>(i,j),b);
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kk=kk+1;
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}
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double minval, maxval;
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minMaxLoc(Gray, &minval, &maxval);
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Gray -= minval;
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Gray /= maxval - minval;
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}
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