PuRe.cpp 25.6 KB
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/*
 * Copyright (c) 2018, Thiago Santini
 *
 * Permission to use, copy, modify, and distribute this software and its
 * documentation for non-commercial purposes, without fee, and without a written
 * agreement is hereby granted, provided that:
 *
 * 1) the above copyright notice, this permission notice, and the subsequent
 * bibliographic references be included in all copies or substantial portions of
 * the software
 *
 * 2) the appropriate bibliographic references be made on related publications
 *
 * In this context, non-commercial means not intended for use towards commercial
 * advantage (e.g., as complement to or part of a product) or monetary
 * compensation. The copyright holder reserves the right to decide whether a
 * certain use classifies as commercial or not. For commercial use, please contact
 * the copyright holders.
 *
 * REFERENCES:
 *
 * Thiago Santini, Wolfgang Fuhl, Enkelejda Kasneci, PuRe: Robust pupil detection
 * for real-time pervasive eye tracking, Computer Vision and Image Understanding,
 * 2018, ISSN 1077-3142, https://doi.org/10.1016/j.cviu.2018.02.002.
 *
 *
 * IN NO EVENT SHALL THE AUTHORS BE LIABLE TO ANY PARTY FOR DIRECT,
 * INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING LOST PROFITS,
 * ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF
 * THE AUTHORS HAVE BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 *
 * THE AUTHORS SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, BUT NOT LIMITED
 * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 * PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON AN "AS IS" BASIS, AND THE AUTHORS
 * HAVE NO OBLIGATIONS TO PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR
 * MODIFICATIONS.
 */

#include "PuRe.h"

#include <climits>
#include <iostream>
#include <QDebug>
#include <QElapsedTimer>
#include <opencv2/highgui.hpp>

//#define SAVE_ILLUSTRATION

using namespace std;
using namespace cv;

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string PuRe::desc = "PuRe (Santini et. al 2018a)";
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PuRe::PuRe() :
	expectedFrameSize(-1,-1),
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	outlineBias(5),
	baseSize(320,240)
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{
	mDesc = desc;

	/*
	 * 1) Canthi:
	 * Using measurements from white men
	 * Mean intercanthal distance 32.7 (2.4) mm
	 * Mean palpebral fissure width 27.6 (1.9) mm
	 * Jayanth Kunjur, T. Sabesan, V. Ilankovan
	 * Anthropometric analysis of eyebrows and eyelids:
	 * An inter-racial study
	 */
	meanCanthiDistanceMM = 27.6f;
	//meanCanthiDistanceMM = 32.7f;

	/*
	 * 2) Pupil:
	 * 2 to 4 mm in diameter in bright light to 4 to 8 mm in the dark
	 * Clinical Methods: The History, Physical, and Laboratory Examinations. 3rd edition.
	 * Chapter 58The Pupils
	 * Robert H. Spector.
	 */
	maxPupilDiameterMM = 8.0f;
	minPupilDiameterMM = 2.0f;
}

PuRe::~PuRe()
{
}

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void PuRe::estimateParameters(const int rows, const int cols)
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{
	/*
	 * Assumptions:
	 * 1) The image contains at least both eye corners
	 * 2) The image contains a maximum of 5cm of the face (i.e., ~= 2x canthi distance)
	 */
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	float d = static_cast<float>(sqrt( pow(rows,2) + pow(cols,2) ));
	maxCanthiDistancePx = static_cast<int>(d);
	minCanthiDistancePx = static_cast<int>(2.0f*d/3.0f);
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	maxPupilDiameterPx = static_cast<int>(maxCanthiDistancePx*(maxPupilDiameterMM/meanCanthiDistanceMM));
	minPupilDiameterPx = static_cast<int>(minCanthiDistancePx*(minPupilDiameterMM/meanCanthiDistanceMM));
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}

void PuRe::init(const Mat &frame)
{
	if (expectedFrameSize == Size(frame.cols, frame.rows))
		return;

	expectedFrameSize = Size(frame.cols, frame.rows);

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	float rw = baseSize.width / static_cast<float>(frame.cols);
	float rh = baseSize.height / static_cast<float>(frame.rows);
	scalingRatio = min( min(rw, rh) , 1.0f );
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}


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Mat PuRe::canny(const Mat &in, const bool blurImage, const bool useL2, const int bins, const float nonEdgePixelsRatio, const float lowHighThresholdRatio)
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{
	(void) useL2;
	/*
	 * Smoothing and directional derivatives
	 * TODO: adapt sizes to image size
	 */
	Mat blurred;
	if (blurImage) {
		Size blurSize(5,5);
		GaussianBlur(in, blurred, blurSize, 1.5, 1.5, BORDER_REPLICATE);
	} else
		blurred = in;

	Sobel(blurred, dx, dx.type(), 1, 0, 7, 1, BORDER_REPLICATE);
	Sobel(blurred, dy, dy.type(), 0, 1, 7, 1, BORDER_REPLICATE);

	/*
	 *  Magnitude
	 */
	double minMag = 0;
	double maxMag = 0;
	float *p_res;
	float *p_x, *p_y; // result, x, y

	cv::magnitude(dx, dy, magnitude);
	cv::minMaxLoc(magnitude, &minMag, &maxMag);

	/*
	 *  Threshold selection based on the magnitude histogram
	 */
	float low_th = 0;
	float high_th = 0;

	// Normalization
	magnitude = magnitude / maxMag;

	// Histogram
	int *histogram = new int[bins]();
	Mat res_idx = (bins-1) * magnitude;
	res_idx.convertTo(res_idx, CV_16U);
	short *p_res_idx=0;
	for(int i=0; i<res_idx.rows; i++){
		p_res_idx = res_idx.ptr<short>(i);
		for(int j=0; j<res_idx.cols; j++)
			histogram[ p_res_idx[j] ]++;
	}

	// Ratio
	int sum=0;
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	int nonEdgePixels = static_cast<int>(nonEdgePixelsRatio * in.rows * in.cols);
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	for(int i=0; i<bins; i++){
		sum += histogram[i];
		if( sum > nonEdgePixels ){
			high_th = float(i+1) / bins ;
			break;
		}
	}
	low_th = lowHighThresholdRatio*high_th;

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	delete[] histogram;
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	/*
	 *  Non maximum supression
	 */
	const float tg22_5 = 0.4142135623730950488016887242097f;
	const float tg67_5 = 2.4142135623730950488016887242097f;
	uchar *_edgeType;
	float *p_res_b, *p_res_t;
	edgeType.setTo(0);
	for(int i=1; i<magnitude.rows-1; i++) {
		_edgeType = edgeType.ptr<uchar>(i);

		p_res=magnitude.ptr<float>(i);
		p_res_t=magnitude.ptr<float>(i-1);
		p_res_b=magnitude.ptr<float>(i+1);

		p_x=dx.ptr<float>(i);
		p_y=dy.ptr<float>(i);

		for(int j=1; j<magnitude.cols-1; j++){

			float m = p_res[j];
			if (m < low_th)
				continue;

			float iy = p_y[j];
			float ix = p_x[j];
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			float y  = abs( iy );
			float x  = abs( ix );
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			uchar val = p_res[j] > high_th ? 255 : 128;

			float tg22_5x = tg22_5 * x;
			if (y < tg22_5x) {
				if (m > p_res[j-1] && m >= p_res[j+1])
					_edgeType[j] = val;
			} else {
				float tg67_5x = tg67_5 * x;
				if (y > tg67_5x) {
					if (m > p_res_b[j] && m >= p_res_t[j])
						_edgeType[j] = val;
				} else {
					if ( (iy<=0) == (ix<=0) ) {
						if ( m > p_res_t[j-1] && m >= p_res_b[j+1])
							_edgeType[j] = val;
					} else {
						if ( m > p_res_b[j-1] && m >= p_res_t[j+1])
							_edgeType[j] = val;
					}
				}
			}
		}
	}

	/*
	 *  Hystheresis
	 */
	int pic_x=edgeType.cols;
	int pic_y=edgeType.rows;
	int area = pic_x*pic_y;
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	unsigned int lines_idx=0;
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	int idx=0;

	vector<int> lines;
	edge.setTo(0);
	for(int i=1;i<pic_y-1;i++){
		for(int j=1;j<pic_x-1;j++){

			if( edgeType.data[idx+j] != 255 || edge.data[idx+j] != 0 )
				continue;

			edge.data[idx+j] = 255;
			lines_idx = 1;
			lines.clear();
			lines.push_back(idx+j);
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			unsigned int akt_idx = 0;
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			while(akt_idx<lines_idx){
				int akt_pos=lines[akt_idx];
				akt_idx++;

				if( akt_pos-pic_x-1 < 0 || akt_pos+pic_x+1 >= area )
					continue;

				for(int k1=-1;k1<2;k1++)
					for(int k2=-1;k2<2;k2++){
						if(edge.data[(akt_pos+(k1*pic_x))+k2]!=0 || edgeType.data[(akt_pos+(k1*pic_x))+k2]==0)
							continue;
						edge.data[(akt_pos+(k1*pic_x))+k2] = 255;
						lines.push_back((akt_pos+(k1*pic_x))+k2);
						lines_idx++;
					}
			}
		}
		idx+=pic_x;
	}

	return edge;
}


void PuRe::filterEdges(cv::Mat &edges)
{
	// TODO: there is room for improvement here; however, it is prone to small
	// mistakes; will be done when we have time
	int start_x = 5;
	int start_y = 5;
	int end_x = edges.cols - 5;
	int end_y = edges.rows - 5;

	for(int j=start_y; j<end_y; j++)
		for(int i=start_x; i<end_x; i++){
			uchar box[9];

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			box[4]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i)]);
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			if(box[4]){
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				box[1]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i)]);
				box[3]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i-1)]);
				box[5]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i+1)]);
				box[7]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i)]);
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				if((box[5] && box[7])) edges.data[(edges.cols*(j))+(i)]=0;
				if((box[5] && box[1])) edges.data[(edges.cols*(j))+(i)]=0;
				if((box[3] && box[7])) edges.data[(edges.cols*(j))+(i)]=0;
				if((box[3] && box[1])) edges.data[(edges.cols*(j))+(i)]=0;

			}
		}

	//too many neigbours
	for(int j=start_y; j<end_y; j++)
		for(int i=start_x; i<end_x; i++){
			uchar neig=0;

			for(int k1=-1;k1<2;k1++)
				for(int k2=-1;k2<2;k2++){

					if(edges.data[(edges.cols*(j+k1))+(i+k2)]>0)
						neig++;
				}

			if(neig>3)
				edges.data[(edges.cols*(j))+(i)]=0;

		}

	for(int j=start_y; j<end_y; j++)
		for(int i=start_x; i<end_x; i++){
			uchar box[17];

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			box[4]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i)]);
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			if(box[4]){
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				box[0]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i-1)]);
				box[1]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i)]);
				box[2]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i+1)]);
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				box[3]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i-1)]);
				box[5]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i+1)]);
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				box[6]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i-1)]);
				box[7]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i)]);
				box[8]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i+1)]);
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				//external
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				box[9]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i+2)]);
				box[10]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i)]);
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				box[11]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i+3)]);
				box[12]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i+2)]);
				box[13]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i+2)]);
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				box[14]=static_cast<uchar>(edges.data[(edges.cols*(j+3))+(i)]);
				box[15]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i-1)]);
				box[16]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i+1)]);
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				if( (box[10] && !box[7]) && (box[8] || box[6]) ){
					edges.data[(edges.cols*(j+1))+(i-1)]=0;
					edges.data[(edges.cols*(j+1))+(i+1)]=0;
					edges.data[(edges.cols*(j+1))+(i)]=255;
				}


				if( (box[14] && !box[7] && !box[10]) && ( (box[8] || box[6]) && (box[16] || box[15]) ) ){
					edges.data[(edges.cols*(j+1))+(i+1)]=0;
					edges.data[(edges.cols*(j+1))+(i-1)]=0;
					edges.data[(edges.cols*(j+2))+(i+1)]=0;
					edges.data[(edges.cols*(j+2))+(i-1)]=0;
					edges.data[(edges.cols*(j+1))+(i)]=255;
					edges.data[(edges.cols*(j+2))+(i)]=255;
				}



				if( (box[9] && !box[5]) && (box[8] || box[2]) ){
					edges.data[(edges.cols*(j+1))+(i+1)]=0;
					edges.data[(edges.cols*(j-1))+(i+1)]=0;
					edges.data[(edges.cols*(j))+(i+1)]=255;
				}


				if( (box[11] && !box[5] && !box[9]) && ( (box[8] || box[2]) && (box[13] || box[12]) ) ){
					edges.data[(edges.cols*(j+1))+(i+1)]=0;
					edges.data[(edges.cols*(j-1))+(i+1)]=0;
					edges.data[(edges.cols*(j+1))+(i+2)]=0;
					edges.data[(edges.cols*(j-1))+(i+2)]=0;
					edges.data[(edges.cols*(j))+(i+1)]=255;
					edges.data[(edges.cols*(j))+(i+2)]=255;
				}

			}
		}

	for(int j=start_y; j<end_y; j++)
		for(int i=start_x; i<end_x; i++){

			uchar box[33];

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			box[4]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i)]);
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			if(box[4]){
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				box[0]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i-1)]);
				box[1]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i)]);
				box[2]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i+1)]);

				box[3]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i-1)]);
				box[5]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i+1)]);

				box[6]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i-1)]);
				box[7]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i)]);
				box[8]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i+1)]);

				box[9]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i+2)]);
				box[10]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i-2)]);
				box[11]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i+2)]);
				box[12]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i-2)]);

				box[13]=static_cast<uchar>(edges.data[(edges.cols*(j-2))+(i-1)]);
				box[14]=static_cast<uchar>(edges.data[(edges.cols*(j-2))+(i+1)]);
				box[15]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i-1)]);
				box[16]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i+1)]);

				box[17]=static_cast<uchar>(edges.data[(edges.cols*(j-3))+(i-1)]);
				box[18]=static_cast<uchar>(edges.data[(edges.cols*(j-3))+(i+1)]);
				box[19]=static_cast<uchar>(edges.data[(edges.cols*(j+3))+(i-1)]);
				box[20]=static_cast<uchar>(edges.data[(edges.cols*(j+3))+(i+1)]);

				box[21]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i+3)]);
				box[22]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i-3)]);
				box[23]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i+3)]);
				box[24]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i-3)]);

				box[25]=static_cast<uchar>(edges.data[(edges.cols*(j-2))+(i-2)]);
				box[26]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i+2)]);
				box[27]=static_cast<uchar>(edges.data[(edges.cols*(j-2))+(i+2)]);
				box[28]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i-2)]);

				box[29]=static_cast<uchar>(edges.data[(edges.cols*(j-3))+(i-3)]);
				box[30]=static_cast<uchar>(edges.data[(edges.cols*(j+3))+(i+3)]);
				box[31]=static_cast<uchar>(edges.data[(edges.cols*(j-3))+(i+3)]);
				box[32]=static_cast<uchar>(edges.data[(edges.cols*(j+3))+(i-3)]);
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				if( box[7] && box[2] && box[9] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box[7] && box[0] && box[10] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box[1] && box[8] && box[11] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box[1] && box[6] && box[12] )
					edges.data[(edges.cols*(j))+(i)]=0;

				if( box[0] && box[13] && box[17] && box[8] && box[11] && box[21] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box[2] && box[14] && box[18] && box[6] && box[12] && box[22] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box[6] && box[15] && box[19] && box[2] && box[9] && box[23] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box[8] && box[16] && box[20] && box[0] && box[10] && box[24] )
					edges.data[(edges.cols*(j))+(i)]=0;

				if( box[0] && box[25] && box[2] && box[27] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box[0] && box[25] && box[6] && box[28] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box[8] && box[26] && box[2] && box[27] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box[8] && box[26] && box[6] && box[28] )
					edges.data[(edges.cols*(j))+(i)]=0;

				uchar box2[18];
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				box2[1]=static_cast<uchar>(edges.data[(edges.cols*(j))+(i-1)]);
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				box2[2]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i-2)]);
				box2[3]=static_cast<uchar>(edges.data[(edges.cols*(j-2))+(i-3)]);
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				box2[4]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i+1)]);
				box2[5]=static_cast<uchar>(edges.data[(edges.cols*(j-2))+(i+2)]);
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				box2[6]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i-2)]);
				box2[7]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i-3)]);
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				box2[8]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i+1)]);
				box2[9]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i+2)]);
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				box2[10]=static_cast<uchar>(edges.data[(edges.cols*(j+1))+(i)]);
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				box2[15]=static_cast<uchar>(edges.data[(edges.cols*(j-1))+(i-1)]);
				box2[16]=static_cast<uchar>(edges.data[(edges.cols*(j-2))+(i-2)]);
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				box2[11]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i+1)]);
				box2[12]=static_cast<uchar>(edges.data[(edges.cols*(j+3))+(i+2)]);
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				box2[13]=static_cast<uchar>(edges.data[(edges.cols*(j+2))+(i-1)]);
				box2[14]=static_cast<uchar>(edges.data[(edges.cols*(j+3))+(i-2)]);
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				if( box2[1] && box2[2] && box2[3] && box2[4] && box2[5] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box2[1] && box2[6] && box2[7] && box2[8] && box2[9] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box2[10] && box2[11] && box2[12] && box2[4] && box2[5] )
					edges.data[(edges.cols*(j))+(i)]=0;
				if( box2[10] && box2[13] && box2[14] && box2[15] && box2[16] )
					edges.data[(edges.cols*(j))+(i)]=0;
			}

		}
}

void PuRe::findPupilEdgeCandidates(const Mat &intensityImage, Mat &edge, vector<PupilCandidate> &candidates)
{
	/* Find all lines
	 * Small note here: using anchor points tends to result in better ellipse fitting later!
	 * It's also faster than doing connected components and collecting the labels
	 */
	vector<Vec4i> hierarchy;
	vector<vector<Point> > curves;
	findContours( edge, curves, hierarchy, CV_RETR_LIST, CV_CHAIN_APPROX_TC89_KCOS );

	removeDuplicates(curves, edge.cols);

	// Create valid candidates
	for (size_t i=curves.size(); i-->0;) {
		PupilCandidate candidate(curves[i]);
		if (candidate.isValid(intensityImage, minPupilDiameterPx, maxPupilDiameterPx, outlineBias))
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			candidates.emplace_back( candidate );
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	}
}

void PuRe::combineEdgeCandidates(const cv::Mat &intensityImage, cv::Mat &edge, std::vector<PupilCandidate> &candidates)
{
	(void) edge;
	if (candidates.size() <= 1)
		return;
	vector<PupilCandidate> mergedCandidates;
	for (auto pc=candidates.begin(); pc!=candidates.end(); pc++) {
		for (auto pc2=pc+1; pc2!=candidates.end(); pc2++) {

			Rect intersection = pc->combinationRegion & pc2->combinationRegion;
			if (intersection.area() < 1)
				continue; // no intersection
//#define DBG_EDGE_COMBINATION
#ifdef DBG_EDGE_COMBINATION
			Mat tmp;
			cvtColor(intensityImage, tmp, CV_GRAY2BGR);
			rectangle(tmp, pc->combinationRegion, pc->color);
			for (unsigned int i=0; i<pc->points.size(); i++)
				cv::circle(tmp, pc->points[i], 1, pc->color, -1);
			rectangle(tmp, pc2->combinationRegion, pc2->color);
			for (unsigned int i=0; i<pc2->points.size(); i++)
				cv::circle(tmp, pc2->points[i], 1, pc2->color, -1);
			imshow("Combined edges", tmp);
			imwrite("combined.png", tmp);
			//waitKey(0);
#endif

			if (intersection.area() >= min<int>(pc->combinationRegion.area(),pc2->combinationRegion.area()))
				continue;

			vector<Point> mergedPoints = pc->points;
			mergedPoints.insert(mergedPoints.end(), pc2->points.begin(), pc2->points.end());
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			PupilCandidate candidate( std::move(mergedPoints) );
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			if (!candidate.isValid(intensityImage, minPupilDiameterPx, maxPupilDiameterPx, outlineBias))
				continue;
			if (candidate.outlineContrast < pc->outlineContrast || candidate.outlineContrast < pc2->outlineContrast)
				continue;
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			mergedCandidates.emplace_back( candidate );
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		}
	}
	candidates.insert( candidates.end(), mergedCandidates.begin(), mergedCandidates.end() );
}

void PuRe::searchInnerCandidates(vector<PupilCandidate> &candidates, PupilCandidate &candidate)
{
	if (candidates.size() <= 1)
		return;

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	float searchRadius = 0.5f*candidate.majorAxis;
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	vector<PupilCandidate> insiders;
	for (auto pc=candidates.begin(); pc!=candidates.end(); pc++) {
		if (searchRadius < pc->majorAxis)
			continue;
		if (norm( candidate.outline.center - pc->outline.center) > searchRadius)
			continue;
		if (pc->outlineContrast < 0.75)
			continue;
		insiders.push_back(*pc);
	}
	if (insiders.size() <= 0) {
		//ellipse(dbg, candidate.outline, Scalar(0,255,0));
		return;
	}

	sort( insiders.begin(), insiders.end() );
	candidate = insiders.back();

	//circle(dbg, searchCenter, searchRadius, Scalar(0,0,255),3);
	//candidate.draw(dbg);
	//imshow("dbg", dbg);
}

void PuRe::detect(Pupil &pupil)
{
	// 3.2 Edge Detection and Morphological Transformation
	Mat detectedEdges = canny(input, true, true, 64, 0.7f, 0.4f);

	//imshow("edges", detectedEdges);
#ifdef SAVE_ILLUSTRATION
	imwrite("edges.png", detectedEdges);
#endif
	filterEdges(detectedEdges);

	// 3.3 Segment Selection
	vector<PupilCandidate> candidates;
	findPupilEdgeCandidates(input, detectedEdges, candidates);
	if (candidates.size() <= 0)
		return;

	//for ( auto c = candidates.begin(); c != candidates.end(); c++)
	//	c->draw(dbg);

#ifdef SAVE_ILLUSTRATION
	float r = 255.0 / candidates.size();
	int i = 0;
	Mat candidatesImage;
	cvtColor(input, candidatesImage, CV_GRAY2BGR);
	for ( auto c = candidates.begin(); c != candidates.end(); c++) {
		Mat colorMat = (Mat_<uchar>(1,1) << i*r);
		applyColorMap(colorMat, colorMat, COLORMAP_HSV);
		c->color = colorMat.at<Vec3b>(0,0);
		c->draw(candidatesImage, c->color );
		i++;
	}
	imwrite ("input.png", input);
	imwrite ("filtered-edges.png", detectedEdges);
	imwrite("candidates.png", candidatesImage);
#endif

	// Combination
	combineEdgeCandidates(input, detectedEdges, candidates);
	for (auto c=candidates.begin(); c!=candidates.end(); c++) {
		if (c->outlineContrast < 0.5)
			c->score = 0;
		if (c->outline.size.area() > CV_PI*pow(0.5*maxPupilDiameterPx,2))
			c->score = 0;
		if (c->outline.size.area() < CV_PI*pow(0.5*minPupilDiameterPx,2))
			c->score = 0;
	}

	/*
	for ( int i=0; i<candidates.size(); i++) {
		Mat out;
		cvtColor(input, out, CV_GRAY2BGR);
		auto c = candidates[i];
		c.drawit(out, c.color);
		imwrite(QString("candidate-%1.png").arg(i).toStdString(), out);
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		//c.drawOutlineContrast(input, 5, QString("contrast-%1-%2.png").arg(i).arg(QString::number(c.score)));
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		//waitKey(0);
	}
	*/

	// Scoring
	sort( candidates.begin(), candidates.end() );
	PupilCandidate selected = candidates.back();

	//for ( auto c = candidates.begin(); c != candidates.end(); c++)
	//    c->draw(dbg);

	// Post processing
	searchInnerCandidates(candidates, selected);

	pupil = selected.outline;
	pupil.confidence = selected.outlineContrast;

#ifdef SAVE_ILLUSTRATION
	Mat out;
	cvtColor(input, out, CV_GRAY2BGR);
	ellipse(out, pupil, Scalar(0,255,0), 2);
	line(out, Point(pupil.center.x,0), Point(pupil.center.x,out.rows), Scalar(0,255,0), 2);
	line(out, Point(0,pupil.center.y), Point(out.cols,pupil.center.y), Scalar(0,255,0), 2);
	imwrite("out.png", out);
#endif
}

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Pupil PuRe::implDetect(const cv::Mat &frame, cv::Rect roi, const float &userMinPupilDiameterPx, const float &userMaxPupilDiameterPx)
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{
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	Pupil pupil;
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	init(frame);

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	estimateParameters(
				static_cast<int>(scalingRatio*frame.rows),
				static_cast<int>(scalingRatio*frame.cols)
				);
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	if (userMinPupilDiameterPx > 0)
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		minPupilDiameterPx = static_cast<int>(scalingRatio*userMinPupilDiameterPx);
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	if (userMaxPupilDiameterPx > 0)
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		maxPupilDiameterPx = static_cast<int>(scalingRatio*userMaxPupilDiameterPx);
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	// Downscaling
	Mat downscaled;
	resize(frame(roi), downscaled, Size(), scalingRatio, scalingRatio, CV_INTER_LINEAR);
	normalize(downscaled, input, 0, 255, NORM_MINMAX, CV_8U);

	//cvtColor(input, dbg, CV_GRAY2BGR);

	workingSize.width = input.cols;
	workingSize.height = input.rows;

	// Preallocate stuff for edge detection
	dx = Mat::zeros(workingSize, CV_32F);
	dy = Mat::zeros(workingSize, CV_32F);
	magnitude = Mat::zeros(workingSize, CV_32F);
	edgeType = Mat::zeros(workingSize, CV_8U);
	edge = Mat::zeros(workingSize, CV_8U);

	//cvtColor(input, dbg, CV_GRAY2BGR);
	//circle(dbg, Point(0.5*dbg.cols,0.5*dbg.rows), 0.5*minPupilDiameterPx, Scalar(0,0,0), 2);
	//circle(dbg, Point(0.5*dbg.cols,0.5*dbg.rows), 0.5*maxPupilDiameterPx, Scalar(0,0,0), 3);

	// Detection
	detect(pupil);

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	pupil.resize( 1.0f / scalingRatio, 1.0f / scalingRatio );
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	pupil.center += Point2f(roi.tl());
	//imshow("dbg", dbg);
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	return pupil;
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}

/*******************************************************************************
 *
 * Pupil Candidate Functions
 *
 ******************************************************************************/

inline bool PupilCandidate::isValid(const cv::Mat &intensityImage, const int &minPupilDiameterPx, const int &maxPupilDiameterPx, const int bias)
{
	if (points.size() < 5)
		return false;

	float maxGap = 0;
	for (auto p1=points.begin(); p1!=points.end(); p1++) {
		for (auto p2=p1+1; p2!=points.end(); p2++) {
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			float gap = static_cast<float>(norm(*p2-*p1));
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			if (gap > maxGap)
				maxGap = gap;
		}
	}

	if ( maxGap >= maxPupilDiameterPx )
		return false;
	if ( maxGap <= minPupilDiameterPx )
		return false;

	outline = fitEllipse(points);
	boundaries = {0, 0, intensityImage.cols, intensityImage.rows};

	if (!boundaries.contains(outline.center))
		return false;

	if (!fastValidityCheck(maxPupilDiameterPx) )
		return false;

	pointsMinAreaRect = minAreaRect(points);
	if (ratio(pointsMinAreaRect.size.width,pointsMinAreaRect.size.height) < minCurvatureRatio)
		return false;

	if (!validityCheck(intensityImage, bias))
		return false;

	updateScore();
	return true;
}

inline bool PupilCandidate::fastValidityCheck(const int &maxPupilDiameterPx)
{
	pair<float,float> axis = minmax(outline.size.width, outline.size.height);
	minorAxis = axis.first;
	majorAxis = axis.second;
	aspectRatio = minorAxis / majorAxis;

	if (aspectRatio < minCurvatureRatio)
		return false;

	if (majorAxis > maxPupilDiameterPx)
		return false;

	combinationRegion = boundingRect(points);
	combinationRegion.width = max<int>(combinationRegion.width, combinationRegion.height);
	combinationRegion.height = combinationRegion.width;

	return true;
}

inline bool PupilCandidate::validateOutlineContrast(const Mat &intensityImage, const int &bias)
{
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	outlineContrast = PupilDetectionMethod::outlineContrastConfidence(intensityImage, outline, bias);
	if (outlineContrast <= 0)
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		return false;
	return true;
}

inline bool PupilCandidate::validateAnchorDistribution()
{
	anchorPointSlices.reset();
	for (auto p=points.begin(); p!=points.end(); p++) {
		if (p->x - outline.center.x < 0) {
			if (p->y - outline.center.y < 0)
				anchorPointSlices.set(Q0);
			else
				anchorPointSlices.set(Q3);
		} else  {
			if (p->y - outline.center.y < 0)
				anchorPointSlices.set(Q1);
			else
				anchorPointSlices.set(Q2);
		}
	}
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	anchorDistribution = anchorPointSlices.count() / static_cast<float>(anchorPointSlices.size());
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	return true;
}


inline bool PupilCandidate::validityCheck(const cv::Mat &intensityImage, const int &bias)
{
	mp = std::accumulate(points.begin(), points.end(), cv::Point(0,0) );
	mp.x = std::roundf(mp.x / points.size());
	mp.y = std::roundf(mp.y / points.size());

	outline.points(v);
	std::vector<cv::Point2f> pv(v, v+sizeof(v)/sizeof(v[0]));
	if (cv::pointPolygonTest(pv, mp, false) <= 0)
		return false;

	if (!validateAnchorDistribution())
		return false;

	if (!validateOutlineContrast(intensityImage, bias))
		return false;

	return true;
}