vpMeNurbs.cpp

/****************************************************************************
 *
 * ViSP, open source Visual Servoing Platform software.
 * Copyright (C) 2005 - 2019 by Inria. All rights reserved.
 *
 * This software is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 * See the file LICENSE.txt at the root directory of this source
 * distribution for additional information about the GNU GPL.
 *
 * For using ViSP with software that can not be combined with the GNU
 * GPL, please contact Inria about acquiring a ViSP Professional
 * Edition License.
 *
 * See http://visp.inria.fr for more information.
 *
 * This software was developed at:
 * Inria Rennes - Bretagne Atlantique
 * Campus Universitaire de Beaulieu
 * 35042 Rennes Cedex
 * France
 *
 * If you have questions regarding the use of this file, please contact
 * Inria at visp@inria.fr
 *
 * This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
 * WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
 *
 * Description:
 * Moving edges.
 *
 *****************************************************************************/
 
#include <cmath>  // std::fabs
#include <limits> // numeric_limits
#include <stdlib.h>
#include <visp3/core/vpImageConvert.h>
#include <visp3/core/vpImageFilter.h>
#include <visp3/core/vpImagePoint.h>
#include <visp3/core/vpImageTools.h>
#include <visp3/core/vpMath.h>
#include <visp3/core/vpRect.h>
#include <visp3/core/vpRobust.h>
#include <visp3/core/vpTrackingException.h>
#include <visp3/me/vpMe.h>
#include <visp3/me/vpMeNurbs.h>
#include <visp3/me/vpMeSite.h>
#include <visp3/me/vpMeTracker.h>
#ifdef VISP_HAVE_OPENCV
#if (VISP_HAVE_OPENCV_VERSION >= 0x020101) // Require opencv >= 2.1.1
//#    include <opencv2/imgproc/imgproc.hpp>
#include <opencv2/imgproc/imgproc_c.h>
#else
#include <cv.h>
#endif
#endif
 
double computeDelta(double deltai, double deltaj);
void findAngle(const vpImage<unsigned char> &I, const vpImagePoint &iP, vpMe *me, double &angle, double &convlt);
vpImagePoint findFirstBorder(const vpImage<unsigned char> &Isub, const vpImagePoint &iP);
bool findCenterPoint(std::list<vpImagePoint> *ip_edges_list);
#ifdef VISP_BUILD_DEPRECATED_FUNCTIONS
vp_deprecated bool findCenterPoint(vpList<vpImagePoint> *ip_edges_list);
#endif
 
// Compute the angle delta = arctan(deltai/deltaj)
// and normalize it between 0 and pi
double computeDelta(double deltai, double deltaj)
{
  double delta;
  delta = atan2(deltai, deltaj);
  delta -= M_PI / 2.0;
  while (delta > M_PI) {
    delta -= M_PI;
  }
  while (delta < 0) {
    delta += M_PI;
  }
  return (delta);
}
 
// Check if the image point is in the image and not to close to
// its edge to enable the computation of a convolution whith a mask.
static bool outOfImage(const vpImagePoint &iP, int half, int rows, int cols)
{
  return ((iP.get_i() < half + 1) || (iP.get_i() > (rows - half - 3)) || (iP.get_j() < half + 1) ||
          (iP.get_j() > (cols - half - 3)));
}
 
// if iP is a edge point, it computes the angle corresponding to the
// highest convolution result. the angle is between 0 an 179.
// The result gives the angle in RADIAN + pi/2 (to deal with the moving edeg
// alpha angle)  and the corresponding convolution result.
void findAngle(const vpImage<unsigned char> &I, const vpImagePoint &iP, vpMe *me, double &angle, double &convlt)
{
  int Iheight = (int)I.getHeight();
  int Iwidth = (int)I.getWidth();
  angle = 0.0;
  convlt = 0.0;
  for (int i = 0; i < 180; i++) {
    double conv = 0.0;
    unsigned int half;
    half = (me->getMaskSize() - 1) >> 1;
 
    if (outOfImage(iP, (int)half + me->getStrip(), Iheight, Iwidth)) {
      conv = 0.0;
    } else {
      int index_mask;
 
      if (me->getAngleStep() != 0)
        index_mask = (int)(i / (double)me->getAngleStep());
      else
        throw(vpException(vpException::divideByZeroError, "angle step = 0"));
 
      unsigned int ihalf = (unsigned int)(iP.get_i() - half);
      unsigned int jhalf = (unsigned int)(iP.get_j() - half);
      unsigned int a;
      unsigned int b;
      for (a = 0; a < me->getMaskSize(); a++) {
        unsigned int ihalfa = ihalf + a;
        for (b = 0; b < me->getMaskSize(); b++) {
          conv += me->getMask()[index_mask][a][b] * I(ihalfa, jhalf + b);
        }
      }
    }
    conv = fabs(conv);
    if (conv > convlt) {
      convlt = conv;
      angle = vpMath::rad(i);
      angle += M_PI / 2;
      while (angle > M_PI) {
        angle -= M_PI;
      }
      while (angle < 0) {
        angle += M_PI;
      }
    }
  }
}
 
// Find the point belonging to the edge of the sub image which respects the
// following hypotheses:
//- the value of the pixel is upper than zero.
//- the distantce between the point and iP is less than 4 pixels.
// The function returns the nearest point of iP which respect the hypotheses
// If no point is found the returned point is (-1,-1)
vpImagePoint findFirstBorder(const vpImage<unsigned char> &Isub, const vpImagePoint &iP)
{
  double dist = 1e6;
  double dist_1 = 1e6;
  vpImagePoint index(-1, -1);
  for (unsigned int i = 0; i <= Isub.getHeight(); i++) {
    for (unsigned int j = 0; j <= Isub.getWidth(); j++) {
      if (i == 0 || i == Isub.getHeight() - 1 || j == 0 || j == Isub.getWidth() - 1) {
        if (Isub(i, j) > 0) {
          dist = vpImagePoint::sqrDistance(vpImagePoint(iP), vpImagePoint(i, j));
          if (dist <= 16 && dist < dist_1) {
            dist_1 = dist;
            index.set_ij(i, j);
          }
        }
      }
    }
  }
  return index;
}
 
#ifdef VISP_BUILD_DEPRECATED_FUNCTIONS
// Check if the list of vpImagePoint contains a distant point of less tha 4
// pixels  from the center of the sub image (ie the point (15,15).
vp_deprecated bool findCenterPoint(vpList<vpImagePoint> *ip_edges_list)
{
  ip_edges_list->front();
  while (!ip_edges_list->outside()) {
    vpImagePoint iP = ip_edges_list->value();
    double dist = vpImagePoint::sqrDistance(iP, vpImagePoint(15, 15));
    if (dist <= 16) {
      return true;
    }
    ip_edges_list->next();
  }
  return false;
}
#endif
 
// Check if the list of vpImagePoint contains a distant point of less tha 4
// pixels  from the center of the sub image (ie the point (15,15).
bool findCenterPoint(std::list<vpImagePoint> *ip_edges_list)
{
  for (std::list<vpImagePoint>::const_iterator it = ip_edges_list->begin(); it != ip_edges_list->end(); ++it) {
    vpImagePoint iP = *it;
    double dist = vpImagePoint::sqrDistance(iP, vpImagePoint(15, 15));
    if (dist <= 16) {
      return true;
    }
  }
  return false;
}
 
/***************************************/
 
vpMeNurbs::vpMeNurbs()
  : nurbs(), dist(0.), nbControlPoints(20), beginPtFound(0), endPtFound(0), enableCannyDetection(false), cannyTh1(100.),
    cannyTh2(200.)
{
}
 
vpMeNurbs::vpMeNurbs(const vpMeNurbs &menurbs)
  : vpMeTracker(menurbs), nurbs(menurbs.nurbs), dist(0.), nbControlPoints(20), beginPtFound(0), endPtFound(0),
    enableCannyDetection(false), cannyTh1(100.), cannyTh2(200.)
{
  dist = menurbs.dist;
  nbControlPoints = menurbs.nbControlPoints;
  beginPtFound = menurbs.beginPtFound;
  endPtFound = menurbs.endPtFound;
  enableCannyDetection = menurbs.enableCannyDetection;
  cannyTh1 = menurbs.cannyTh1;
  cannyTh2 = menurbs.cannyTh2;
}
 
vpMeNurbs::~vpMeNurbs() {}
 
void vpMeNurbs::initTracking(const vpImage<unsigned char> &I)
{
  std::list<vpImagePoint> ptList;
  vpImagePoint pt;
  vpMouseButton::vpMouseButtonType b;
 
  while (vpDisplay::getClick(I, pt, b)) {
    if (b == vpMouseButton::button1) {
      // std::cout<<pt<<std::endl;
      ptList.push_back(pt);
      vpDisplay::displayCross(I, pt, 10, vpColor::green);
      vpDisplay::flush(I);
    }
    if (b == vpMouseButton::button3)
      break;
  }
  if (ptList.size() > 3)
    initTracking(I, ptList);
  else
    throw(vpException(vpException::notInitialized, "Not enough points to initialize the Nurbs"));
}
 
void vpMeNurbs::initTracking(const vpImage<unsigned char> &I, const std::list<vpImagePoint> &ptList)
{
  nurbs.globalCurveInterp(ptList);
 
  sample(I);
 
  vpMeTracker::initTracking(I);
  track(I);
}
 
void vpMeNurbs::sample(const vpImage<unsigned char> &I, bool doNotTrack)
{
  (void)doNotTrack;
  int rows = (int)I.getHeight();
  int cols = (int)I.getWidth();
  double step = 1.0 / (double)me->getPointsToTrack();
 
  // Delete old list
  list.clear();
 
  double u = 0.0;
  vpImagePoint *pt = NULL;
  vpImagePoint pt_1(-rows, -cols);
  while (u <= 1.0) {
    if (pt != NULL)
      delete[] pt;
    pt = nurbs.computeCurveDersPoint(u, 1);
    double delta = computeDelta(pt[1].get_i(), pt[1].get_j());
 
    // If point is in the image, add to the sample list
    if (!outOfImage(pt[0], 0, rows, cols) &&
        vpImagePoint::sqrDistance(pt[0], pt_1) >= vpMath::sqr(me->getSampleStep())) {
      vpMeSite pix; //= list.value();
      pix.init(pt[0].get_i(), pt[0].get_j(), delta);
      pix.setDisplay(selectDisplay);
 
      list.push_back(pix);
      pt_1 = pt[0];
    }
    u = u + step;
  }
  if (pt != NULL)
    delete[] pt;
}
 
void vpMeNurbs::suppressPoints()
{
  for (std::list<vpMeSite>::iterator it = list.begin(); it != list.end();) {
    vpMeSite s = *it; // current reference pixel
 
    if (s.getState() != vpMeSite::NO_SUPPRESSION) {
      it = list.erase(it);
    } else
      ++it;
  }
}
 
void vpMeNurbs::updateDelta()
{
  double u = 0.0;
  double d = 1e6;
  double d_1 = 1e6;
  std::list<vpMeSite>::iterator it = list.begin();
 
  vpImagePoint Cu;
  vpImagePoint *der = NULL;
  double step = 0.01;
  while (u < 1 && it != list.end()) {
    vpMeSite s = *it;
    vpImagePoint pt(s.i, s.j);
    while (d <= d_1 && u < 1) {
      Cu = nurbs.computeCurvePoint(u);
      d_1 = d;
      d = vpImagePoint::distance(pt, Cu);
      u += step;
    }
 
    u -= step;
    if (der != NULL)
      delete[] der;
    der = nurbs.computeCurveDersPoint(u, 1);
    // vpImagePoint toto(der[0].get_i(),der[0].get_j());
    // vpDisplay::displayCross(I,toto,4,vpColor::red);
 
    s.alpha = computeDelta(der[1].get_i(), der[1].get_j());
    *it = s;
    ++it;
    d = 1e6;
    d_1 = 1.5e6;
  }
  if (der != NULL)
    delete[] der;
}
 
void vpMeNurbs::seekExtremities(const vpImage<unsigned char> &I)
{
  int rows = (int)I.getHeight();
  int cols = (int)I.getWidth();
 
  vpImagePoint *begin = NULL;
  vpImagePoint *end = NULL;
 
  begin = nurbs.computeCurveDersPoint(0.0, 1);
  end = nurbs.computeCurveDersPoint(1.0, 1);
 
  // Check if the two extremities are not to close to eachother.
  double d = vpImagePoint::distance(begin[0], end[0]);
  double threshold = 3 * me->getSampleStep();
  double sample_step = me->getSampleStep();
  vpImagePoint pt;
  if (d > threshold /*|| (list.firstValue()).mask_sign != (list.lastValue()).mask_sign*/) {
    vpMeSite P;
 
    // Init vpMeSite
    P.init(begin[0].get_i(), begin[0].get_j(), (list.front()).alpha, 0, (list.front()).mask_sign);
    P.setDisplay(selectDisplay);
 
    // Set the range
    unsigned int memory_range = me->getRange();
    me->setRange(2);
 
    // Point at the beginning of the list
    bool beginPtAdded = false;
    vpImagePoint pt_max = begin[0];
    double angle = atan2(begin[1].get_i(), begin[1].get_j());
    double co = vpMath::abs(cos(angle));
    co = co * vpMath::sign(begin[1].get_j());
    double si = vpMath::abs(sin(angle));
    si = si * vpMath::sign(begin[1].get_i());
    for (int i = 0; i < 3; i++) {
      P.ifloat = P.ifloat - si * sample_step;
      P.i = (int)P.ifloat;
      P.jfloat = P.jfloat - co * sample_step;
      P.j = (int)P.jfloat;
      pt.set_ij(P.ifloat, P.jfloat);
      if (vpImagePoint::distance(end[0], pt) < threshold)
        break;
      if (!outOfImage(P.i, P.j, 5, rows, cols)) {
        P.track(I, me, false);
 
        if (P.getState() == vpMeSite::NO_SUPPRESSION) {
          list.push_front(P);
          beginPtAdded = true;
          pt_max = pt;
          if (vpDEBUG_ENABLE(3)) {
            vpDisplay::displayCross(I, pt, 5, vpColor::blue);
          }
        } else {
          if (vpDEBUG_ENABLE(3)) {
            vpDisplay::displayCross(I, pt, 10, vpColor::blue);
          }
        }
      }
    }
 
    if (!beginPtAdded)
      beginPtFound++;
 
    P.init(end[0].get_i(), end[0].get_j(), (list.back()).alpha, 0, (list.back()).mask_sign);
    P.setDisplay(selectDisplay);
 
    bool endPtAdded = false;
    angle = atan2(end[1].get_i(), end[1].get_j());
    co = vpMath::abs(cos(angle));
    co = co * vpMath::sign(end[1].get_j());
    si = vpMath::abs(sin(angle));
    si = si * vpMath::sign(end[1].get_i());
    for (int i = 0; i < 3; i++) {
      P.ifloat = P.ifloat + si * sample_step;
      P.i = (int)P.ifloat;
      P.jfloat = P.jfloat + co * sample_step;
      P.j = (int)P.jfloat;
      pt.set_ij(P.ifloat, P.jfloat);
      if (vpImagePoint::distance(begin[0], pt) < threshold)
        break;
      if (!outOfImage(P.i, P.j, 5, rows, cols)) {
        P.track(I, me, false);
 
        if (P.getState() == vpMeSite::NO_SUPPRESSION) {
          list.push_back(P);
          endPtAdded = true;
          if (vpDEBUG_ENABLE(3)) {
            vpDisplay::displayCross(I, pt, 5, vpColor::blue);
          }
        } else {
          if (vpDEBUG_ENABLE(3)) {
            vpDisplay::displayCross(I, pt, 10, vpColor::blue);
          }
        }
      }
    }
    if (!endPtAdded)
      endPtFound++;
    me->setRange(memory_range);
  } else {
    list.pop_front();
  }
  /*if(begin != NULL)*/ delete[] begin;
  /*if(end != NULL)  */ delete[] end;
}
 
#if (defined(VISP_HAVE_OPENCV) && (VISP_HAVE_OPENCV_VERSION < 0x030000))
void vpMeNurbs::seekExtremitiesCanny(const vpImage<unsigned char> &I)
#else
void vpMeNurbs::seekExtremitiesCanny(const vpImage<unsigned char> & /* I */)
#endif
{
#if (defined(VISP_HAVE_OPENCV) && (VISP_HAVE_OPENCV_VERSION < 0x030000))
  vpMeSite pt = list.front();
  vpImagePoint firstPoint(pt.ifloat, pt.jfloat);
  pt = list.back();
  vpImagePoint lastPoint(pt.ifloat, pt.jfloat);
  if (beginPtFound >= 3 && farFromImageEdge(I, firstPoint)) {
    vpImagePoint *begin = NULL;
    begin = nurbs.computeCurveDersPoint(0.0, 1);
    vpImage<unsigned char> Isub(32, 32); // Sub image.
    vpImagePoint topLeft(begin[0].get_i() - 15, begin[0].get_j() - 15);
    vpRect rect(topLeft, 32, 32);
 
    vpDisplay::displayRectangle(I, rect, vpColor::green);
 
    vpImageTools::crop(I, rect, Isub);
 
    vpImagePoint lastPtInSubIm(begin[0]);
    double u = 0.0;
    double step = 0.0001;
    // Find the point of the nurbs closest from the edge of the subImage and
    // in the subImage.
    while (inRectangle(lastPtInSubIm, rect) && u < 1) {
      u += step;
      lastPtInSubIm = nurbs.computeCurvePoint(u);
    }
 
    u -= step;
    if (u > 0)
      lastPtInSubIm = nurbs.computeCurvePoint(u);
 
#if (VISP_HAVE_OPENCV_VERSION >= 0x020408)
    vpImageFilter::canny(Isub, Isub, 3, cannyTh1, 3);
#else
    IplImage *Ip = NULL;
    vpImageConvert::convert(Isub, Ip);
 
    IplImage *dst = cvCreateImage(cvSize((int)Isub.getWidth(), (int)Isub.getHeight()), 8, 1);
    cvCanny(Ip, dst, cannyTh1, cannyTh2, 3);
 
    vpImageConvert::convert(dst, Isub);
#endif
 
    vpImagePoint firstBorder(-1, -1);
 
    firstBorder = findFirstBorder(Isub, lastPtInSubIm - topLeft);
 
    std::list<vpImagePoint> ip_edges_list;
    if (firstBorder != vpImagePoint(-1, -1)) {
      unsigned int dir;
      double fi = firstBorder.get_i();
      double fj = firstBorder.get_j();
      double w = Isub.getWidth() - 1;
      double h = Isub.getHeight() - 1;
      // if (firstBorder.get_i() == 0) dir = 4;
      if (std::fabs(fi) <= std::numeric_limits<double>::epsilon())
        dir = 4;
      // else if (firstBorder.get_i() == Isub.getHeight()-1) dir = 0;
      else if (std::fabs(fi - h) <= std::fabs(vpMath::maximum(fi, h)) * std::numeric_limits<double>::epsilon())
        dir = 0;
      // else if (firstBorder.get_j() == 0) dir = 2;
      else if (std::fabs(fj) <= std::numeric_limits<double>::epsilon())
        dir = 2;
      // else if (firstBorder.get_j() == Isub.getWidth()-1) dir = 6;
      else if (std::fabs(fj - w) <= std::fabs(vpMath::maximum(fj, w)) * std::numeric_limits<double>::epsilon())
        dir = 6;
      computeFreemanChainElement(Isub, firstBorder, dir);
      unsigned int firstDir = dir;
      ip_edges_list.push_back(firstBorder);
      vpImagePoint border(firstBorder);
      vpImagePoint dBorder;
      do {
        computeFreemanParameters(dir, dBorder);
        border = border + dBorder;
        vpDisplay::displayPoint(I, border + topLeft, vpColor::orange);
 
        ip_edges_list.push_back(border);
 
        computeFreemanChainElement(Isub, border, dir);
      } while ((border != firstBorder || dir != firstDir) && isInImage(Isub, border));
    }
 
    if (findCenterPoint(&ip_edges_list)) {
      for (std::list<vpMeSite>::iterator it = list.begin(); it != list.end();
           /*++it*/) {
        vpMeSite s = *it;
        vpImagePoint iP(s.ifloat, s.jfloat);
        if (inRectangle(iP, rect))
          it = list.erase(it);
        else
          break;
      }
 
      std::list<vpMeSite>::iterator itList = list.begin();
      double convlt;
      double delta = 0;
      int nbr = 0;
      std::list<vpMeSite> addedPt;
      for (std::list<vpImagePoint>::const_iterator itEdges = ip_edges_list.begin(); itEdges != ip_edges_list.end();
           ++itEdges) {
        vpMeSite s = *itList;
        vpImagePoint iPtemp = *itEdges + topLeft;
        vpMeSite pix;
        pix.init(iPtemp.get_i(), iPtemp.get_j(), delta);
        dist = vpMeSite::sqrDistance(s, pix);
        if (dist >= vpMath::sqr(me->getSampleStep()) /*25*/) {
          bool exist = false;
          for (std::list<vpMeSite>::const_iterator itAdd = addedPt.begin(); itAdd != addedPt.end(); ++itAdd) {
            dist = vpMeSite::sqrDistance(pix, *itAdd);
            if (dist < vpMath::sqr(me->getSampleStep()) /*25*/)
              exist = true;
          }
          if (!exist) {
            findAngle(I, iPtemp, me, delta, convlt);
            pix.init(iPtemp.get_i(), iPtemp.get_j(), delta, convlt);
            pix.setDisplay(selectDisplay);
            --itList;
            list.insert(itList, pix);
            ++itList;
            addedPt.push_front(pix);
            nbr++;
          }
        }
      }
 
      unsigned int memory_range = me->getRange();
      me->setRange(3);
      std::list<vpMeSite>::iterator itList2 = list.begin();
      for (int j = 0; j < nbr; j++) {
        vpMeSite s = *itList2;
        s.track(I, me, false);
        *itList2 = s;
        ++itList2;
      }
      me->setRange(memory_range);
    }
 
    /* if (begin != NULL) */ delete[] begin;
    beginPtFound = 0;
  }
 
  if (endPtFound >= 3 && farFromImageEdge(I, lastPoint)) {
    vpImagePoint *end = NULL;
    end = nurbs.computeCurveDersPoint(1.0, 1);
 
    vpImage<unsigned char> Isub(32, 32); // Sub image.
    vpImagePoint topLeft(end[0].get_i() - 15, end[0].get_j() - 15);
    vpRect rect(topLeft, 32, 32);
 
    vpDisplay::displayRectangle(I, rect, vpColor::green);
 
    vpImageTools::crop(I, rect, Isub);
 
    vpImagePoint lastPtInSubIm(end[0]);
    double u = 1.0;
    double step = 0.0001;
    // Find the point of the nurbs closest from the edge of the subImage and
    // in the subImage.
    while (inRectangle(lastPtInSubIm, rect) && u > 0) {
      u -= step;
      lastPtInSubIm = nurbs.computeCurvePoint(u);
    }
 
    u += step;
    if (u < 1.0)
      lastPtInSubIm = nurbs.computeCurvePoint(u);
 
#if (VISP_HAVE_OPENCV_VERSION >= 0x020408)
    vpImageFilter::canny(Isub, Isub, 3, cannyTh1, 3);
#else
    IplImage *Ip = NULL;
    vpImageConvert::convert(Isub, Ip);
 
    IplImage *dst = cvCreateImage(cvSize((int)Isub.getWidth(), (int)Isub.getHeight()), 8, 1);
    cvCanny(Ip, dst, cannyTh1, cannyTh2, 3);
 
    vpImageConvert::convert(dst, Isub);
#endif
 
    vpImagePoint firstBorder(-1, -1);
 
    firstBorder = findFirstBorder(Isub, lastPtInSubIm - topLeft);
 
    std::list<vpImagePoint> ip_edges_list;
    if (firstBorder != vpImagePoint(-1, -1)) {
      unsigned int dir;
      double fi = firstBorder.get_i();
      double fj = firstBorder.get_j();
      double w = Isub.getWidth() - 1;
      double h = Isub.getHeight() - 1;
      // if (firstBorder.get_i() == 0) dir = 4;
      if (std::fabs(fi) <= std::numeric_limits<double>::epsilon())
        dir = 4;
      // else if (firstBorder.get_i() == Isub.getHeight()-1) dir = 0;
      else if (std::fabs(fi - h) <= std::fabs(vpMath::maximum(fi, h)) * std::numeric_limits<double>::epsilon())
        dir = 0;
      // else if (firstBorder.get_j() == 0) dir = 2;
      else if (std::fabs(fj) <= std::numeric_limits<double>::epsilon())
        dir = 2;
      // else if (firstBorder.get_j() == Isub.getWidth()-1) dir = 6;
      else if (std::fabs(fj - w) <= std::fabs(vpMath::maximum(fj, w)) * std::numeric_limits<double>::epsilon())
        dir = 6;
 
      computeFreemanChainElement(Isub, firstBorder, dir);
      unsigned int firstDir = dir;
      ip_edges_list.push_back(firstBorder);
      vpImagePoint border(firstBorder);
      vpImagePoint dBorder;
      do {
        computeFreemanParameters(dir, dBorder);
        border = border + dBorder;
        vpDisplay::displayPoint(I, border + topLeft, vpColor::orange);
 
        ip_edges_list.push_back(border);
 
        computeFreemanChainElement(Isub, border, dir);
      } while ((border != firstBorder || dir != firstDir) && isInImage(Isub, border));
    }
 
    if (findCenterPoint(&ip_edges_list)) {
      //      list.end();
      vpMeSite s;
      while (true) //{//!list.outside())
      {
        s = list.back(); // list.value() ;
        vpImagePoint iP(s.ifloat, s.jfloat);
        if (inRectangle(iP, rect)) {
          list.erase(list.end());
          //          list.end();
        } else
          break;
      }
 
      std::list<vpMeSite>::iterator itList = list.end();
      --itList; // Move on the last element
      double convlt;
      double delta;
      int nbr = 0;
      std::list<vpMeSite> addedPt;
      for (std::list<vpImagePoint>::const_iterator itEdges = ip_edges_list.begin(); itEdges != ip_edges_list.end();
           ++itEdges) {
        s = *itList;
        vpImagePoint iPtemp = *itEdges + topLeft;
        vpMeSite pix;
        pix.init(iPtemp.get_i(), iPtemp.get_j(), 0);
        dist = vpMeSite::sqrDistance(s, pix);
        if (dist >= vpMath::sqr(me->getSampleStep())) {
          bool exist = false;
          for (std::list<vpMeSite>::const_iterator itAdd = addedPt.begin(); itAdd != addedPt.end(); ++itAdd) {
            dist = vpMeSite::sqrDistance(pix, *itAdd);
            if (dist < vpMath::sqr(me->getSampleStep()))
              exist = true;
          }
          if (!exist) {
            findAngle(I, iPtemp, me, delta, convlt);
            pix.init(iPtemp.get_i(), iPtemp.get_j(), delta, convlt);
            pix.setDisplay(selectDisplay);
            list.push_back(pix);
            addedPt.push_back(pix);
            nbr++;
          }
        }
      }
 
      unsigned int memory_range = me->getRange();
      me->setRange(3);
      std::list<vpMeSite>::iterator itList2 = list.end();
      --itList2; // Move to the last element
      for (int j = 0; j < nbr; j++) {
        vpMeSite me_s = *itList2;
        me_s.track(I, me, false);
        *itList2 = me_s;
        --itList2;
      }
      me->setRange(memory_range);
    }
 
    /* if (end != NULL) */ delete[] end;
    endPtFound = 0;
  }
#else
  vpTRACE("To use the canny detection, OpenCV has to be installed.");
#endif
}
 
void vpMeNurbs::reSample(const vpImage<unsigned char> &I)
{
  unsigned int n = numberOfSignal();
  double nbPt = floor(dist / me->getSampleStep());
 
  if ((double)n < 0.7 * nbPt) {
    sample(I);
    vpMeTracker::initTracking(I);
  }
}
 
void vpMeNurbs::localReSample(const vpImage<unsigned char> &I)
{
  int rows = (int)I.getHeight();
  int cols = (int)I.getWidth();
  vpImagePoint *iP = NULL;
 
  int n = (int)numberOfSignal();
 
  //  list.front();
  std::list<vpMeSite>::iterator it = list.begin();
  std::list<vpMeSite>::iterator itNext = list.begin();
  ++itNext;
 
  unsigned int range_tmp = me->getRange();
  me->setRange(2);
 
  while (itNext != list.end() && n <= me->getPointsToTrack()) {
    vpMeSite s = *it;          // current reference pixel
    vpMeSite s_next = *itNext; // current reference pixel
 
    double d = vpMeSite::sqrDistance(s, s_next);
    if (d > 4 * vpMath::sqr(me->getSampleStep()) && d < 1600) {
      vpImagePoint iP0(s.ifloat, s.jfloat);
      vpImagePoint iPend(s_next.ifloat, s_next.jfloat);
      vpImagePoint iP_1(s.ifloat, s.jfloat);
 
      double u = 0.0;
      double ubegin = 0.0;
      double uend = 0.0;
      double dmin1_1 = 1e6;
      double dmin2_1 = 1e6;
      while (u < 1) {
        u += 0.01;
        double dmin1 = vpImagePoint::sqrDistance(nurbs.computeCurvePoint(u), iP0);
        double dmin2 = vpImagePoint::sqrDistance(nurbs.computeCurvePoint(u), iPend);
 
        if (dmin1 < dmin1_1) {
          dmin1_1 = dmin1;
          ubegin = u;
        }
 
        if (dmin2 < dmin2_1) {
          dmin2_1 = dmin2;
          uend = u;
        }
      }
      u = ubegin;
 
      // if(( u != 1.0 || uend != 1.0)
      if ((std::fabs(u - 1.0) > std::fabs(vpMath::maximum(u, 1.0)) * std::numeric_limits<double>::epsilon()) ||
          (std::fabs(uend - 1.0) > std::fabs(vpMath::maximum(uend, 1.0)) * std::numeric_limits<double>::epsilon())) {
        iP = nurbs.computeCurveDersPoint(u, 1);
 
        while (vpImagePoint::sqrDistance(iP[0], iPend) > vpMath::sqr(me->getSampleStep()) && u < uend) {
          u += 0.01;
          /*if (iP!=NULL)*/ {
            delete[] iP;
            iP = NULL;
          }
          iP = nurbs.computeCurveDersPoint(u, 1);
          if (vpImagePoint::sqrDistance(iP[0], iP_1) > vpMath::sqr(me->getSampleStep()) &&
              !outOfImage(iP[0], 0, rows, cols)) {
            double delta = computeDelta(iP[1].get_i(), iP[1].get_j());
            vpMeSite pix; //= list.value();
            pix.init(iP[0].get_i(), iP[0].get_j(), delta);
            pix.setDisplay(selectDisplay);
            pix.track(I, me, false);
            if (pix.getState() == vpMeSite::NO_SUPPRESSION) {
              list.insert(it, pix);
              iP_1 = iP[0];
            }
          }
        }
        /*if (iP!=NULL)*/ {
          delete[] iP;
          iP = NULL;
        }
      }
    }
    ++it;
    ++itNext;
  }
  me->setRange(range_tmp);
}
 
void vpMeNurbs::supressNearPoints()
{
#if 0
  // Loop through list of sites to track
  list.front();
  while(!list.nextOutside())
  {
    vpMeSite s = list.value() ;//current reference pixel
    vpMeSite s_next = list.nextValue() ;//current reference pixel
 
    if(vpMeSite::sqrDistance(s,s_next) < vpMath::sqr(me->getSampleStep()))
    {
      s_next.setState(vpMeSite::TOO_NEAR);
 
      list.next();
      list.modify(s_next);
      if (!list.nextOutside()) list.next();
    }
    else
      list.next() ;
  }
#endif
  std::list<vpMeSite>::const_iterator it = list.begin();
  std::list<vpMeSite>::iterator itNext = list.begin();
  ++itNext;
  for (; itNext != list.end();) {
    vpMeSite s = *it;          // current reference pixel
    vpMeSite s_next = *itNext; // current reference pixel
 
    if (vpMeSite::sqrDistance(s, s_next) < vpMath::sqr(me->getSampleStep())) {
      s_next.setState(vpMeSite::TOO_NEAR);
 
      *itNext = s_next;
      ++it;
      ++itNext;
      if (itNext != list.end()) {
        ++it;
        ++itNext;
      }
    } else {
      ++it;
      ++itNext;
    }
  }
}
 
void vpMeNurbs::track(const vpImage<unsigned char> &I)
{
  // Tracking des vpMeSites
  vpMeTracker::track(I);
 
  // Suppress points which are too close to each other
  supressNearPoints();
 
  // Suppressions des points ejectes par le tracking
  suppressPoints();
 
  if (list.size() == 1)
    throw(vpTrackingException(vpTrackingException::notEnoughPointError, "Not enough valid me to track"));
 
  // Recalcule les parametres
  //  nurbs.globalCurveInterp(list);
  nurbs.globalCurveApprox(list, nbControlPoints);
 
  // On resample localement
  localReSample(I);
 
  seekExtremities(I);
  if (enableCannyDetection)
    seekExtremitiesCanny(I);
 
  //   nurbs.globalCurveInterp(list);
  nurbs.globalCurveApprox(list, nbControlPoints);
 
  double u = 0.0;
  vpImagePoint pt;
  vpImagePoint pt_1;
  dist = 0;
  while (u <= 1.0) {
    pt = nurbs.computeCurvePoint(u);
    // if(u!=0)
    if (std::fabs(u) > std::numeric_limits<double>::epsilon())
      dist = dist + vpImagePoint::distance(pt, pt_1);
    pt_1 = pt;
    u = u + 0.01;
  }
 
  updateDelta();
 
  reSample(I);
}
 
void vpMeNurbs::display(const vpImage<unsigned char> &I, const vpColor &color, unsigned int thickness)
{
  vpMeNurbs::display(I, nurbs, color, thickness);
}
 
bool vpMeNurbs::computeFreemanChainElement(const vpImage<unsigned char> &I, vpImagePoint &iP, unsigned int &element)
{
  vpImagePoint diP;
  vpImagePoint iPtemp;
  if (hasGoodLevel(I, iP)) {
    // get the point on the right of the point passed in
    computeFreemanParameters((element + 2) % 8, diP);
    iPtemp = iP + diP;
    if (hasGoodLevel(I, iPtemp)) {
      element = (element + 2) % 8; // turn right
    } else {
      computeFreemanParameters((element + 1) % 8, diP);
      iPtemp = iP + diP;
 
      if (hasGoodLevel(I, iPtemp)) {
        element = (element + 1) % 8; // turn diag right
      } else {
        computeFreemanParameters(element, diP);
        iPtemp = iP + diP;
 
        if (hasGoodLevel(I, iPtemp)) {
          // element = element;      // keep same dir
        } else {
          computeFreemanParameters((element + 7) % 8, diP);
          iPtemp = iP + diP;
 
          if (hasGoodLevel(I, iPtemp)) {
            element = (element + 7) % 8; // turn diag left
          } else {
            computeFreemanParameters((element + 6) % 8, diP);
            iPtemp = iP + diP;
 
            if (hasGoodLevel(I, iPtemp)) {
              element = (element + 6) % 8; // turn left
            } else {
              computeFreemanParameters((element + 5) % 8, diP);
              iPtemp = iP + diP;
 
              if (hasGoodLevel(I, iPtemp)) {
                element = (element + 5) % 8; // turn diag down
              } else {
                computeFreemanParameters((element + 4) % 8, diP);
                iPtemp = iP + diP;
 
                if (hasGoodLevel(I, iPtemp)) {
                  element = (element + 4) % 8; // turn down
                } else {
                  computeFreemanParameters((element + 3) % 8, diP);
                  iPtemp = iP + diP;
 
                  if (hasGoodLevel(I, iPtemp)) {
                    element = (element + 3) % 8; // turn diag right down
                  } else {
                    // No neighbor with a good level
                    //
                    return false;
                  }
                }
              }
            }
          }
        }
      }
    }
  } else {
    return false;
  }
  return true;
}
 
bool vpMeNurbs::hasGoodLevel(const vpImage<unsigned char> &I, const vpImagePoint &iP) const
{
  if (!isInImage(I, iP))
    return false;
 
  if (I((unsigned int)vpMath::round(iP.get_i()), (unsigned int)vpMath::round(iP.get_j())) > 0) {
    return true;
  } else {
    return false;
  }
}
 
bool vpMeNurbs::isInImage(const vpImage<unsigned char> &I, const vpImagePoint &iP) const
{
  return (iP.get_i() >= 0 && iP.get_j() >= 0 && iP.get_i() < I.getHeight() && iP.get_j() < I.getWidth());
}
 
void vpMeNurbs::computeFreemanParameters(unsigned int element, vpImagePoint &diP)
{
  /*
           5  6  7
            \ | /
             \|/
         4 ------- 0
             /|\
            / | \
           3  2  1
  */
  switch (element) {
  case 0: // go right
    diP.set_ij(0, 1);
    break;
 
  case 1: // go right top
    diP.set_ij(1, 1);
    break;
 
  case 2: // go top
    diP.set_ij(1, 0);
    break;
 
  case 3:
    diP.set_ij(1, -1);
    break;
 
  case 4:
    diP.set_ij(0, -1);
    break;
 
  case 5:
    diP.set_ij(-1, -1);
    break;
 
  case 6:
    diP.set_ij(-1, 0);
    break;
 
  case 7:
    diP.set_ij(-1, 1);
    break;
  }
}
 
bool vpMeNurbs::farFromImageEdge(const vpImage<unsigned char> &I, const vpImagePoint &iP)
{
  unsigned int height = I.getHeight();
  unsigned int width = I.getWidth();
  return (iP.get_i() < height - 20 && iP.get_j() < width - 20 && iP.get_i() > 20 && iP.get_j() > 20);
}
 
void vpMeNurbs::display(const vpImage<unsigned char> &I, vpNurbs &n, const vpColor &color, unsigned int thickness)
{
  double u = 0.0;
  vpImagePoint pt;
  while (u <= 1) {
    pt = n.computeCurvePoint(u);
    vpDisplay::displayCross(I, pt, 4, color, thickness);
    u += 0.01;
  }
}
 
void vpMeNurbs::display(const vpImage<vpRGBa> &I, vpNurbs &n, const vpColor &color, unsigned int thickness)
{
  double u = 0.0;
  vpImagePoint pt;
  while (u <= 1) {
    pt = n.computeCurvePoint(u);
    vpDisplay::displayCross(I, pt, 4, color, thickness);
    u += 0.01;
  }
}