From ad7b8da34e2a95bd64bde8b95b08f7054e843c0a Mon Sep 17 00:00:00 2001
From: even <philippe.even@loria.fr>
Date: Sat, 29 Dec 2018 01:34:01 +0100
Subject: [PATCH] Expe on synthetic images

---
 Article/Fig_hard/hardNew.png                  | Bin 0 -> 384355 bytes
 Article/Fig_hard/hardOld.png                  | Bin 0 -> 385550 bytes
 Article/Fig_method/algoAuto.tex               |   4 +-
 Article/Fig_method/algoMulti.tex              |  10 +-
 Article/Fig_synth/stats.txt                   |  26 +
 Article/Fig_synth/statsExample.png            | Bin 0 -> 71036 bytes
 Article/Fig_synth/statsTable.tex              |  20 +
 Article/Fig_synth/statsnewBounds.png          | Bin 0 -> 3042 bytes
 Article/Fig_synth/statsnewPoints.png          | Bin 0 -> 3466 bytes
 Article/Fig_synth/statsoldBounds.png          | Bin 0 -> 3089 bytes
 Article/Fig_synth/statsoldPoints.png          | Bin 0 -> 3422 bytes
 Article/biblio.bib                            |  10 +-
 Article/expe.tex                              |   4 +
 Article/expeHard.tex                          |  29 +
 Article/expeSynthese.tex                      |  41 ++
 Article/method.tex                            |  73 +--
 Code/Seg/BSTools/bsdetectionwidget.cpp        | 565 +++++++++++++-----
 Code/Seg/BSTools/bsdetectionwidget.h          |  12 +
 .../BlurredSegment/blurredsegmentproto.cpp    |   1 +
 .../DirectionalScanner/dynamicalscannero1.cpp |   6 +
 .../DirectionalScanner/dynamicalscannero8.cpp |   6 +
 Code/Seg/ImageTools/vr2i.h                    |   8 +
 22 files changed, 614 insertions(+), 201 deletions(-)
 create mode 100644 Article/Fig_hard/hardNew.png
 create mode 100644 Article/Fig_hard/hardOld.png
 create mode 100644 Article/Fig_synth/stats.txt
 create mode 100644 Article/Fig_synth/statsExample.png
 create mode 100644 Article/Fig_synth/statsTable.tex
 create mode 100644 Article/Fig_synth/statsnewBounds.png
 create mode 100644 Article/Fig_synth/statsnewPoints.png
 create mode 100644 Article/Fig_synth/statsoldBounds.png
 create mode 100644 Article/Fig_synth/statsoldPoints.png
 create mode 100755 Article/expeHard.tex
 create mode 100755 Article/expeSynthese.tex

diff --git a/Article/Fig_hard/hardNew.png b/Article/Fig_hard/hardNew.png
new file mode 100644
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diff --git a/Article/Fig_method/algoAuto.tex b/Article/Fig_method/algoAuto.tex
index 8c25e21..1931812 100644
--- a/Article/Fig_method/algoAuto.tex
+++ b/Article/Fig_method/algoAuto.tex
@@ -19,7 +19,7 @@
   \SetKwData{Begin}{Start}
   \SetKwData{End}{End}
   
-  \Input{Image \image, width \iwidth, height \iheight, resolution \resol}
+  \Input{Image \image, width \iwidth, height \iheight, sweeping step \resol}
   \Output{\textit{\bslist} $\rightarrow$ list of detected blurred segments}
   \BlankLine
   \bslist $\leftarrow$ \nullset\;
@@ -41,5 +41,5 @@
     $y \leftarrow y~+$ \resol\;
   }
   
-  \caption{AutoDetect: finds all blurred segments in the image.}
+  \caption{AutoDetect: finds all the blurred segments in the image.}
 \end{algorithm}
diff --git a/Article/Fig_method/algoMulti.tex b/Article/Fig_method/algoMulti.tex
index 84f36d4..7f37ef9 100644
--- a/Article/Fig_method/algoMulti.tex
+++ b/Article/Fig_method/algoMulti.tex
@@ -17,14 +17,14 @@
   
   \SetKwFunction{locmax}{ComputeAndSortGradientLocalMax}
   \SetKwFunction{sortgradmax}{SortByGradientMagnitude}
+  \SetKwFunction{updatemask}{UpdateOccupancyMask}
   \SetKwFunction{taille}{Size}
   \SetKwFunction{cardinal}{Card}
 
   \SetKwData{Begin}{Start}
   \SetKwData{End}{End}
   
-  \Input{Stroke points \pta, \ptb}
-  \Input{Occupancy mask \mask}
+  \Input{Stroke points \pta, \ptb, occupancy mask \mask}
   \Output{\textit{\bslist} $\rightarrow$ list of detected blurred segments}
   \BlankLine
   \bslist $\leftarrow$ \nullset\;
@@ -32,11 +32,9 @@
   \BlankLine
   \For{$i \leftarrow 0$ \KwTo \taille(\lm)}{
     \bseg $\leftarrow$ detect (\lm[i], \ortho, \eps, \mask)\;
-    \For{$j \leftarrow 0$ \KwTo \cardinal (\bseg)}{
-      \mask $\leftarrow$ \bseg[j]\;
-  }
+    \updatemask (\mask, \bseg)\;
     \bslist $\leftarrow$ \bseg\;
   }
   
-  \caption{MultiDetect: finds all blurred segments from input selection.}
+  \caption{MultiDetect: finds all the selected blurred segments.}
 \end{algorithm}
diff --git a/Article/Fig_synth/stats.txt b/Article/Fig_synth/stats.txt
new file mode 100644
index 0000000..e4b7240
--- /dev/null
+++ b/Article/Fig_synth/stats.txt
@@ -0,0 +1,26 @@
+  RESULTS FOR THE OLD DETECTOR
+56.515 (pm 16.826) segments searches (local min) / image
+21.223 (pm 5.31578) provided segments / image
+10.898 (pm 1.88339) provided long segments / image
+1.15 (pm 1.79798) undetected segments per image
+96.8287 (pm 0.608812) % of points found
+0.0154251 (pm 0.0252677) % of points found more than once (redetections)
+6.92689 (pm 1.0261) % false points produced
+Width difference : 2.08036 (0.266341) per matched segment
+Absolute width difference : 2.10178 (0.264193) per matched segment
+Angle difference : -0.00233791 (0.675674) degrees per matched segment
+Absolute angle difference : 0.872721 (0.780913) per matched segment
+Absolute long edge angle difference : 0.400459 (0.627538) per matched segment
+  RESULTS FOR THE NEW DETECTOR
+61.405 (pm 15.4125) segments searches (local min) / image
+27.334 (pm 6.37535) provided segments / image
+9.03 (pm 2.15261) provided long segments / image
+0.281 (pm 0.562455) undetected segments per image
+96.8063 (pm 0.615733) % of points found
+0.011969 (pm 0.0195106) % of points found more than once (redetections)
+6.5253 (pm 0.94361) % false points produced
+Width difference : 1.90539 (0.236267) per matched segment
+Absolute width difference : 1.94935 (0.230798) per matched segment
+Angle difference : 0.00697535 (0.724535) degrees per matched segment
+Absolute angle difference : 0.916683 (0.754317) per matched segment
+Long edge absolute angle difference : 0.336041 (0.595828) per matched segment
diff --git a/Article/Fig_synth/statsExample.png b/Article/Fig_synth/statsExample.png
new file mode 100644
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diff --git a/Article/Fig_synth/statsTable.tex b/Article/Fig_synth/statsTable.tex
new file mode 100644
index 0000000..497b19c
--- /dev/null
+++ b/Article/Fig_synth/statsTable.tex
@@ -0,0 +1,20 @@
+\begin{tabular}{|l||rcl|rcl|}
+\hline
+Number of input segments per image
+& 21.22 & $\pm$ & 5.32 & 27.33 & $\pm$ & 6.38 \\
+Number of long input segments per image
+& 10.90 & $\pm$ & 1.88 & 9.03 & $\pm$ & 2.15 \\
+Number of undetected segments per image
+& 1.15 & $\pm$ & 1.80 & 0.28 & $\pm$ & 0.56 \\
+Percentage of true segment area found
+& 96.83 & $\pm$ & 0.61 & 96.81 & $\pm$ & 0.62 \\
+Percentage of false segment area found
+& 6.9 & $\pm$ & 1.0 & 6.52 & $\pm$ & 0.94 \\
+Width difference (in pixels) to input segment
+& 2.08 & $\pm$ & 0.27 & 1.91 & $\pm$ & 0.24 \\
+Angle difference (in degrees) to input segment
+& 0.87 & $\pm$ & 0.78 & 0.92 & $\pm$ & 0.75 \\
+Long segment angle difference (in degrees)
+& 0.40 & $\pm$ & 0.63 & 0.34 & $\pm$ & 0.60 \\
+\hline
+\end{tabular}
diff --git a/Article/Fig_synth/statsnewBounds.png b/Article/Fig_synth/statsnewBounds.png
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diff --git a/Article/biblio.bib b/Article/biblio.bib
index 62f91c0..5df469a 100755
--- a/Article/biblio.bib
+++ b/Article/biblio.bib
@@ -56,7 +56,7 @@
   number = "6",
   pages = "1675--1684",
   year = "2007",
-  doi = "10.1016/j.patcog.2006.10.005"
+  optdoi = "10.1016/j.patcog.2006.10.005"
 }
 
 
@@ -81,7 +81,7 @@
   year = {2017},
   number = {2},
   pages = {35-54},
-  doi = {10.1016/j.patcog.2006.10.005}
+  optdoi = {10.1016/j.patcog.2006.10.005}
 }
 
 
@@ -124,7 +124,7 @@
   optmonth = apr,
   year = {2010},
   pages = {722--732},
-  doi = {10.1109/TPAMI.2008.300}
+  optdoi = {10.1109/TPAMI.2008.300}
 }
 
 
@@ -147,7 +147,7 @@
   publisher = {IEEE},
   year = {2015},
   pages = {507--511},
-  doi = {10.1109/ICIP.2015.7350850}
+  optdoi = {10.1109/ICIP.2015.7350850}
 }
 
 
@@ -161,5 +161,5 @@
   number = {01},
   year = {2012},
   pages = {1255002},
-  doi = {10.1142/S0218001412550026}
+  optdoi = {10.1142/S0218001412550026}
 }
diff --git a/Article/expe.tex b/Article/expe.tex
index 03c226d..c6e3634 100755
--- a/Article/expe.tex
+++ b/Article/expe.tex
@@ -9,6 +9,10 @@ detection followed by two refinement steps) is integrated as an option
 into the code of the new detector, so that both methods rely on the same
 optimized basic routines.
 
+\input{expeSynthese}
+
+\input{expeHard}
+
 The first test compares the computation times of both detectors on a
 selection of input strokes (\RefFig{fig:buro}). Results are displayed
 in \RefTab{tab:cmpOldNew}.
diff --git a/Article/expeHard.tex b/Article/expeHard.tex
new file mode 100755
index 0000000..953064d
--- /dev/null
+++ b/Article/expeHard.tex
@@ -0,0 +1,29 @@
+
+The second test (\RefFig{fig:hard}) compares the performance of both
+detectors on a quite difficult image with a lot of gradient noise. 
+The new detector provides less outliers and misaligned segments, and
+globally more relevant informations to infere the structure of the brick wall.
+\begin{figure}[h]
+%\center
+  \begin{tabular}{
+      c@{\hspace{0.1cm}}c@{\hspace{0.1cm}}c@{\hspace{0.1cm}}}
+    \includegraphics[width=0.32\textwidth]{Fig_method/parpaings.png} &
+    \includegraphics[width=0.32\textwidth]{Fig_hard/hardOld.png} &
+    \includegraphics[width=0.32\textwidth]{Fig_hard/hardNew.png}
+    \begin{picture}(1,1)
+      {\color{dwhite}{
+        \put(-286,4.5){\circle*{8}}
+        \put(-171,4.5){\circle*{8}}
+        \put(-58,4.5){\circle*{8}}
+      }}
+      \put(-288.5,2){a}
+      \put(-173.5,2){b}
+      \put(-60.5,2){c}
+    \end{picture}
+  \end{tabular}
+  \caption{Evaluation on a quite textured image:
+           1) imput image,
+           2) results of the old detector,
+           3) results of the new detector.}
+  \label{fig:hard}
+\end{figure}
diff --git a/Article/expeSynthese.tex b/Article/expeSynthese.tex
new file mode 100755
index 0000000..3589047
--- /dev/null
+++ b/Article/expeSynthese.tex
@@ -0,0 +1,41 @@
+
+The first test (\RefFig{fig:synth}) compares the performance of both
+detectors on a set of 1000 synthesized images containing 10 randomly
+placed straight segments with random width between 1 and 4 pixels.
+Altough this perfect world context with low gradient noise tends to soften
+the old detector weaknesses, the results of \RefTab{tab:synth} show slightly
+better measurements of width and angle on long segments for the new detector.
+The new detector generates more small segments that degrade the angle
+estimations, but it produces a smaller amount of false detections and
+succeeds in finding most of the segments.
+\begin{figure}[h]
+%\center
+  \begin{tabular}{
+      c@{\hspace{0.1cm}}c@{\hspace{0.1cm}}c@{\hspace{0.1cm}}c@{\hspace{0.1cm}}c}
+    \includegraphics[width=0.19\textwidth]{Fig_synth/statsExample.png} &
+    \includegraphics[width=0.19\textwidth]{Fig_synth/statsoldPoints.png} &
+    \includegraphics[width=0.19\textwidth]{Fig_synth/statsoldBounds.png} &
+    \includegraphics[width=0.19\textwidth]{Fig_synth/statsnewPoints.png} &
+    \includegraphics[width=0.19\textwidth]{Fig_synth/statsnewBounds.png}
+    \begin{picture}(1,1)
+      \put(-310,0){1)}
+      \put(-240,0){2)}
+      \put(-170,0){3)}
+      \put(-100,0){4)}
+      \put(-30,0){5)}
+    \end{picture}
+  \end{tabular}
+  \caption{Evaluation on synthesized images:
+           1) one of the test images,
+           2) output segments points from the old detector and
+           3) their minimal digital straight segments,
+           4) output segments points from the new detector and
+           5) their minimal digital straight segments.}
+  \label{fig:synth}
+\end{figure}
+\begin{table}
+\centering
+\input{Fig_synth/statsTable}
+\caption{Measured performance of both detectors on a set of synthesized images.}
+\label{tab:synth}
+\end{table}
diff --git a/Article/method.tex b/Article/method.tex
index b07121d..2371979 100755
--- a/Article/method.tex
+++ b/Article/method.tex
@@ -257,6 +257,8 @@ In order to avoid multiple detections of the same edge, an occupancy mask,
 initially empty, collects the dilated points of all the blurred segments,
 so that these points can not be added to another segment.
 
+\input{Fig_method/algoMulti}
+
 First the positions $M_j$ of the prominent local maxima of the gradient
 magnitude found under the stroke are sorted from the highest to the lowest.
 For each of them the main detection process is run with three modifications:
@@ -265,14 +267,13 @@ For each of them the main detection process is run with three modifications:
 $\vec{AB}_\perp$ to the stroke as input to build a static scan of fixed width
 $2~\varepsilon_{ini}$, and $M_j$ is used as start point of the blurred
 segment;
-\item the occupancy mask is filled in with the points of the detected blurred
-segments $\mathcal{B}_j''$ at the end of each successful detection;
+\item the occupancy mask is filled in with the points of the dilated blurred
+segments $\mathcal{B}_j''$ at the end of each successful detection
+(a 21 pixels bowl is used to get the segment dilation);
 \item points marked as occupied are rejected when selecting candidates for the
 blurred segment extension in the fine tracking step.
 \end{enumerate}
 
-\input{Fig_method/algoMulti}
-
 In edge selection mode (\RefFig{fig:edgeDir} b), the multi-detection
 algorithm is executed twice, first in main edge selection mode, then
 in opposite edge selection mode.
@@ -334,41 +335,41 @@ is described in Algorithm 2. A stroke that crosses the whole image, is
 swept in both direction, vertical then horizontal, from the center to
 the borders. At each position, the multi-detection algorithm is run
 to collect all the segments found under the stroke.
+In the present work, the stroke sweeping step $\delta$ is set to 10 pixels.
 
 \input{Fig_method/algoAuto}
 
-\RefFig{fig:evalAuto}b gives an idea of the automatic detection performance.
-In the example of \RefFig{fig:noisy}, hardly perceptible edges are detected
-despite of a quite textured context.
-Unsurpringly the length of the detected edges is linked to the initial
-value of the assigned width, but a large value also augments the rate
-of interfering outliers insertion.
-
-\begin{figure}[h]
-\center
-  \begin{tabular}{c@{\hspace{0.1cm}}c@{\hspace{0.1cm}}c}
-    \includegraphics[width=0.32\textwidth]{Fig_method/parpaings.png} &
-    \includegraphics[width=0.32\textwidth]{Fig_method/parpaings2.png} &
-    \includegraphics[width=0.32\textwidth]{Fig_method/parpaings3.png}
-  \end{tabular}
-  \begin{picture}(1,1)(0,0)
-    {\color{dwhite}{
-      \put(-286,-25.5){\circle*{8}}
-      \put(-171,-25.5){\circle*{8}}
-      \put(-58,-25.5){\circle*{8}}
-    }}
-    \put(-288.5,-28){a}
-    \put(-173.5,-28){b}
-    \put(-60.5,-28){c}
-  \end{picture}
-  \caption{Automatic detection of blurred segments on a textured image.
-           a) the input image,
-           b) automatic detection result with initial assigned width set
-           to 3 pixels,
-           c) automatic detection result with initial assigned width set
-           to 8 pixels.}
-  \label{fig:noisy}
-\end{figure}
+%\RefFig{fig:evalAuto}b gives an idea of the automatic detection performance.
+%In the example of \RefFig{fig:noisy}, hardly perceptible edges are detected
+%despite of a quite textured context.
+%Unsurpringly the length of the detected edges is linked to the initial
+%value of the assigned width, but a large value also augments the rate
+%of interfering outliers insertion.
+%
+%\begin{figure}[h]
+%\center \begin{tabular}{c@{\hspace{0.1cm}}c@{\hspace{0.1cm}}c}
+%    \includegraphics[width=0.32\textwidth]{Fig_method/parpaings.png} &
+%    \includegraphics[width=0.32\textwidth]{Fig_method/parpaings2.png} &
+%    \includegraphics[width=0.32\textwidth]{Fig_method/parpaings3.png}
+%  \end{tabular}
+%  \begin{picture}(1,1)(0,0)
+%    {\color{dwhite}{
+%      \put(-286,-25.5){\circle*{8}}
+%      \put(-171,-25.5){\circle*{8}}
+%      \put(-58,-25.5){\circle*{8}}
+%    }}
+%    \put(-288.5,-28){a}
+%    \put(-173.5,-28){b}
+%    \put(-60.5,-28){c}
+%  \end{picture}
+%  \caption{Automatic detection of blurred segments on a textured image.
+%           a) the input image,
+%           b) automatic detection result with initial assigned width set
+%           to 3 pixels,
+%           c) automatic detection result with initial assigned width set
+%           to 8 pixels.}
+%  \label{fig:noisy}
+%\end{figure}
 
 The automatic detection of blurred segments in a whole image is left
 available for testing in an online demonstration at the following address: \\
diff --git a/Code/Seg/BSTools/bsdetectionwidget.cpp b/Code/Seg/BSTools/bsdetectionwidget.cpp
index 04ae746..d8c432d 100755
--- a/Code/Seg/BSTools/bsdetectionwidget.cpp
+++ b/Code/Seg/BSTools/bsdetectionwidget.cpp
@@ -39,6 +39,7 @@ BSDetectionWidget::BSDetectionWidget (QWidget *parent)
   // Sets initial user outputs parameters
   alternate = 0;
   verbose = false;
+  stats = false;
   background = BACK_IMAGE;
   bsBoundsVisible = false;
   blevel = 0;
@@ -335,10 +336,6 @@ void BSDetectionWidget::mouseReleaseEvent (QMouseEvent *event)
     cerr << "p2 defined: " << p2.x () << " " << p2.y () << endl;
     detector.resetMaxDetections ();
     extract ();
-    if (detector.isMultiSelection ())
-      cout << detector.getBlurredSegments().size ()
-           << " blurred segments detected on "
-           << detector.countOfTrials () << " essais " << endl;
   }
 }
 
@@ -543,9 +540,6 @@ void BSDetectionWidget::keyPressEvent (QKeyEvent *event)
         udef = false;
         detector.resetMaxDetections ();
         extract ();
-        cout << detector.getBlurredSegments().size ()
-             << " blurred segments detected on "
-             << detector.countOfTrials () << " essais " << endl;
       }
       break;
 
@@ -783,6 +777,11 @@ void BSDetectionWidget::keyPressEvent (QKeyEvent *event)
       displayDetectionResult ();
       break;
 
+    case Qt::Key_Asterisk :
+      switchStats ();
+      displayDetectionResult ();
+      break;
+
     case Qt::Key_1 :
       switchPixelAnalyzer ();
       break;
@@ -1030,6 +1029,7 @@ void BSDetectionWidget::displayDetectionResult ()
       strucview->repaint ();
     }
     if (verbose) writeDetectionStatus ();
+    if (stats) writeStats ();
   }
 }
 
@@ -1097,6 +1097,60 @@ void BSDetectionWidget::clearSavedSegments ()
 }
 
 
+void BSDetectionWidget::writeStats ()
+{
+  vector<BlurredSegment *> bss = detector.getBlurredSegments ();
+  if (bss.empty ())
+  {
+    BlurredSegment *bs = detector.getBlurredSegment ();
+    if (bs != NULL)
+    {
+      Pt2i ptb = bs->getLastRight ();
+      Pt2i ptf = bs->getLastLeft ();
+      double length = sqrt ((ptb.x () - ptf.x ()) * (ptb.x () - ptf.x ())
+                              + (ptb.y () - ptf.y ()) * (ptb.y () - ptf.y ()));
+      cout << "Length : " << length << endl;
+      DigitalStraightSegment *dss = bs->getSegment ();
+      if (dss != NULL)
+      {
+        double width = dss->width () / (double) (dss->period ());
+        cout << "Width : " << width << endl;
+      }
+      else cout << "DSS null" << endl;
+    }
+  }
+  else
+  {
+    int nbdssnull = 0;
+    double ltotal = 0.;
+    double wtotal = 0.;
+    vector<BlurredSegment *>::iterator it = bss.begin ();
+    while (it != bss.end ())
+    {
+      Pt2i ptb = (*it)->getLastRight ();
+      Pt2i ptf = (*it)->getLastLeft ();
+      double length = sqrt ((ptb.x () - ptf.x ()) * (ptb.x () - ptf.x ())
+                            + (ptb.y () - ptf.y ()) * (ptb.y () - ptf.y ()));
+      ltotal += length;
+      DigitalStraightSegment *dss = (*it)->getSegment ();
+      if (dss != NULL)
+      {
+        double width = dss->width () / (double) (dss->period ());
+        wtotal += width * length;
+      }
+      else nbdssnull ++;
+      it ++;
+    }
+
+    cout << bss.size () << " blurred segments detected on "
+         << detector.countOfTrials () << " trials " << endl;
+    cout << "Mean length : " << ltotal / bss.size () << endl;
+    cout << "Mean width (per unit length) : " << wtotal / ltotal << endl;
+    cout << nbdssnull << " DSS null" << endl;
+  }
+}
+
+
 void BSDetectionWidget::writeDetectionStatus ()
 {
   int res = detector.result ();
@@ -1262,6 +1316,7 @@ QSize BSDetectionWidget::setRandomImage (int type)
 {
   width = 256;
   height = 256;
+  int longEdgeThreshold = 1600;
   loadedImage = QImage (width, height, QImage::Format_RGB32);
   srand (time (NULL));
   udef = false;
@@ -1282,6 +1337,10 @@ QSize BSDetectionWidget::setRandomImage (int type)
   int newTrials[nbruns];
   int oldDetections[nbruns];
   int newDetections[nbruns];
+  int oldLongDetections[nbruns];
+  int newLongDetections[nbruns];
+  int oldNbNomatch[nbruns];
+  int newNbNomatch[nbruns];
   int oldUndet[nbruns];
   int newUndet[nbruns];
   int oldRedet[nbruns];
@@ -1292,10 +1351,14 @@ QSize BSDetectionWidget::setRandomImage (int type)
   double newNbMatched[nbruns];
   double oldWidthDiff[nbruns];
   double newWidthDiff[nbruns];
-  double oldAbsDiff[nbruns];
-  double newAbsDiff[nbruns];
+  double oldAbsWDiff[nbruns];
+  double newAbsWDiff[nbruns];
   double oldAngDiff[nbruns];
   double newAngDiff[nbruns];
+  double oldAbsADiff[nbruns];
+  double newAbsADiff[nbruns];
+  double oldLongADiff[nbruns];
+  double newLongADiff[nbruns];
 
   for (int run = 0; run < nbruns; run ++)
   {
@@ -1353,11 +1416,9 @@ QSize BSDetectionWidget::setRandomImage (int type)
 
     if (dispEach) cout << "Analyzing the old blurred segments" << endl;
     for (int i = 0; i < nbsegs; i++) rbs[i].clear ();
-    int nbnomatch = 0;
-    int nbokortho = 0;
-    int nbokcolin = 0;
-    int nbokmid = 0;
+    oldNbNomatch[run] = 0;
     int nbdssnul = 0;
+    oldLongDetections[run] = 0;
     double nomatchlength = 0.;
     vector<BlurredSegment *> bss = detector.getBlurredSegments ();
     vector<BlurredSegment *>::iterator bsit = bss.begin ();
@@ -1388,34 +1449,30 @@ QSize BSDetectionWidget::setRandomImage (int type)
         Pt2i bsc ((ptb.x () + ptf.x ()) / 2, (ptb.y () + ptf.y ()) / 2);
         double bsl2 = (ptb.x () - ptf.x ()) * (ptb.x () - ptf.x ())
                       + (ptb.y () - ptf.y ()) * (ptb.y () - ptf.y ());
-        bool searching = true;
-        for (int si = 0; searching && si < nbsegs; si++)
+        if (bsl2 > longEdgeThreshold) oldLongDetections[run] ++;
+        double score[nbsegs];
+        double minscore = 0.;
+        int bestfit = -1;
+        for (int si = 0; si < nbsegs; si++)
         {
-          if (rdir[si].squaredVectorProduct (dssdir)
-              < 0.1 * rdir[si].norm2 () * dssdir.norm2 ())
+          double denom = rdir[si].norm2 () * dssdir.norm2 ();
+          score[si] = rdir[si].squaredScalarProduct (dssdir) / denom;
+          Vr2i bsac = rp1[si].vectorTo (bsc);
+          denom = rdir[si].norm2 () * bsac.norm2 ();
+          score[si] *= rdir[si].squaredScalarProduct (bsac) / denom;
+          if (rdir[si].scalarProduct (bsac) < 0) score[si] = 0.;
+          Vr2i bscb = bsc.vectorTo (rp2[si]);
+          if (rdir[si].scalarProduct (bscb) < 0) score[si] = 0.;
+          if (minscore < score[si])
           {
-            nbokortho ++;
-            Vr2i bsac = rp1[si].vectorTo (bsc);
-            if (rdir[si].squaredVectorProduct (bsac)
-                < 0.1 * rdir[si].norm2 () * bsac.norm2 ())
-            {
-              nbokcolin ++;
-              if (rdir[si].scalarProduct (bsac) > 0)
-              {
-                Vr2i bscb = bsc.vectorTo (rp2[si]);
-                if (rdir[si].scalarProduct (bscb) > 0)
-                {
-                  nbokmid ++;
-                  rbs[si].push_back (*bsit);
-                  searching = false;
-                }
-              }
-            }
+            minscore = score[si];
+            bestfit = si;
           }
         }
-        if (searching)
+        if (minscore > 0.7) rbs[bestfit].push_back (*bsit);
+        else
         {
-          nbnomatch ++;
+          oldNbNomatch[run] ++;
           nomatchlength += sqrt (bsl2);
         }
       }
@@ -1427,8 +1484,12 @@ QSize BSDetectionWidget::setRandomImage (int type)
     oldTrials[run] = detector.countOfTrials ();
     oldDetections[run] = (int) (detector.getBlurredSegments().size ());
     if (dispEach)
+    {
       cout << oldDetections[run] << " blurred segments detected on "
            << oldTrials[run] << " trials " << endl;
+      cout << oldLongDetections[run] << " long blurred segments detected on "
+           << oldTrials[run] << " trials " << endl;
+    }
     oldUndet[run] = 0;
     for (int i = 0; i < width * height; i++) if (virgin[i]) oldUndet[run] ++;
     if (dispEach)
@@ -1451,17 +1512,17 @@ QSize BSDetectionWidget::setRandomImage (int type)
       cout << oldFalse[run] << " false points detected on " << nbIniPts[run]
            << " (" << oldFalse[run] * 100 / (double) nbIniPts[run]
            << " %)" << endl;
-      cout << nbnomatch << " unmatched blurred segment (mean length : "
-           << (nbnomatch != 0 ? nomatchlength / nbnomatch : 0) << ")" << endl;
-      cout << nbokortho << " test ortho OK" << endl;
-      cout << nbokcolin << " test colin OK" << endl;
-      cout << nbokmid << " test mid OK" << endl;
+      cout << oldNbNomatch[run] << " unmatched blurred segment (mean length : "
+           << (oldNbNomatch[run] != 0 ? nomatchlength / oldNbNomatch[run] : 0)
+           << ")" << endl;
       cout << nbdssnul << " DSS nuls" << endl;
     }
 
     oldWidthDiff[run] = 0.;
-    oldAbsDiff[run] = 0.;
+    oldAbsWDiff[run] = 0.;
     oldAngDiff[run] = 0.;
+    oldAbsADiff[run] = 0.;
+    oldLongADiff[run] = 0.;
     oldNbMatched[run] = 0;
     for (int si = 0; si < nbsegs; si ++)
     {
@@ -1474,19 +1535,27 @@ QSize BSDetectionWidget::setRandomImage (int type)
         double bsl2 = (ptb.x () - ptf.x ()) * (ptb.x () - ptf.x ())
                       + (ptb.y () - ptf.y ()) * (ptb.y () - ptf.y ());
         DigitalStraightSegment *mydss = (*sit)->getSegment ();
-        double wd = (mydss->width () / (double) (mydss->period ()))
-                    * sqrt (bsl2) / sqrt (rdir[si].norm2 ()) - rw[si];
+        double wd = (mydss->width () / (double) (mydss->period ()) - rw[si])
+                    * sqrt (bsl2) / sqrt (rdir[si].norm2 ());
         oldWidthDiff[run] += wd;
         if (wd < 0) wd = -wd;
-        oldAbsDiff[run] += wd;
+        oldAbsWDiff[run] += wd;
         Vr2i mydir = mydss->supportVector ();
         double ang = rdir[si].scalarProduct (mydir);
-        if (ang < 0.) ang = - ang;
+        bool onleft = rdir[si].leftside (mydir);
+        if (ang < 0.)
+        {
+          ang = - ang;
+          onleft = - onleft;
+        }
         double den = sqrt (rdir[si].norm2 ()) * sqrt (mydir.norm2 ());
         if (den > ang)
         {
           ang = acos (ang / den) * 180 / M_PI;
-          oldAngDiff[run] += ang * sqrt (bsl2) / sqrt (rdir[si].norm2 ());
+          ang *= sqrt (bsl2) / sqrt (rdir[si].norm2 ());
+          oldAbsADiff[run] += ang;
+          oldAngDiff[run] += (onleft ? ang : -ang);
+          if (bsl2 > longEdgeThreshold) oldLongADiff[run] += ang;
         }
         sit ++;
       }
@@ -1498,10 +1567,16 @@ QSize BSDetectionWidget::setRandomImage (int type)
              oldWidthDiff[run] / oldNbMatched[run] : 0) << endl;
       cout << "Absolute width difference = "
          << (oldNbMatched[run] != 0 ?
-             oldAbsDiff[run] / oldNbMatched[run] : 0) << endl;
+             oldAbsWDiff[run] / oldNbMatched[run] : 0) << endl;
       cout << "Angle difference = "
            << (oldNbMatched[run] != 0 ?
                oldAngDiff[run] / oldNbMatched[run] : 0) << endl;
+      cout << "Absolute angle difference = "
+           << (oldNbMatched[run] != 0 ?
+               oldAbsADiff[run] / oldNbMatched[run] : 0) << endl;
+      cout << "Long edge angle difference = "
+           << (oldNbMatched[run] != 0 ?
+               oldLongADiff[run] / oldNbMatched[run] : 0) << endl;
     }
 
     if (dispEach) cout << "Resetting the result maps" << endl;
@@ -1517,12 +1592,9 @@ QSize BSDetectionWidget::setRandomImage (int type)
 
     if (dispEach) cout << "Analyzing the new blurred segments" << endl;
     for (int i = 0; i < nbsegs; i++) rbs[i].clear ();
-    nbnomatch = 0;
-    nomatchlength = 0.;
-    nbokortho = 0;
-    nbokcolin = 0;
-    nbokmid = 0;
+    newNbNomatch[run] = 0;
     nbdssnul = 0;
+    newLongDetections[run] = 0;
     nomatchlength = 0.;
     bss = detector.getBlurredSegments ();
     bsit = bss.begin ();
@@ -1553,34 +1625,30 @@ QSize BSDetectionWidget::setRandomImage (int type)
         Pt2i bsc ((ptb.x () + ptf.x ()) / 2, (ptb.y () + ptf.y ()) / 2);
         double bsl2 = (ptb.x () - ptf.x ()) * (ptb.x () - ptf.x ())
                       + (ptb.y () - ptf.y ()) * (ptb.y () - ptf.y ());
-        bool searching = true;
-        for (int si = 0; searching && si < nbsegs; si++)
+        if (bsl2 > longEdgeThreshold) newLongDetections[run] ++;
+        double score[nbsegs];
+        double minscore = 0.;
+        int bestfit = -1;
+        for (int si = 0; si < nbsegs; si++)
         {
-          if (rdir[si].squaredVectorProduct (dssdir)
-              < 0.1 * rdir[si].norm2 () * dssdir.norm2 ())
-          {
-            nbokortho ++;
-            Vr2i bsac = rp1[si].vectorTo (bsc);
-            if (rdir[si].squaredVectorProduct (bsac)
-                < 0.1 * rdir[si].norm2 () * bsac.norm2 ())
-            {
-              nbokcolin ++;
-              if (rdir[si].scalarProduct (bsac) > 0)
-              {
-                Vr2i bscb = bsc.vectorTo (rp2[si]);
-                if (rdir[si].scalarProduct (bscb) > 0)
-                {
-                  nbokmid ++;
-                  rbs[si].push_back (*bsit);
-                  searching = false;
-                }
-              }
-            }
+          double denom = rdir[si].norm2 () * dssdir.norm2 ();
+          score[si] = rdir[si].squaredScalarProduct (dssdir) / denom;
+          Vr2i bsac = rp1[si].vectorTo (bsc);
+          denom = rdir[si].norm2 () * bsac.norm2 (); 
+          score[si] *= rdir[si].squaredScalarProduct (bsac) / denom;
+          if (rdir[si].scalarProduct (bsac) < 0) score[si] = 0.;
+          Vr2i bscb = bsc.vectorTo (rp2[si]); 
+          if (rdir[si].scalarProduct (bscb) < 0) score[si] = 0.;
+          if (minscore < score[si])
+          { 
+            minscore = score[si];
+            bestfit = si;
           }
         }
-        if (searching)
+        if (minscore > 0.7) rbs[bestfit].push_back (*bsit);
+        else
         {
-          nbnomatch ++;
+          newNbNomatch[run] ++;
           nomatchlength += sqrt (bsl2);
         }
       }
@@ -1592,8 +1660,12 @@ QSize BSDetectionWidget::setRandomImage (int type)
     newTrials[run] = detector.countOfTrials ();
     newDetections[run] = (int) (detector.getBlurredSegments().size ());
     if (dispEach)
+    {
       cout << newDetections[run] << " blurred segments detected on "
            << newTrials[run] << " trials " << endl;
+      cout << newLongDetections[run] << " long blurred segments detected on "
+           << newTrials[run] << " trials " << endl;
+    }
     newUndet[run] = 0;
     for (int i = 0; i < width * height; i++) if (virgin[i]) newUndet[run] ++;
     if (dispEach)
@@ -1616,17 +1688,17 @@ QSize BSDetectionWidget::setRandomImage (int type)
       cout << newFalse[run] << " false points detected on " << nbIniPts[run]
            << " (" << newFalse[run] * 100 / (double) nbIniPts[run]
            << " %)" << endl;
-      cout << nbnomatch << " unmatched blurred segment (mean length : "
-           << (nbnomatch != 0 ? nomatchlength / nbnomatch : 0) << ")" << endl;
-      cout << nbokortho << " test ortho OK" << endl;
-      cout << nbokcolin << " test colin OK" << endl;
-      cout << nbokmid << " test mid OK" << endl;
+      cout << newNbNomatch[run] << " unmatched blurred segment (mean length : "
+           << (newNbNomatch[run] != 0 ? nomatchlength / newNbNomatch[run] : 0)
+           << ")" << endl;
       cout << nbdssnul << " DSS nuls" << endl;
     }
 
     newWidthDiff[run] = 0.;
-    newAbsDiff[run] = 0.;
+    newAbsWDiff[run] = 0.;
     newAngDiff[run] = 0.;
+    newAbsADiff[run] = 0.;
+    newLongADiff[run] = 0.;
     newNbMatched[run] = 0;
     for (int si = 0; si < nbsegs; si ++)
     {
@@ -1639,19 +1711,27 @@ QSize BSDetectionWidget::setRandomImage (int type)
         double bsl2 = (ptb.x () - ptf.x ()) * (ptb.x () - ptf.x ())
                       + (ptb.y () - ptf.y ()) * (ptb.y () - ptf.y ());
         DigitalStraightSegment *mydss = (*sit)->getSegment ();
-        double wd = (mydss->width () / (double) (mydss->period ()))
-                    * sqrt (bsl2) / sqrt (rdir[si].norm2 ()) - rw[si];
+        double wd = (mydss->width () / (double) (mydss->period ()) - rw[si])
+                    * sqrt (bsl2) / sqrt (rdir[si].norm2 ());
         newWidthDiff[run] += wd;
         if (wd < 0) wd = -wd;
-        newAbsDiff[run] += wd;
+        newAbsWDiff[run] += wd;
         Vr2i mydir = mydss->supportVector ();
         double ang = rdir[si].scalarProduct (mydir);
-        if (ang < 0.) ang = - ang;
+        bool onleft = rdir[si].leftside (mydir);
+        if (ang < 0.)
+        {
+          ang = - ang;
+          onleft = - onleft;
+        }
         double den = sqrt (rdir[si].norm2 ()) * sqrt (mydir.norm2 ());
         if (den > ang)
         {
           ang = acos (ang / den) * 180 / M_PI;
-          newAngDiff[run] += ang * sqrt (bsl2) / sqrt (rdir[si].norm2 ());
+          ang *= sqrt (bsl2) / sqrt (rdir[si].norm2 ());
+          newAbsADiff[run] += ang;
+          newAngDiff[run] += (onleft ? ang : -ang);
+          if (bsl2 > longEdgeThreshold) newLongADiff[run] += ang;
         }
         sit ++;
       }
@@ -1663,81 +1743,262 @@ QSize BSDetectionWidget::setRandomImage (int type)
                newWidthDiff[run] / newNbMatched[run] : 0) << endl;
       cout << "Absolute width difference = "
            << (newNbMatched[run] != 0 ?
-               newAbsDiff[run] / newNbMatched[run] : 0) << endl;
+               newAbsWDiff[run] / newNbMatched[run] : 0) << endl;
       cout << "Angle difference = "
            << (newNbMatched[run] != 0 ?
                newAngDiff[run] / newNbMatched[run] : 0) << endl;
+      cout << "Absolute angle difference = "
+           << (newNbMatched[run] != 0 ?
+               newAbsADiff[run] / newNbMatched[run] : 0) << endl;
+      cout << "Long edge angle difference = "
+           << (newNbMatched[run] != 0 ?
+               newLongADiff[run] / newNbMatched[run] : 0) << endl;
     }
   }
 
+  double mean, sdev, total;
   double total_nbIniPts = 0;
   for (int i = 0; i < nbruns; i++) total_nbIniPts += nbIniPts[i];
 
-  cout << "  BILAN OLD" << endl;
-  double total_oldTrials = 0.;
-  for (int i = 0; i < nbruns; i++) total_oldTrials += oldTrials[i];
-  cout << total_oldTrials / nbruns << " trials" << endl;
-  double total_oldDetections = 0.;
-  for (int i = 0; i < nbruns; i++) total_oldDetections += oldDetections[i];
-  cout << total_oldDetections / nbruns << " detections" << endl;
-  double total_oldOkdet = 0;
+  cout << "  RESULTS FOR THE OLD DETECTOR" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldTrials[i];
+  mean /= nbruns;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldTrials[i] - mean) * (oldTrials[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << mean << " (pm " << sdev
+       << ") segments searches (local min) / image" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldDetections[i];
+  mean /= nbruns;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldDetections[i] - mean) * (oldDetections[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << mean << " (pm " << sdev
+       << ") provided segments / image" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldLongDetections[i];
+  mean /= nbruns;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldLongDetections[i] - mean) * (oldLongDetections[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << mean << " (pm " << sdev
+       << ") provided long segments / image" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldNbNomatch[i];
+  mean /= nbruns;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldNbNomatch[i] - mean) * (oldNbNomatch[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << mean << " (pm " << sdev
+       << ") undetected segments per image" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += nbIniPts[i] - oldUndet[i];
+  mean /= total_nbIniPts;
+  for (int i = 0; i < nbruns; i++)
+    sdev += ((nbIniPts[i] - oldUndet[i]) / (double) nbIniPts[i] - mean)
+            * ((nbIniPts[i] - oldUndet[i]) / (double) nbIniPts[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << 100 * mean << " (pm " << 100 * sdev
+       << ") % of points found" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldRedet[i];
+  mean /= total_nbIniPts;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldRedet[i] / (double) nbIniPts[i] - mean)
+            * (oldRedet[i] / (double) nbIniPts[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << 100 * mean << " (pm " << 100 * sdev
+       << ") % of points found more than once (redetections)" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldFalse[i];
+  mean /= total_nbIniPts;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldFalse[i] / (double) nbIniPts[i] - mean)
+            * (oldFalse[i] / (double) nbIniPts[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << 100 * mean << " (pm " << 100 * sdev
+       << ") % false points produced" << endl;
+  total = 0;
+  for (int i = 0; i < nbruns; i++) total += oldNbMatched[i];
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldWidthDiff[i];
+  mean /= total;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldWidthDiff[i] / (double) oldNbMatched[i] - mean)
+            * (oldWidthDiff[i] / (double) oldNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Width difference : " << mean << " (" << sdev
+       << ") per matched segment" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldAbsWDiff[i];
+  mean /= total;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldAbsWDiff[i] / (double) oldNbMatched[i] - mean)
+            * (oldAbsWDiff[i] / (double) oldNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Absolute width difference : " << mean << " (" << sdev
+       << ") per matched segment" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldAngDiff[i];
+  mean /= total;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldAngDiff[i] / (double) oldNbMatched[i] - mean)
+            * (oldAngDiff[i] / (double) oldNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Angle difference : " << mean << " (" << sdev
+       << ") degrees per matched segment" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldAbsADiff[i];
+  mean /= total;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldAbsADiff[i] / (double) oldNbMatched[i] - mean)
+            * (oldAbsADiff[i] / (double) oldNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Absolute angle difference : " << mean << " (" << sdev
+       << ") per matched segment" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += oldLongADiff[i];
+  mean /= total;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (oldLongADiff[i] / (double) oldNbMatched[i] - mean)
+            * (oldLongADiff[i] / (double) oldNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Absolute long edge angle difference : " << mean << " (" << sdev
+       << ") per matched segment" << endl;
+
+  cout << "  RESULTS FOR THE NEW DETECTOR" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newTrials[i];
+  mean /= nbruns;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (newTrials[i] - mean) * (newTrials[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << mean << " (pm " << sdev
+       << ") segments searches (local min) / image" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newDetections[i];
+  mean /= nbruns;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (newDetections[i] - mean) * (newDetections[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << mean << " (pm " << sdev
+       << ") provided segments / image" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newLongDetections[i];
+  mean /= nbruns;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (newLongDetections[i] - mean) * (newLongDetections[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << mean << " (pm " << sdev
+       << ") provided long segments / image" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newNbNomatch[i];
+  mean /= nbruns;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (newNbNomatch[i] - mean) * (newNbNomatch[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << mean << " (pm " << sdev
+       << ") undetected segments per image" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += nbIniPts[i] - newUndet[i];
+  mean /= total_nbIniPts;
+  for (int i = 0; i < nbruns; i++)
+    sdev += ((nbIniPts[i] - newUndet[i]) / (double) nbIniPts[i] - mean)
+            * ((nbIniPts[i] - newUndet[i]) / (double) nbIniPts[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << 100 * mean << " (pm " << 100 * sdev
+       << ") % of points found" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newRedet[i];
+  mean /= total_nbIniPts;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (newRedet[i] / (double) nbIniPts[i]- mean)
+            * (newRedet[i] / (double) nbIniPts[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << 100 * mean << " (pm " << 100 * sdev
+       << ") % of points found more than once (redetections)" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newFalse[i];
+  mean /= total_nbIniPts;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (newFalse[i] / (double) nbIniPts[i] - mean)
+            * (newFalse[i] / (double) nbIniPts[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << 100 * mean << " (pm " << 100 * sdev
+       << ") % false points produced" << endl;
+  total = 0;
+  for (int i = 0; i < nbruns; i++) total += newNbMatched[i];
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newWidthDiff[i];
+  mean /= total;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (newWidthDiff[i] / (double) newNbMatched[i] - mean)
+            * (newWidthDiff[i] / (double) newNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Width difference : " << mean << " (" << sdev
+       << ") per matched segment" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newAbsWDiff[i];
+  mean /= total;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (newAbsWDiff[i] / (double) newNbMatched[i] - mean)
+            * (newAbsWDiff[i] / (double) newNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Absolute width difference : " << mean << " (" << sdev
+       << ") per matched segment" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newAngDiff[i];
+  mean /= total;
+  for (int i = 0; i < nbruns; i++)
+    sdev += (newAngDiff[i] / (double) newNbMatched[i] - mean)
+            * (newAngDiff[i] / (double) newNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Angle difference : " << mean << " (" << sdev
+       << ") degrees per matched segment" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newAbsADiff[i];
+  mean /= total;
   for (int i = 0; i < nbruns; i++)
-    total_oldOkdet += nbIniPts[i] - oldUndet[i];
-  cout << 100 * total_oldOkdet / total_nbIniPts << " % success" << endl;
-  double total_oldRedet = 0;
-  for (int i = 0; i < nbruns; i++) total_oldRedet += oldRedet[i];
-  cout << 100 * total_oldRedet / total_nbIniPts << " % coverture" << endl;
-  double total_oldFalse = 0;
-  for (int i = 0; i < nbruns; i++) total_oldFalse += oldFalse[i];
-  cout << 100 * total_oldFalse / total_nbIniPts
-       << " % false detections" << endl;
-  int total_nbmatched = 0;
-  for (int i = 0; i < nbruns; i++) total_nbmatched += oldNbMatched[i];
-  double total_widthdiff = 0;
-  for (int i = 0; i < nbruns; i++) total_widthdiff += oldWidthDiff[i];
-  cout << "Width difference : " << total_widthdiff / total_nbmatched
-       << " per matched segment" << endl;
-  double total_absdiff = 0;
-  for (int i = 0; i < nbruns; i++) total_absdiff += oldAbsDiff[i];
-  cout << "Absolute width difference : " << total_absdiff / total_nbmatched
-       << " per matched segment" << endl;
-  double total_angdiff = 0;
-  for (int i = 0; i < nbruns; i++) total_angdiff += oldAngDiff[i];
-  cout << "Angle difference : " << total_angdiff / total_nbmatched
-       << " degrees per matched segment" << endl;
-
-  cout << "  BILAN NEW" << endl;
-  double total_newTrials = 0.;
-  for (int i = 0; i < nbruns; i++) total_newTrials += newTrials[i];
-  cout << total_newTrials / nbruns << " trials" << endl;
-  double total_newDetections = 0;
-  for (int i = 0; i < nbruns; i++) total_newDetections += newDetections[i];
-  cout << total_newDetections / nbruns << " detections" << endl;
-  double total_newOkdet = 0;
+    sdev += (newAbsADiff[i] / (double) newNbMatched[i] - mean)
+            * (newAbsADiff[i] / (double) newNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Absolute angle difference : " << mean << " (" << sdev
+       << ") per matched segment" << endl;
+  mean = 0.;
+  sdev = 0.;
+  for (int i = 0; i < nbruns; i++) mean += newLongADiff[i];
+  mean /= total;
   for (int i = 0; i < nbruns; i++)
-    total_newOkdet += nbIniPts[i] - newUndet[i];
-  cout << 100 * total_newOkdet / total_nbIniPts << " % success" << endl;
-  double total_newRedet = 0;
-  for (int i = 0; i < nbruns; i++) total_newRedet += newRedet[i];
-  cout << 100 * total_newRedet / total_nbIniPts << " % coverture" << endl;
-  double total_newFalse = 0;
-  for (int i = 0; i < nbruns; i++) total_newFalse += newFalse[i];
-  cout << 100 * total_newFalse / total_nbIniPts
-       << " % false detections" << endl;
-  total_nbmatched = 0;
-  for (int i = 0; i < nbruns; i++) total_nbmatched += newNbMatched[i];
-  total_widthdiff = 0;
-  for (int i = 0; i < nbruns; i++) total_widthdiff += newWidthDiff[i];
-  cout << "Width difference : " << total_widthdiff / total_nbmatched
-       << " per matched segment" << endl;
-  total_absdiff = 0;
-  for (int i = 0; i < nbruns; i++) total_absdiff += newAbsDiff[i];
-  cout << "Absolute width difference : " << total_absdiff / total_nbmatched
-       << " per matched segment" << endl;
-  total_angdiff = 0;
-  for (int i = 0; i < nbruns; i++) total_angdiff += newAngDiff[i];
-  cout << "Angle difference : " << total_angdiff / total_nbmatched
-       << " degrees per matched segment" << endl;
+    sdev += (newLongADiff[i] / (double) newNbMatched[i] - mean)
+            * (newLongADiff[i] / (double) newNbMatched[i] - mean);
+  sdev = sqrt (sdev / (nbruns - 1));
+  cout << "Long edge absolute angle difference : " << mean << " (" << sdev
+       << ") per matched segment" << endl;
 
   cout << "Updating the displays" << endl;
   augmentedImage = loadedImage;
diff --git a/Code/Seg/BSTools/bsdetectionwidget.h b/Code/Seg/BSTools/bsdetectionwidget.h
index 5deb375..5aced00 100755
--- a/Code/Seg/BSTools/bsdetectionwidget.h
+++ b/Code/Seg/BSTools/bsdetectionwidget.h
@@ -128,6 +128,11 @@ public:
    */
   void switchHighlightColors ();
 
+  /**
+   * \brief Switches the extraction stats display on or off.
+   */
+  inline void switchStats () { stats = ! stats; }
+
   /**
    * \brief Switches the extraction result display on or off.
    */
@@ -241,6 +246,8 @@ private:
   int background;
   /** Black level used to lighten background images. */
   int blevel;
+  /** Flag indicating whether detection stats should be output. */
+  bool stats;
   /** Flag indicating whether detection result should be output. */
   bool verbose;
 
@@ -348,6 +355,11 @@ private:
    */
   void displayBackground ();
 
+  /**
+   * \brief Writes the stats of the last detection in a file.
+   */
+  void writeStats ();
+
   /**
    * \brief Writes the result of the last detection in a file.
    */
diff --git a/Code/Seg/BlurredSegment/blurredsegmentproto.cpp b/Code/Seg/BlurredSegment/blurredsegmentproto.cpp
index 8f48d13..957e06c 100755
--- a/Code/Seg/BlurredSegment/blurredsegmentproto.cpp
+++ b/Code/Seg/BlurredSegment/blurredsegmentproto.cpp
@@ -271,6 +271,7 @@ BlurredSegment *BlurredSegmentProto::endOfBirth ()
                                       DigitalStraightLine::DSL_THIN,
                                       xmin, ymin, xmax, ymax);
   }
+  else return (NULL);
   Pt2i aps (-1, -1), ape (-1, -1), apv (-1, -1);
   if (convexhull != NULL)
     convexhull->antipodalEdgeAndVertex (aps, ape, apv);
diff --git a/Code/Seg/DirectionalScanner/dynamicalscannero1.cpp b/Code/Seg/DirectionalScanner/dynamicalscannero1.cpp
index a3cad70..7bb550e 100755
--- a/Code/Seg/DirectionalScanner/dynamicalscannero1.cpp
+++ b/Code/Seg/DirectionalScanner/dynamicalscannero1.cpp
@@ -240,6 +240,12 @@ void DynamicalScannerO1::bindTo (int a, int b, int c)
     nu = (templ_nu * new_n1) / old_n1;
   else
     nu = (templ_nu * new_ninf) / old_ninf;
+  if (dlb < 0)  // dlb should stay positive to avoid the direction change
+  {             //   of the support line inequations.
+    dla = -dla;
+    dlb = -dlb;
+    c = -c;
+  }
   dlc1 = c + nu / 2;
   dlc2 = c - nu / 2;
 }
diff --git a/Code/Seg/DirectionalScanner/dynamicalscannero8.cpp b/Code/Seg/DirectionalScanner/dynamicalscannero8.cpp
index ae42796..b33e4a5 100755
--- a/Code/Seg/DirectionalScanner/dynamicalscannero8.cpp
+++ b/Code/Seg/DirectionalScanner/dynamicalscannero8.cpp
@@ -241,6 +241,12 @@ void DynamicalScannerO8::bindTo (int a, int b, int c)
     nu = (templ_nu * new_n1) / old_n1;
   else
     nu = (templ_nu * new_ninf) / old_ninf;
+  if (dlb < 0) // dlb should stay positive to avoid the direction change
+  {            //   of the support line inequations.
+    dla = -dla;
+    dlb = -dlb;
+    c = -c;
+  }
   dlc1 = c - nu / 2;
   dlc2 = c + nu / 2;
 }
diff --git a/Code/Seg/ImageTools/vr2i.h b/Code/Seg/ImageTools/vr2i.h
index 5fc99ef..a348009 100755
--- a/Code/Seg/ImageTools/vr2i.h
+++ b/Code/Seg/ImageTools/vr2i.h
@@ -87,6 +87,14 @@ public:
     return ((xv * vec.xv + yv * vec.yv)
             * (xv * vec.xv + yv * vec.yv)); }
 
+  /**
+   * @fn bool leftside (Vr2i vec)
+   * \brief Returns if the given vector is on the left side of the vector.
+   * @param vec The given vector.
+   */
+  inline bool leftside (Vr2i vec) const {
+    return (xv * vec.yv > yv * vec.xv); }
+
   /**
    * @fn int squaredVectorProduct (Vr2i vec)
    * \brief Returns the squared norm of the vector product with given vector.
-- 
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