diff --git a/learning/code/algo.c b/learning/code/algo.c
new file mode 100644
index 0000000..32283f7
--- /dev/null
+++ b/learning/code/algo.c
@@ -0,0 +1,176 @@
+#define _CRT_SECURE_NO_DEPRECATE
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <malloc.h>
+#include <math.h>
+#include "constant.h"
+#include "global.h"
+#include "algo.h"
+
+void Erreur(char * chaine,int numero)
+{
+	fprintf(stderr,chaine);
+	fprintf(stderr,"\nerreur %d\n",numero);
+	exit(numero);
+}
+
+int LireVecteurs (void)
+{
+	int k;
+	if((ent=fopen(noment,"rb"))==NULL)
+		return 1;
+	fread(&M,sizeof(int),1,ent);
+	fread(&dimvec,sizeof(int),1,ent);
+	fread(&dico,sizeof(int),1,ent);
+	fread(&numiter,sizeof(int),1,ent);
+	if((vecteurs=(float**)calloc(M,sizeof(float *)))==NULL)
+		return 3;
+	for(k=0;k<M;k++)
+	{
+		if((vecteurs[k]=(float*)calloc(dimvec,sizeof(float)))==NULL)
+			return 4;
+	}
+	for(k=0;k<M;k++)
+		fread(vecteurs[k],sizeof(float),dimvec,ent);
+	fclose(ent);
+	return 0;
+}
+
+int InitDictionnaire(void)
+{
+	int k;
+	if((vecteurs_classes=(float**)calloc(dico,sizeof(float *)))==NULL)
+		return 1;
+	for(k=0;k<dico;k++)
+	{
+		if((vecteurs_classes[k]=(float*)calloc(dimvec,sizeof(float)))==NULL)
+			return 2;
+	}
+	if((vecteurs_final=(float**)calloc(dico,sizeof(float *)))==NULL)
+		return 3;
+	for(k=0;k<dico;k++)
+	{
+		if((vecteurs_final[k]=(float*)calloc(dimvec,sizeof(float)))==NULL)
+			return 4;
+	}
+	if((index_final=(int*)calloc(M,sizeof(int)))==NULL)
+		return 5;
+	if((popul_final=(int*)calloc(dico,sizeof(int)))==NULL)
+		return 6;
+	if((index_classes=(int*)calloc(M,sizeof(int)))==NULL)
+		return 7;
+	if((popul_classes=(int*)calloc(dico,sizeof(int)))==NULL)
+		return 8;
+	return 0;
+}
+
+int CalculDictionnaire(void)
+{
+	int n,k,p,index;
+	double energie_prec,distance,distancemin;
+	char fini;
+	for(k=0;k<dico;k++)
+	{
+		index=(int)floor(((double)(M-1)*(double)(rand()))/(double)RAND_MAX);
+		for(n=0;n<dimvec;n++)
+			vecteurs_classes[k][n]=vecteurs[index][n];
+	}
+	energie=0.0;
+	etape=0;
+	fini=0;
+	while(!fini)
+	{
+		memset(popul_classes,0,dico*sizeof(int));
+		energie_prec=energie;
+		energie=0.0;
+		for(k=0;k<M;k++)
+		{
+			index=0;
+			distancemin=0.0;
+			for(n=0;n<dimvec;n++)
+			{
+				distancemin+=
+					(vecteurs[k][n]-vecteurs_classes[0][n])*
+					(vecteurs[k][n]-vecteurs_classes[0][n]);
+			}
+			for(p=1;p<dico;p++)
+			{
+				distance=0.0;
+				for(n=0;n<dimvec;n++)
+				{
+					distance+=
+						(vecteurs[k][n]-vecteurs_classes[p][n])*
+						(vecteurs[k][n]-vecteurs_classes[p][n]);
+				}
+				if(distance<distancemin)
+				{
+					distancemin=distance;
+					index=p;
+				}
+			}
+			index_classes[k]=index;
+			popul_classes[index]+=1;
+			energie+=distancemin;
+		}
+		for(p=0;p<dico;p++)
+		{
+			if(popul_classes[p])
+			{
+				memset(vecteurs_classes[p],0,dimvec*sizeof(float));
+			}
+		}
+		for(k=0;k<M;k++)
+		{
+			index=index_classes[k];
+			if(popul_classes[index])
+			{
+				for(n=0;n<dimvec;n++)
+				{
+					vecteurs_classes[index][n]+=vecteurs[k][n];
+				}
+			}
+		}
+		for(p=0;p<dico;p++)
+		{
+			if(popul_classes[p])
+			{
+				for(n=0;n<dimvec;n++)
+				{
+					vecteurs_classes[p][n]/=popul_classes[p];
+				}
+			}
+		}
+		if(etape!=0)
+		{
+			if(((energie_prec-energie)/energie)<SEUIL)
+				fini=1;
+		}
+		etape++;
+	}
+	return 0;
+}
+
+int SauveClasses(void)
+{
+	int k;
+	if((sor=fopen(nomsor,"wb"))==NULL)
+		return 1;
+	fwrite(&dimvec,sizeof(int),1,sor);
+	fwrite(&dico,sizeof(int),1,sor);
+	for(k=0;k<dico;k++)
+		fwrite(vecteurs_final[k],sizeof(float),dimvec,sor);
+	fwrite(popul_final,sizeof(int),dico,sor);
+	fclose(sor);
+	return 0;
+}
+
+int SauveCode(void)
+{
+	if((cod=fopen(nomcod,"wb"))==NULL)
+		return 1;
+	fwrite(index_final,sizeof(int),M,sor);
+	fclose(sor);
+	return 0;
+}
diff --git a/learning/code/algo.h b/learning/code/algo.h
new file mode 100644
index 0000000..ebc5dd4
--- /dev/null
+++ b/learning/code/algo.h
@@ -0,0 +1,6 @@
+void Erreur(char *,int);
+int LireVecteurs(void);
+int InitDictionnaire(void);
+int CalculDictionnaire(void);
+int SauveClasses(void);
+int SauveCode(void);
diff --git a/learning/code/code b/learning/code/code
new file mode 100644
index 0000000..c827a1d
Binary files /dev/null and b/learning/code/code differ
diff --git a/learning/code/constant.h b/learning/code/constant.h
new file mode 100644
index 0000000..df75df5
--- /dev/null
+++ b/learning/code/constant.h
@@ -0,0 +1,10 @@
+#define NOM		50
+#define SEUIL	1e-5
+
+typedef struct
+{
+	int index;
+	int popul;
+	float * vecteur;
+}
+TRI;
diff --git a/learning/code/data_set.m b/learning/code/data_set.m
new file mode 100644
index 0000000..e6e856b
--- /dev/null
+++ b/learning/code/data_set.m
@@ -0,0 +1,4 @@
+function [image]=data_set(i, n)
+
+
+end
\ No newline at end of file
diff --git a/learning/code/descripteurfouriernorm.m b/learning/code/descripteurfouriernorm.m
new file mode 100644
index 0000000..4ac301c
--- /dev/null
+++ b/learning/code/descripteurfouriernorm.m
@@ -0,0 +1,28 @@
+function [coeff,num]=descripteurfouriernorm(z,cmax)
+cmin=-cmax;
+z_moy=mean(z);
+longc=length(z);
+% on calcule les coefficients de Fourier
+TC=fft(z-z_moy)/longc;
+num=cmin:cmax;
+% on sélectionne les coefficients entre cmin et cmax
+coeff=zeros(cmax-cmin+1,1);
+coeff(end-cmax:end)=TC(1:cmax+1);
+coeff(1:-cmin)=TC(end+cmin+1:end);
+
+% on retourne la séquence si le parcours est dans le
+% sens inverse du sens trigonométrique
+if abs(coeff(num==-1))>abs(coeff(num==1))
+    coeff=coeff(end:-1:1);
+end
+
+% corrections de phase pour normaliser
+% par rapport à la rotation et l'origine
+% du signal z
+Phi=angle(coeff(num==-1).*coeff(num==1))/2;
+coeff=coeff*exp(-1i*Phi);
+theta=angle(coeff(num==1));
+coeff=coeff.*exp(-1i*num'*theta);
+
+% correction pour normaliser la taille
+coeff=coeff/abs(coeff(num==1));
diff --git a/learning/code/dict b/learning/code/dict
new file mode 100644
index 0000000..8e191cb
Binary files /dev/null and b/learning/code/dict differ
diff --git a/learning/code/global.c b/learning/code/global.c
new file mode 100644
index 0000000..77480be
--- /dev/null
+++ b/learning/code/global.c
@@ -0,0 +1,25 @@
+#define _CRT_SECURE_NO_DEPRECATE
+
+#include <stdio.h>
+#include "constant.h"
+
+char noment[NOM];
+char nomsor[NOM];
+char nomcod[NOM];
+int dimvec,M,dico,numiter;
+
+FILE * ent,* sor,* cod;
+
+float ** vecteurs;
+float ** vecteurs_classes;
+int * index_classes;
+int * popul_classes;
+float ** vecteurs_final;
+int * index_final;
+int * popul_final;
+int etape;
+double energie;
+double energieminimale;
+
+TRI * buftri;
+
diff --git a/learning/code/global.h b/learning/code/global.h
new file mode 100644
index 0000000..2451ecb
--- /dev/null
+++ b/learning/code/global.h
@@ -0,0 +1,25 @@
+
+
+
+
+
+extern char noment[NOM];
+extern char nomsor[NOM];
+extern char nomcod[NOM];
+extern int dimvec,M,dico,numiter;
+
+extern FILE * ent,* sor,* cod;
+
+extern float ** vecteurs;
+extern float ** vecteurs_classes;
+extern int * index_classes;
+extern int * popul_classes;
+extern float ** vecteurs_final;
+extern int * index_final;
+extern int * popul_final;
+extern int etape;
+extern double energie;
+extern double energieminimale;
+
+extern TRI * buftri;
+
diff --git a/learning/code/kmoyennes.m b/learning/code/kmoyennes.m
new file mode 100644
index 0000000..15a3a9e
--- /dev/null
+++ b/learning/code/kmoyennes.m
@@ -0,0 +1,41 @@
+% kmoyennes.m
+% [vecteursliste,code,occur]=kmoyennes(vecteurs,dico,numiter)
+% vecteurs :  vecteurs de la base (rangés en colonnes)
+% dico : nombre de classes
+% numiter : nombre d'essais pour trouver le dictionnaire
+% vecteursliste : contient les vecteurs prototypes
+% code : contient les index des classes
+% occur : nombre d'éléments dans chaque classe
+
+function [vecteursliste,code,occur]=kmoyennes(vecteurs,dico,numiter)
+
+% nombre de lignes du tableau vecteurs : dimension des vecteurs
+dimvec=size(vecteurs,1);
+% nombre de colonnes du tableau vecteurs : nombre de vecteurs
+M=size(vecteurs,2);
+
+% ecriture des fichiers nécessaires au fonctionnment du programme quantvec
+fid=fopen('vecteurs','w');
+fwrite(fid,M,'int');
+fwrite(fid,dimvec,'int');
+fwrite(fid,dico,'int');
+fwrite(fid,numiter,'int');
+fwrite(fid,vecteurs,'float');
+fclose(fid);
+
+% lancement du programme quantvec
+unix('./quantvec vecteurs dict code');
+
+% lecture des fichiers résultat
+fid=fopen('dict','r');
+dimvec=fread(fid,1,'int');
+dico=fread(fid,1,'int');
+vecteursliste=fread(fid,[dimvec dico],'float');
+occur=fread(fid,dico,'int');
+fclose(fid);
+disp('vecteurs dans la liste')
+disp([dimvec dico])
+
+fid=fopen('code','r');
+code=fread(fid,M,'int');
+fclose(fid);
diff --git a/learning/code/learning.m b/learning/code/learning.m
new file mode 100644
index 0000000..a4f5ac1
--- /dev/null
+++ b/learning/code/learning.m
@@ -0,0 +1,58 @@
+close all
+
+%acceptable threshold values: 15-30
+threshold = 20;
+cmax = 10;
+cmin = -cmax;
+n_classes = 16;
+iterations = 50;
+N = 200;
+
+dataset = dir('../images/*/*.jpg');
+dataset_size = length(dataset);
+
+vecteurs=zeros(2*(cmax-cmin+1),dataset_size); %TODO: renommer en vectors
+
+% c'est lent
+% s'assurer que l'on choisit toutes les images
+% 
+for n=1:dataset_size
+    % choix d'une image aléatoire
+    choix = 1 + floor(dataset_size*rand(dataset_size, 1));
+    % extraction de l'image du dataset
+    image = dataset(choix(1));
+    % lecture de l'image
+    img = imread([image.folder '/' image.name]);
+    % filtrage de la couleur de la peau
+    binary = rgb_filter(img, threshold);
+    % détermination du contour
+    c = contourc(binary);
+    % Détermination du contour de taille max
+    cont = max_contour(c);
+    % transformation en signal complex
+    z = cont(:,1) + 1i*cont(:,2);
+    % calcul des descripteurs de Fourrier
+    [coeff,ncoeff]=descripteurfouriernorm(z,cmax);
+    % Extraction des composantes
+    vecteurs(:,n)=[real(coeff);imag(coeff)];
+    % affichage de l'avancement
+    disp(n/dataset_size);
+end
+
+% utilisation de l'algorithme des kmeans
+kmeans = kmoyennes(vecteurs, n_classes, iterations);
+
+% affichage des prototypes
+figure
+for n=1:n_classes
+    contfil=resconstrdesfour(kmeans(1:end/2,n)+1i*kmeans(end/2+1:end,n),N,cmax);
+    subplot(4,4,n)
+    h=plot(real(contfil),imag(contfil),'-',real(contfil(1)),imag(contfil(1)),'o');
+    title(['prototype ' int2str(n)])
+    set(h(1),'LineWidth',2)
+    set(h(2),'LineWidth',3)
+    grid on
+    axis equal
+    axis ij
+    drawnow
+end
\ No newline at end of file
diff --git a/learning/code/makefile b/learning/code/makefile
new file mode 100644
index 0000000..ed3a63a
--- /dev/null
+++ b/learning/code/makefile
@@ -0,0 +1,8 @@
+all : quantvec
+
+quantvec : *.c *.h
+	g++ -O3 -Wall *.c -o quantvec
+
+clean :
+	rm quantvec
+
diff --git a/learning/code/max_contour.m b/learning/code/max_contour.m
new file mode 100644
index 0000000..1366af0
--- /dev/null
+++ b/learning/code/max_contour.m
@@ -0,0 +1,18 @@
+function [cont]=max_contour(contours)
+i=1;
+id=1;
+max = 0;
+while i+contours(2, id) < size(contours, 2)
+    contours(2,i);
+    if contours(2,i) > max
+        max = contours(2,i);
+        id = i;
+    end
+    i=i+1+contours(2,i);
+end
+
+cont = zeros(max, 2);
+cont(1:end,1) = contours(1, id+1:id+max);
+cont(1:end,2) = contours(2, id+1:id+max);
+
+end
\ No newline at end of file
diff --git a/learning/code/quantvec b/learning/code/quantvec
new file mode 100755
index 0000000..2374981
Binary files /dev/null and b/learning/code/quantvec differ
diff --git a/learning/code/quantvec.c b/learning/code/quantvec.c
new file mode 100644
index 0000000..4fefdf9
--- /dev/null
+++ b/learning/code/quantvec.c
@@ -0,0 +1,63 @@
+#define _CRT_SECURE_NO_DEPRECATE
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+#include <string.h>
+#include <malloc.h>
+#include <math.h>
+#include "constant.h"
+#include "global.h"
+#include "algo.h"
+
+int main(int ac,char ** av)
+{
+	int erreur,iter,p;
+	if(ac != 4)
+		Erreur((char*)"Il faut 3 parametres",1);
+	strncpy(noment,av[1],NOM-1);
+	strncpy(nomsor,av[2],NOM-1);
+	strncpy(nomcod,av[3],NOM-1);
+	
+	srand( (unsigned)time( NULL ) );
+	
+	if((erreur=LireVecteurs())!=0)
+		Erreur((char*)"Erreur de lecture des vecteurs",erreur);
+	fprintf(stderr,"nombre de vecteurs : %d\n",M);
+	fprintf(stderr,"dimension des vecteurs : %d\n",dimvec);
+	fprintf(stderr,"taille du dictionnaire : %d\n",dico);
+	fprintf(stderr,"nombre d'iterations : %d\n",numiter);
+	if((erreur=InitDictionnaire())!=0)
+		Erreur((char*)"Erreur d'initialisation du dictionnaire",erreur);
+
+	iter=0;
+	if((erreur=CalculDictionnaire())!=0)
+		Erreur((char*)"Erreur de calcul itératif du dictionnaire",erreur);
+	energieminimale=energie;
+	memcpy(index_final,index_classes,M*sizeof(int));
+	memcpy(popul_final,popul_classes,dico*sizeof(int));
+	for(p=0;p<dico;p++)
+		memcpy(vecteurs_final[p],vecteurs_classes[p],dimvec*sizeof(float));
+	fprintf(stderr,"iteration %d, distorsion %lf en %d etapes\n",iter,energie/((double)M*(double)dimvec),etape);
+
+	for(iter=1;iter<numiter;iter++)
+	{
+		if((erreur=CalculDictionnaire())!=0)
+			Erreur((char*)"Erreur de calcul itératif du dictionnaire",erreur);
+		if(energie<energieminimale)
+		{
+			energieminimale=energie;
+			memcpy(index_final,index_classes,M*sizeof(int));
+			memcpy(popul_final,popul_classes,dico*sizeof(int));
+			for(p=0;p<dico;p++)
+				memcpy(vecteurs_final[p],vecteurs_classes[p],dimvec*sizeof(float));
+		}
+		fprintf(stderr,"iteration %d, distorsion %lf en %d etapes\n",iter,energie/((double)M*(double)dimvec),etape);
+	}
+
+	fprintf(stderr,"distorsion finale %lf\n",energieminimale/((double)M*(double)dimvec));
+	if((erreur=SauveClasses())!=0)
+		Erreur((char*)"Erreur de sauvegarde des classes",erreur);
+	if((erreur=SauveCode())!=0)
+		Erreur((char*)"Erreur de sauvegarde du code",erreur);
+}
diff --git a/learning/code/resconstrdesfour.m b/learning/code/resconstrdesfour.m
new file mode 100644
index 0000000..eafab63
--- /dev/null
+++ b/learning/code/resconstrdesfour.m
@@ -0,0 +1,11 @@
+function z_fil=resconstrdesfour(coeff,N,cmax)
+
+cmin=-cmax;
+TC=zeros(N,1);
+
+TC(1:cmax+1)=coeff(end-cmax:end);
+TC(end+cmin+1:end)=coeff(1:-cmin);
+
+z_fil=ifft(TC)*N;
+
+z_fil=[z_fil;z_fil(1)];
diff --git a/learning/code/rgb_filter.m b/learning/code/rgb_filter.m
new file mode 100644
index 0000000..5b78e85
--- /dev/null
+++ b/learning/code/rgb_filter.m
@@ -0,0 +1,23 @@
+function [filtered_img]=rgb_filter(img, threshold)
+height = size(img, 1);
+width = size(img, 2);
+depth = size(img, 3);
+
+filtered_img = zeros(height, width, 1);
+
+for i=1:height
+    for j=1:width
+        r = img(i, j, 1);
+        g = img(i, j, 2);
+        b = img(i, j, 3);
+        if (r > g && r > b)
+            if (r-b > threshold || r-g > threshold)
+                filtered_img(i, j, 1) = 1;
+            else
+                filtered_img(i, j, 1) = 0;
+            end
+        end
+    end
+end
+
+end
\ No newline at end of file
diff --git a/learning/code/traitement.h b/learning/code/traitement.h
new file mode 100644
index 0000000..0156ca4
--- /dev/null
+++ b/learning/code/traitement.h
@@ -0,0 +1,3 @@
+int InitInfo(void);
+void TraiteErreur(int,char*);
+DWORD WINAPI Traitement(LPVOID);
diff --git a/learning/code/vecteurs b/learning/code/vecteurs
new file mode 100644
index 0000000..e3b981f
Binary files /dev/null and b/learning/code/vecteurs differ
diff --git a/images/arret/arret0001.jpg b/learning/images/arret/arret0001.jpg
similarity index 100%
rename from images/arret/arret0001.jpg
rename to learning/images/arret/arret0001.jpg
diff --git a/images/arret/arret0002.jpg b/learning/images/arret/arret0002.jpg
similarity index 100%
rename from images/arret/arret0002.jpg
rename to learning/images/arret/arret0002.jpg
diff --git a/images/arret/arret0003.jpg b/learning/images/arret/arret0003.jpg
similarity index 100%
rename from images/arret/arret0003.jpg
rename to learning/images/arret/arret0003.jpg
diff --git a/images/arret/arret0004.jpg b/learning/images/arret/arret0004.jpg
similarity index 100%
rename from images/arret/arret0004.jpg
rename to learning/images/arret/arret0004.jpg
diff --git a/images/arret/arret0005.jpg b/learning/images/arret/arret0005.jpg
similarity index 100%
rename from images/arret/arret0005.jpg
rename to learning/images/arret/arret0005.jpg
diff --git a/images/arret/arret0006.jpg b/learning/images/arret/arret0006.jpg
similarity index 100%
rename from images/arret/arret0006.jpg
rename to learning/images/arret/arret0006.jpg
diff --git a/images/arret/arret0007.jpg b/learning/images/arret/arret0007.jpg
similarity index 100%
rename from images/arret/arret0007.jpg
rename to learning/images/arret/arret0007.jpg
diff --git a/images/arret/arret0008.jpg b/learning/images/arret/arret0008.jpg
similarity index 100%
rename from images/arret/arret0008.jpg
rename to learning/images/arret/arret0008.jpg
diff --git a/images/arret/arret0009.jpg b/learning/images/arret/arret0009.jpg
similarity index 100%
rename from images/arret/arret0009.jpg
rename to learning/images/arret/arret0009.jpg
diff --git a/images/arret/arret0010.jpg b/learning/images/arret/arret0010.jpg
similarity index 100%
rename from images/arret/arret0010.jpg
rename to learning/images/arret/arret0010.jpg
diff --git a/images/arret/arret0011.jpg b/learning/images/arret/arret0011.jpg
similarity index 100%
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diff --git a/tests/examples/main.cpp b/tests/examples/main.cpp
new file mode 100644
index 0000000..f4bfd23
--- /dev/null
+++ b/tests/examples/main.cpp
@@ -0,0 +1,41 @@
+#include <iostream>
+#include <complex>
+#include <vector>
+#include <math.hpp>
+#include <cmath>
+
+using namespace std;
+using namespace math;
+
+int main (int ac,char ** av) {
+	csignal coord = {0,1,0,0,0,0,0};
+	coord = {0,1,0,0,0};
+  csignal res;
+	res = fft_rec(coord);
+
+	for(int n=0; n<coord.size(); n++) {
+		cout << coord[n] << endl;
+  }
+  cout << endl;
+
+	for(int n=0; n<res.size(); n++) {
+		cout << res[n] << endl;
+	}
+	cout << endl;
+
+	for(int n=0; n<res.size(); n++) {
+		cout << abs(res[n]) << endl;
+  }
+	cout << endl;
+
+  double my_sum = 0;
+  double sum = 0;
+
+	for(int n=0; n<res.size(); n++) {
+    my_sum += arg(res[n]);
+    sum += arg(exp(math::complex(0, 2*pi()*n/coord.size())));
+		cout << arg(res[n]) << ' ' << arg(exp(math::complex(0, 2*pi()*n/coord.size()))) << endl;
+  }
+
+  std::cout << my_sum << ' ' << sum << std::endl;
+}
diff --git a/tests/examples/test-descripteurs.cpp b/tests/examples/test-descripteurs.cpp
index ee29969..7423890 100644
--- a/tests/examples/test-descripteurs.cpp
+++ b/tests/examples/test-descripteurs.cpp
@@ -3,7 +3,7 @@
 int main(int argc, char** argv) {
   std::string imagename = "";
   int seuil = 25;
-  int cmax = 10;
+  int cmax = 100;
 
   if (argc > 1) {
     imagename = argv[1];
@@ -22,6 +22,7 @@ int main(int argc, char** argv) {
   cv::namedWindow("New Contour", CV_WINDOW_AUTOSIZE);
 
   cv::Mat image = cv::imread(imagename, CV_LOAD_IMAGE_COLOR);
+  std::cout << image.size() << std::endl;
   cv::Mat binaire(image.rows, image.cols, CV_8UC1);
   cv::Mat contour_image(image.rows, image.cols, CV_8UC1);
   cv::Mat new_contour_image(image.rows, image.cols, CV_8UC1);
@@ -38,6 +39,7 @@ int main(int argc, char** argv) {
   math::contour c = contours[index];
   c = math::simplify_contour(c, cmax);
   std::array<int, 4> bounds = math::bounds(c);
+  //math::display(c);
   c = math::transform(c, bounds, new_contour_image.rows);
 
   contrs.push_back(contours[index]);
@@ -52,6 +54,10 @@ int main(int argc, char** argv) {
   imshow("Contour", contour_image);
   imshow("New Contour", new_contour_image);
 
-  cv::waitKey(0);
+  while (true) {
+    if (cv::waitKey(0) == 27) {
+      return 0;
+    };
+  }
   return 0;
 }
diff --git a/tests/src/CMakeLists.txt b/tests/src/CMakeLists.txt
index 5c34f0a..a47be66 100644
--- a/tests/src/CMakeLists.txt
+++ b/tests/src/CMakeLists.txt
@@ -4,8 +4,8 @@
 add_executable(traitement traitement.cpp)
 target_link_libraries(traitement ${OpenCV_LIBS})
 
-add_executable(k_proches_voisins k_proches_voisins.cpp)
-target_link_libraries(k_proches_voisins ${OpenCV_LIBS})
+#add_executable(k_proches_voisins k_proches_voisins.cpp)
+#target_link_libraries(k_proches_voisins ${OpenCV_LIBS})
 # target_include_directories(blk PUBLIC ${CMAKE_CURRENT_SOURCE_DIR})
 # target_compile_options    (blk PUBLIC -std=c++11                 )
 
diff --git a/tests/src/math.hpp b/tests/src/math.hpp
index 02b23e2..dde4ed1 100644
--- a/tests/src/math.hpp
+++ b/tests/src/math.hpp
@@ -4,6 +4,7 @@
 #include <complex>
 #include <opencv2/opencv.hpp>
 #include <iterator>
+#include <cmath>
 
 namespace math {
 
@@ -13,6 +14,27 @@ namespace math {
   using contour = std::vector<cv::Point>;
   constexpr double pi() {return std::atan(1)*4;}
 
+  void displayi_abs(const csignal& s) {
+    int count=0;
+    for (auto d: s) {
+      std::cout << count++ << ' ' << std::abs(d) << std::endl;
+    }
+  }
+
+ void display(const contour& s) {
+    int count=0;
+    for (auto d: s) {
+      std::cout << count++ << ' ' << d.x << ' ' << d.y << std::endl;
+    }
+  }
+
+  void display(const csignal& s) {
+    int count=0;
+    for (auto d: s) {
+      std::cout << count++ << ' ' << d.real() << ' ' << d.imag() << std::endl;
+    }
+  }
+
   void to_binary(const cv::Mat& img, cv::Mat& output) {
   	for (int index=0,indexNB=0;index<3*img.rows*img.cols;index+=3,indexNB++) {
   		unsigned char B = img.data[index  ];
@@ -80,15 +102,30 @@ namespace math {
 
   csignal fft_rec(const csignal& input) {
     int size = input.size();
+    std::cout << "Size: " << size << std::endl;
 
     if (size <= 1) {
       return input;
+    } else if (size == 2) {
+      csignal res;
+      res.push_back(input[0]+input[1]);
+      res.push_back(input[0]-input[1]);
+      return res;
+    } else if (size == 3) {
+      csignal res;
+      complex e2 = std::exp(complex(0, -2*pi()/3));
+      complex e4 = std::exp(complex(0, -4*pi()/3));
+      complex e8 = std::exp(complex(0, -8*pi()/3));
+      res.push_back(input[0]+input[1]+input[2]);
+      res.push_back(input[0]+input[1]*e2+input[2]*e4);
+      res.push_back(input[0]+input[1]*e4+input[2]*e8);
+      return res;
     } else {
       csignal odd;
       csignal even;
       auto odd_back_it = std::back_inserter(odd);
       auto even_back_it = std::back_inserter(even);
-      bool insert_in_even = false;
+      bool insert_in_even = true;
 
       for (auto it = input.begin(); it != input.end(); ++it) {
         if (insert_in_even) {
@@ -100,9 +137,9 @@ namespace math {
         }
       }
 
+      csignal res(size, complex());
       csignal odd_fft = fft_rec(odd);
       csignal even_fft = fft_rec(even);
-      csignal res(size, complex());
 
       for (int k=0; k<size/2; ++k) {
         complex t = std::exp(complex(0, -2*pi()*k/size)) * odd_fft[k];
@@ -123,6 +160,7 @@ namespace math {
       opt_size = 1 << (int)std::ceil(std::log(N)/std::log(2));
     }
     opt_size = input.size();
+    std::cout << opt_size << std::endl;
     csignal sig(input);
     for (int i=0; i<opt_size-input.size(); ++i) {
       sig.push_back(complex(0, 0));
@@ -159,9 +197,16 @@ namespace math {
     int kmin = tfd.size()/2 + cmin;
     int kmax = tfd.size()/2 + cmax;
     
-    for (int k=kmin; k<kmax+1; ++k) {
-      res.push_back(tfd[k]);
+    //display(tfd);
+    auto tfd_it = tfd.end() + cmin;
+    for (int k=0; k<-cmin; ++k) {
+      res.push_back(*(tfd_it++));
     }
+    tfd_it = tfd.begin();
+    for (int k=0; k<cmax+1; ++k) {
+      res.push_back(*(tfd_it++));
+    }
+    //display(res);
     return res;
   }
 
@@ -170,19 +215,19 @@ namespace math {
     for (auto x: sig) {
       res.push_back(cv::Point(x.real(), x.imag()));
     }
+    res.push_back(res[0]);
     return res;
   }
 
-  csignal desc2sig(const csignal& desc, complex mean, int N, int cmin, int cmax) {
+  csignal desc2sig(const csignal& desc, complex mean, int N, int cmin, int cmax) { //TODO: retirer cmax des arguments
     csignal cont;
     auto desc_it = desc.begin();
-    int kmin = desc.size()/2 + cmin;
-    int kmax = desc.size()/2 + cmax;
 
     for (int m=0; m<N; ++m) {
       complex sum = 0;
-      for (int k=kmin; k<kmax+1; ++k) {
-        sum += desc[k]*std::exp(complex(0, 2*pi()*k*m/N));
+      auto d_it = desc.begin();
+      for (int k=0; k<desc.size(); ++k) {
+        sum += *(d_it++)*std::exp(complex(0, 2*pi()*(k+cmin)*m/N));
       }
       cont.push_back(mean + sum);
     }
@@ -211,14 +256,14 @@ namespace math {
   }
 
   int x_to_cv(double x, int xmin, int xmax, int width) {
-    double a = 0.8 * width / (xmax - xmin);
-    double b = 0.1 * width - a * xmin;
+    double a = 0.8 * float(width) / (xmax - xmin);
+    double b = 0.1 * float(width) - a * xmin;
     return (a * x + b);
   }
 
   int y_to_cv(double x, int ymin, int ymax, int width) {
-    double a = 0.8 * width / (ymin - ymax);
-    double b = 0.1 * width - a * ymax;
+    double a = 0.8 * float(width) / (ymin - ymax);
+    double b = 0.1 * float(width) - a * ymax;
     return (a * x + b);
   }
 
@@ -226,7 +271,7 @@ namespace math {
     contour res;
     for (auto p: cont) {
       int px = x_to_cv(p.x, bounds[0], bounds[2], size);
-      int py = y_to_cv(p.y, bounds[1], bounds[3], size);
+      int py = x_to_cv(p.y, bounds[1], bounds[3], size);
       res.push_back(cv::Point(px, py));
     }
     return res;
@@ -236,7 +281,7 @@ namespace math {
     csignal z = cont2sig(cont);
     complex zm = mean(z);
     csignal tfd = fft(diff(z, zm));
-    tfd /= tfd.size();
+    tfd /= z.size();
     int cmin = -cmax;
     csignal desc = extract(tfd, cmin, cmax);
 
@@ -251,7 +296,7 @@ namespace math {
     for (int k=0; k<desc.size(); ++k) {
       desc[k] *= std::exp(complex(0, -theta*(k-cmin)));
     }
-    desc /= desc[desc.size()/2+1];
+    desc /= std::abs(desc[desc.size()/2+1]);
     /*
     */