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Copy pathsingle_e.c
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single_e.c
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#include "single_e.h"
void fill_external(Curve *omega,int i,int j, int sizey, int sizex)
{
if(i+1<sizey){
if (omega->interior[i+1][j]==INTERNAL_AREA_UNDEF){
omega->interior[i+1][j] = INTERNAL_AREA_OUT;
fill_external(omega,i+1,j,sizey,sizex);
}
}
if(i-1>=0){
if (omega->interior[i-1][j]==INTERNAL_AREA_UNDEF){
omega->interior[i-1][j] = INTERNAL_AREA_OUT;
fill_external(omega,i-1,j,sizey,sizex);
}
}
if(j+1<sizex){
if (omega->interior[i][j+1]==INTERNAL_AREA_UNDEF){
omega->interior[i][j+1] = INTERNAL_AREA_OUT;
fill_external(omega,i,j+1,sizey,sizex);
}
}
if(j-1>=0){
if (omega->interior[i][j-1]==INTERNAL_AREA_UNDEF){
omega->interior[i][j-1] = INTERNAL_AREA_OUT;
fill_external(omega,i,j-1,sizey,sizex);
}
}
}
// Calculate Internal Area
void Internal_Area_old(Curve *omega)
{
int i,j,k,sizex,sizey;
double dtmp,x,y;
// Initialize
sizex = (int)(omega->max.x - omega->min.x + 3);
sizey = (int)(omega->max.y - omega->min.y + 3);
for (i=0;i < sizey ;i++){
for (j=0;j < sizex ;j++){
omega->interior[i][j] = INTERNAL_AREA_UNDEF;
}
}
for (k= 0; k < POINT_NUM -1; k++){
if(omega->r[k+1].x == omega->r[k].x){
if(omega->r[k].y < omega->r[k+1].y){
for (y = omega->r[k].y; y <= omega->r[k+1].y; y++){
i = (int)(y-omega->min.y+1);
j = (int)(omega->r[k].x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
// data_pnt.y = y+omega->center.y;
// data_pnt.y = height - data_pnt.y;
// data_pnt.x = omega->r[k].x+omega->center.x;
// cvCircle(img, data_pnt, 1, CV_RGB(255,0,0), 2, 8, 0);
}
}
else{
for (y = omega->r[k+1].y; y <= omega->r[k].y; y++){
i = (int)(y-omega->min.y+1);
j = (int)(omega->r[k].x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
else{
dtmp = (omega->r[k+1].y-omega->r[k].y)/(omega->r[k+1].x-omega->r[k].x);
if(fabs(dtmp)<1){
if(omega->r[k].x < omega->r[k+1].x){
for (x = omega->r[k].x; x <= omega->r[k+1].x; x++){
i = (int)(dtmp*(x-omega->r[k].x)+omega->r[k].y-omega->min.y+1);
j = (int)(x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (x = omega->r[k+1].x; x <= omega->r[k].x; x++){
i = (int)(dtmp*(x-omega->r[k].x)+omega->r[k].y-omega->min.y+1);
j = (int)(x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
else{
if(omega->r[k].y < omega->r[k+1].y){
for (y = omega->r[k].y; y <= omega->r[k+1].y; y++){
i = (int)(y-omega->min.y+1);
j = (int)(1/dtmp*(y-omega->r[k].y)+omega->r[k].x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (y = omega->r[k+1].y; y <= omega->r[k].y; y++){
i = (int)(y-omega->min.y+1);
j = (int)(1/dtmp*(y-omega->r[k].y)+omega->r[k].x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
}
}
if(omega->r[0].x == omega->r[k].x){
if(omega->r[k].y < omega->r[0].y){
for (y = omega->r[k].y; y <= omega->r[0].y; y++){
i = (int)(y-omega->min.y+1);
j = (int)(omega->r[k].x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (y = omega->r[0].y; y <= omega->r[k].y; y++){
i = (int)(y-omega->min.y+1);
j = (int)(omega->r[k].x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
else{
dtmp = (omega->r[0].y-omega->r[k].y)/(omega->r[0].x-omega->r[k].x);
if(fabs(dtmp)<1){
if(omega->r[k].x < omega->r[0].x){
for (x = omega->r[k].x; x <= omega->r[0].x; x++){
i = (int)(dtmp*(x-omega->r[k].x)+omega->r[k].y-omega->min.y+1);
j = (int)(x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (x = omega->r[0].x; x <= omega->r[k].x; x++){
i = (int)(dtmp*(x-omega->r[k].x)+omega->r[k].y-omega->min.y+1);
j = (int)(x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
else{
if(omega->r[k].y < omega->r[0].y){
for (y = omega->r[k].y; y <= omega->r[0].y; y++){
i = (int)(y-omega->min.y+1);
j = (int)(1/dtmp*(y-omega->r[k].y)+omega->r[k].x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (y = omega->r[0].y; y <= omega->r[k].y; y++){
i = (int)(y-omega->min.y+1);
j = (int)(1/dtmp*(y-omega->r[k].y)+omega->r[k].x-omega->min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
}
omega->interior[0][0] = INTERNAL_AREA_OUT;
fill_external(omega,0,0,sizey,sizex);
for (i=0;i<sizey;i++){
for (j=0;j<sizex;j++){
if(omega->interior[i][j] == INTERNAL_AREA_UNDEF){
omega->interior[i][j] = INTERNAL_AREA_IN;
// data_pnt.y = (int)((i+omega->min.y-1+omega->center.y)*(double)SCALE);
// data_pnt.x = (int)((j+omega->min.x-1+omega->center.x)*(double)SCALE);
// cvCircle(img, data_pnt, 1, CV_RGB(0,255,0), 2, 8, 0);
}
// else if(omega->interior[i][j] == INTERNAL_AREA_IN){
// data_pnt.y = (int)((i+omega->min.y-1+omega->center.y)*(double)SCALE);
// data_pnt.x = (int)((j+omega->min.x-1+omega->center.x)*(double)SCALE);
// cvCircle(img, data_pnt, 1, CV_RGB(255,0,0), 2, 8, 0);
// }
}
}
return;
}
// Calculate Internal Area
void Internal_Area(Curve *omega)
{
int i,j,k,sizex,sizey;
double dtmp,x,y;
Point p[POINT_NUM], min, max;
for (k= 0; k < POINT_NUM; k++){
p[k].x = (int)floor(omega->r[k].x+0.5);
p[k].y = (int)floor(omega->r[k].y+0.5);
}
min.x = (int)floor(omega->min.x+0.5);
min.y = (int)floor(omega->min.y+0.5);
max.x = (int)floor(omega->max.x+0.5);
max.y = (int)floor(omega->max.y+0.5);
// Initialize
sizex = (int)(max.x - min.x + 3);
sizey = (int)(max.y - min.y + 3);
for (i=0;i < sizey ;i++){
for (j=0;j < sizex ;j++){
omega->interior[i][j] = INTERNAL_AREA_UNDEF;
}
}
for (k= 0; k < POINT_NUM -1; k++){
if(p[k+1].x == p[k].x){
if(p[k].y < p[k+1].y){
for (y = p[k].y; y <= p[k+1].y; y++){
i = (int)(y-min.y+1);
j = (int)(p[k].x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
// data_pnt.y = y+omega->center.y;
// data_pnt.y = height - data_pnt.y;
// data_pnt.x = p[k].x+omega->center.x;
// cvCircle(img, data_pnt, 1, CV_RGB(255,0,0), 2, 8, 0);
}
}
else{
for (y = p[k+1].y; y <= p[k].y; y++){
i = (int)(y-min.y+1);
j = (int)(p[k].x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
else{
dtmp = (double)(p[k+1].y-p[k].y)/(double)(p[k+1].x-p[k].x);
if(fabs(dtmp)<1){
if(p[k].x < p[k+1].x){
for (x = p[k].x; x <= p[k+1].x; x++){
i = (int)(dtmp*(x-p[k].x)+p[k].y-min.y+1);
j = (int)(x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (x = p[k+1].x; x <= p[k].x; x++){
i = (int)(dtmp*(x-p[k].x)+p[k].y-min.y+1);
j = (int)(x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
else{
if(p[k].y < p[k+1].y){
for (y = p[k].y; y <= p[k+1].y; y++){
i = (int)(y-min.y+1);
j = (int)(1/dtmp*(y-p[k].y)+p[k].x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (y = p[k+1].y; y <= p[k].y; y++){
i = (int)(y-min.y+1);
j = (int)(1/dtmp*(y-p[k].y)+p[k].x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
}
}
if(p[0].x == p[k].x){
if(p[k].y < p[0].y){
for (y = p[k].y; y <= p[0].y; y++){
i = (int)(y-min.y+1);
j = (int)(p[k].x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (y = p[0].y; y <= p[k].y; y++){
i = (int)(y-min.y+1);
j = (int)(p[k].x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
else{
dtmp = (double)(p[0].y-p[k].y)/(double)(p[0].x-p[k].x);
if(fabs(dtmp)<1){
if(p[k].x < p[0].x){
for (x = p[k].x; x <= p[0].x; x++){
i = (int)(dtmp*(x-p[k].x)+p[k].y-min.y+1);
j = (int)(x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (x = p[0].x; x <= p[k].x; x++){
i = (int)(dtmp*(x-p[k].x)+p[k].y-min.y+1);
j = (int)(x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
else{
if(p[k].y < p[0].y){
for (y = p[k].y; y <= p[0].y; y++){
i = (int)(y-min.y+1);
j = (int)(1/dtmp*(y-p[k].y)+p[k].x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
else{
for (y = p[0].y; y <= p[k].y; y++){
i = (int)(y-min.y+1);
j = (int)(1/dtmp*(y-p[k].y)+p[k].x-min.x+1);
omega->interior[i][j] = INTERNAL_AREA_IN;
}
}
}
}
omega->interior[0][0] = INTERNAL_AREA_OUT;
fill_external(omega,0,0,sizey,sizex);
for (i=0;i<sizey;i++){
for (j=0;j<sizex;j++){
if(omega->interior[i][j] == INTERNAL_AREA_UNDEF){
omega->interior[i][j] = INTERNAL_AREA_IN;
// data_pnt.y = (int)((i+min.y-1+omega->center.y)*(double)SCALE);
// data_pnt.x = (int)((j+min.x-1+omega->center.x)*(double)SCALE);
// cvCircle(img, data_pnt, 1, CV_RGB(0,255,0), 2, 8, 0);
}
// else if(omega->interior[i][j] == INTERNAL_AREA_IN){
// data_pnt.y = (int)((i+min.y-1+omega->center.y)*(double)SCALE);
// data_pnt.x = (int)((j+min.x-1+omega->center.x)*(double)SCALE);
// cvCircle(img, data_pnt, 1, CV_RGB(255,0,0), 2, 8, 0);
// }
}
}
return;
}
/******************************************************************************/
// check_crossection : check the crossection of two lines g1-g2 and g3-g4
// return : 1(intersected), 0(not intersected)
/******************************************************************************/
int check_crossection(DPoint g1, DPoint g2, DPoint g3, DPoint g4, int neighbor)
{
double a, b, c, d, e, f, tmp;
a = g1.x - g2.x;
b = g3.x - g4.x;
c = g1.y - g2.y;
d = g3.y - g4.y;
e = g3.x - g2.x;
f = g3.y - g2.y;
if(neighbor){ // g2 = g3
if((a*d - b*c) == 0)
if(a==0)
if(b==0)
if((g2.y-g1.y)*(g3.y-g4.y)<=0)
return 0;
else
return 1;
else // (a==0)&&(c==0) : g1=g2=g3
return 0;
else if(d==0)
if(c==0)
if((g2.x-g1.x)*(g3.x-g4.x)<=0)
return 0;
else
return 1;
else // (d==0)&&(b==0) : g2=g3=g4
return 0;
else
if((g2.x-g1.x)*(g3.x-g4.x)<=0)
return 0;
else
return 1;
else
return 0;
}
else{
if ( ((g1.x==g4.x)&&(g1.y==g4.y))
||((g1.x==g3.x)&&(g1.y==g3.y))
||((g2.x==g4.x)&&(g2.y==g4.y))
||((g2.x==g3.x)&&(g2.y==g3.y)))
return 1;
else{
if (a==0){ // g1.x = g2.x
if (c==0) // g1.y = g2.y
if (b==0) // g3.x. = g4.x
if (d==0) // g3.y = g4.y
return 0;
else // (d!=0) g1 = g2, g3.x = g4.x, g3.y != g4.y (vertical line)
if (e == 0){ // g2.x = g3.x
tmp = f/d;
if ((tmp >= 0)&&(tmp <= 1)) // point g1 = g2 is on line g3-g4
return 1;
else
return 0;
}
else // (e!= 0) g2.x != g3.x
return 0;
else // (b!= 0) g1 = g2, g3.x != g4.x
if (d==0) // g3.y = g4.y (horizontal line)
if (f==0){ // g2.y (= g1.y) = g3.y (= g4.y)
tmp = e/b;
if ((tmp >= 0)&&(tmp <= 1)) // point g1 = g2 is on line g3-g4
return 1; // ok
else
return 0;
}
else // (f!=0) g2.y != g3.y
return 0;
else{ // (d!=0) g1 = g2, g3 != g4
tmp = e/b;
if (f/d == tmp)
if ((tmp >= 0)&&(tmp <= 1)) // point g1 = g2 is on line g3-g4
return 1; // ok
else // point g1 = g2 is on the same direction of line g3-g4 but not on the line
return 0;
else // point g1 = g2 is not on the line g3-g4
return 0; // ok
}
else{ // (c!=0) g1.y ! = g2.y, line g1-g2 is vertical line
if (b==0) // g3.x = g4.x
if (d==0) // g3.y = g4.y (g3 = g4)
if (e==0){ // g2.x (= g1.x) = g3.x (= g4.x)
tmp = f/c;
if ((tmp >= 0)&&(tmp <= 1)) // point g3 = g4 is on line g1-g2
return 1; // ok
else // point g3 = g4 is on the same direction of line g1-g2 but not on the line
return 0; // ok
}
else // (e!=0) g2.x != g3.x point g3 = g4 is not on the line g1-g2
return 0;
else // (d!=0) g3-g4 (vertical line)
if (e == 0){ // g2.x = g3.x
if (g2.y > g1.y) // g1--------g2
if (g4.y > g3.y) // g3--------g4
if (g3.y>g2.y) // g1--------g2 g3--------g4
return 0;
else
if (g1.y>g4.y) // g3--------g4 g1--------g2
return 0;
else // g3-----g1---g4-------g2 : line g1-g2 and g3-g4 are overlapped
return 1;
else // g4--------g3
if (g4.y>g2.y) // g1--------g2 g4--------g3
return 0;
else
if (g1.y>g3.y) // g4--------g3 g1--------g2
return 0;
else // g4-----g1---g3-------g2 : line g1-g2 and g3-g4 are overlapped
return 1;
else // g2--------g1
if (g4.y > g3.y) // g3--------g4
if (g3.y>g1.y) // g2--------g1 g3--------g4
return 0;
else
if (g2.y>g4.y) // g3--------g4 g2--------g1
return 0;
else // g3-----g2---g4-------g1 : line g1-g2 and g3-g4 are overlapped
return 1;
else // g4--------g3
if (g4.y>g1.y) // g2--------g1 g4--------g3
return 0;
else
if (g2.y>g3.y) // g4--------g3 g2--------g1
return 0;
else // g4-----g2---g3-------g1 : line g1-g2 and g3-g4 are overlapped
return 1;
}
else // (e!=0) g2.x != g3.x two lines' direction are same but parallel
return 0;
else{ // (b!=0) g3.x != g4.x
tmp = (b*f-d*e)/(b*c);
if ((tmp >= 0)&&(tmp <= 1)){ // cross section point can be on line g1-g2
tmp = e/b;
if ((tmp >= 0)&&(tmp <= 1)) // cross section point can be on line g3-g4
return 1;
else
return 0;
}
else // cross section point is not on line g1-g2
return 0;
}
}
}
else // (a!=0) g1.x != g2.x
if (c==0) // g1.y = g2.y (g1-g2 horizontal line)
if (b==0) // g3.x. = g4.x
if (d==0) // g3.y = g4.y (g3 and g4 is same point)
if (f==0){ // g2.y = g3.y (= g4.x)
tmp = e/a;
if ((tmp >= 0)&&(tmp <= 1)) // point g3 = g4 is on line g1-g2
return 1;
else
return 0; // ok
}
else // (f!=0) point g3 = g4 is not on the same direction of line g1-g2
return 0; // ok
else{ // (d!=0) g3.y != g4.y (vertical line)
tmp = e/a;
if ((tmp >= 0)&&(tmp <= 1)){ // cross section point can be on line g1-g2
tmp = f/d;
if ((tmp >= 0)&&(tmp <= 1)) // cross section point can be on line g3-g4
return 1; // ok
else
return 0; // cross section point can not be on line g3-g4
}
else
return 0; // cross section point can not be on line g1-g2
}
else // (b!= 0) g3.x != g4.x
if (d==0) // g3.y = g4.y (horizontal line)
if (f==0){ // g2.y (= g1.y) = g3.y (= g4.y) (g1-g2 and g3-g4 are same horizontal direction)
if (g2.x > g1.x) // g1--------g2
if (g4.x > g3.x) // g3--------g4
if (g3.x>g2.x) // g1--------g2 g3--------g4
return 0;
else
if (g1.x>g4.x) // g3--------g4 g1--------g2
return 0;
else // g3-----g1---g4-------g2 : line g1-g2 and g3-g4 are overlapped
return 1;
else // g4--------g3
if (g4.x>g2.x) // g1--------g2 g4--------g3
return 0;
else
if (g1.x>g3.x) // g4--------g3 g1--------g2
return 0;
else // g4-----g1---g3-------g2 : line g1-g2 and g3-g4 are overlapped
return 1;
else // g2--------g1
if (g4.x > g3.x) // g3--------g4
if (g3.x>g1.x) // g2--------g1 g3--------g4
return 0;
else
if (g2.x>g4.x) // g3--------g4 g2--------g1
return 0;
else // g3-----g2---g4-------g1 : line g1-g2 and g3-g4 are overlapped
return 1;
else // g4--------g3
if (g4.x>g1.x) // g2--------g1 g4--------g3
return 0;
else
if (g2.x>g3.x) // g4--------g3 g2--------g1
return 0;
else // g4-----g2---g3-------g1 : line g1-g2 and g3-g4 are overlapped
return 1;
}
else // (f!=0) g2.y != g3.y (g1-g2 and g3-g4 are same horizontal direction but parallel)
return 0;
else{ // (d!=0) g3.y != g4.y
tmp = (d*e-b*f)/(a*d);
if ((tmp >= 0)&&(tmp <= 1)){ // cross section point can be on line g1-g2
tmp = f/d;
if ((tmp >= 0)&&(tmp <= 1)) // cross section point can be on line g3-g4
return 1;
else
return 0;
}
else // cross section point is not on line g1-g2
return 0;
}
else{ // (c!=0) g1.y ! = g2.y, line g1-g2 has incline (0<m<infinite)
if (b==0) // g3.x = g4.x
if (d==0){ // g3.y = g4.y (g3=g4 same point)
tmp = e/a;
if (f/c == tmp) // g3=g4 is on the direction of g1-g2
if ((tmp >= 0)&&(tmp <= 1)) // point g3=g4 is on line g1-g2
return 1; // ok
else // point g3 = g4 is on the same direction of line g1-g2 but not on the line
return 0; // ok
else // point g3 = g4 is not on the line g1-g2
return 0;
}
else{ // (d!=0) g3-g4 (vertical line)
tmp = e/a;
if ((tmp >= 0)&&(tmp <= 1)){ // cross section point can be on line g1-g2
tmp = (a*f-c*e)/(a*d);
if ((tmp >= 0)&&(tmp <= 1)) // cross section point can be on line g3-g4
return 1;
else
return 0;
}
else // cross section point is not on line g1-g2
return 0;
}
else{ // (b!=0) g3.x != g4.x
tmp = a*d-b*c;
if (tmp == 0){
if ((a*f-e*c) == 0){ // same direction
if (g2.x > g1.x) // g1--------g2
if (g4.x > g3.x) // g3--------g4
if (g3.x>g2.x) // g1--------g2 g3--------g4
return 0; // ok
else
if (g1.x>g4.x) // g3--------g4 g1--------g2
return 0;
else // g3-----g1---g4-------g2 : line g1-g2 and g3-g4 are overlapped
return 1; // ok
else // g4--------g3
if (g4.x>g2.x) // g1--------g2 g4--------g3
return 0;
else
if (g1.x>g3.x) // g4--------g3 g1--------g2
return 0;
else // g4-----g1---g3-------g2 : line g1-g2 and g3-g4 are overlapped
return 1; // ok
else // g2--------g1
if (g4.x > g3.x) // g3--------g4
if (g3.x>g1.x) // g2--------g1 g3--------g4
return 0; // ok
else
if (g2.x>g4.x) // g3--------g4 g2--------g1
return 0;
else // g3-----g2---g4-------g1 : line g1-g2 and g3-g4 are overlapped
return 1; // ok
else // g4--------g3
if (g4.x>g1.x) // g2--------g1 g4--------g3
return 0;
else
if (g2.x>g3.x) // g4--------g3 g2--------g1
return 0;
else // g4-----g2---g3-------g1 : line g1-g2 and g3-g4 are overlapped
return 1; // ok
}
else
return 0; // ok
}
else{
tmp = (d*e-b*f)/(a*d-b*c);
if ((tmp >= 0)&&(tmp <= 1)){ // cross section point can be on line g1-g2
tmp = (a*f-c*e)/(a*d-b*c);
if ((tmp >= 0)&&(tmp <= 1)) // cross section point can be on line g3-g4
return 1; // ok
else
return 0; // ok
}
else // cross section point is not on line g1-g2
return 0; // ok
}
}
}
}
}
}
void draw_curve_box(Curve *omega, IplImage *image)
{
int k;
CvPoint data_pntA, data_pntB;
CvScalar blue = CV_RGB(0,0,255);
CvScalar green = CV_RGB(0,255,0);
// Draw circle
for (k = 0;k<POINT_NUM;k++){
if(k!=0){
data_pntA.x = (int)((omega->r[k-1].x+omega->center.x)*SCALE);
data_pntA.y = (int)((omega->r[k-1].y+omega->center.y)*SCALE);
data_pntB.x = (int)((omega->r[k].x+omega->center.x)*SCALE);
data_pntB.y = (int)((omega->r[k].y+omega->center.y)*SCALE);
cvLine(image, data_pntA, data_pntB, green,0,8,0);
}
}
data_pntA.x = (int)((omega->r[k-1].x+omega->center.x)*SCALE);
data_pntA.y = (int)((omega->r[k-1].y+omega->center.y)*SCALE);
data_pntB.x = (int)((omega->r[0].x+omega->center.x)*SCALE);
data_pntB.y = (int)((omega->r[0].y+omega->center.y)*SCALE);
cvLine(image, data_pntA, data_pntB, green,0,8,0);
// Draw box
data_pntA.x = (int)((omega->min.x+omega->center.x)*SCALE);
data_pntA.y = (int)((omega->min.y+omega->center.y)*SCALE);
data_pntB.x = (int)((omega->max.x+omega->center.x)*SCALE);
data_pntB.y = (int)((omega->min.y+omega->center.y)*SCALE);
cvLine(image, data_pntA, data_pntB, blue,0,8,0);
data_pntA = data_pntB;
data_pntB.x = (int)((omega->max.x+omega->center.x)*SCALE);
data_pntB.y = (int)((omega->max.y+omega->center.y)*SCALE);
cvLine(image, data_pntA, data_pntB, blue,0,8,0);
data_pntA = data_pntB;
data_pntB.x = (int)((omega->min.x+omega->center.x)*SCALE);
data_pntB.y = (int)((omega->max.y+omega->center.y)*SCALE);
cvLine(image, data_pntA, data_pntB, blue,0,8,0);
data_pntA = data_pntB;
data_pntB.x = (int)((omega->min.x+omega->center.x)*SCALE);
data_pntB.y = (int)((omega->min.y+omega->center.y)*SCALE);
cvLine(image, data_pntA, data_pntB, blue,0,8,0);
}
void draw_curve(Curve *omega, IplImage *image, int text_type, CvScalar color)
{
int k;
CvPoint data_pntA, data_pntB;
// for text
char text[2000];
double hscale = 0.5;
double vscale = 0.5;
double shear = 0.2;
int line_type = 8;
CvFont font1;
CvPoint pt1;
CvScalar blue = CV_RGB(0,0,255);
CvScalar red = CV_RGB(255,0,0);
CvScalar yellow = CV_RGB(255,255,0);
int thickness = 0;
int connectivity = 8;
cvInitFont(&font1,CV_FONT_HERSHEY_DUPLEX,hscale,vscale,shear,thickness,line_type);
for(k=0;k<POINT_NUM;k++){
if(k!=0){
data_pntA.x = (int)((omega->r[k-1].x+omega->center.x)*SCALE);
data_pntA.y = (int)((omega->r[k-1].y+omega->center.y)*SCALE);
data_pntB.x = (int)((omega->r[k].x+omega->center.x)*SCALE);
data_pntB.y = (int)((omega->r[k].y+omega->center.y)*SCALE);
cvLine(image, data_pntA, data_pntB, color,0,8,0);
}
}
data_pntA.x = (int)((omega->r[k-1].x+omega->center.x)*SCALE);
data_pntA.y = (int)((omega->r[k-1].y+omega->center.y)*SCALE);
data_pntB.x = (int)((omega->r[0].x+omega->center.x)*SCALE);
data_pntB.y = (int)((omega->r[0].y+omega->center.y)*SCALE);
cvLine(image, data_pntA, data_pntB, color,0,8,0);
if(text_type != TEXT_NONE){
switch(text_type)
{
case TEXT_SINGLE_E:
sprintf(text, "%1.2f",omega->single_E);
break;
case TEXT_MULTIPLE_E:
sprintf(text, "%1.2f",omega->multiple_E);
break;
case TEXT_TOTAL_E:
sprintf(text, "%1.2f",omega->single_E + omega->multiple_E);
break;
case TEXT_BOTH_E:
sprintf(text, "(%1.2f, %1.2f)",omega->single_E, omega->multiple_E);
break;
case TEXT_E0_E1_E2:
sprintf(text, "(%1.2f: %1.2f, %1.2f, %1.2f)",omega->single_E,omega->e0, omega->e1, omega->e2);
break;
case TEXT_NUM_E0_E1_E2:
hscale = 0.3;
vscale = 0.3;
cvInitFont(&font1,CV_FONT_HERSHEY_DUPLEX,hscale,vscale,shear,thickness,line_type);
sprintf(text, "(%d: %1.0f, %1.0f, %1.0f)",omega->num,omega->e0, omega->e1, omega->e2);
break;
case TEXT_NUMBER:
default:
sprintf(text, "%d",omega->num);
break;
}
pt1 = cvPoint((int)((omega->center.x+4)*SCALE), (int)(omega->center.y*SCALE));
cvPutText(image,text,pt1,&font1,yellow);
}
}
void draw_curve2(DPoint *new_r, DPoint *old_r, IplImage *image, CvScalar color)
{
int k;
CvPoint data_pntA, data_pntB;
CvScalar red = CV_RGB(255,0,0);
CvScalar green = CV_RGB(0,255,0);
for(k=0;k<POINT_NUM;k++){
if(k!=0){
data_pntA.x = (int)((new_r[k-1].x*(double)SCALE));
data_pntA.y = (int)((new_r[k-1].y*(double)SCALE));
data_pntB.x = (int)((new_r[k].x *(double)SCALE));
data_pntB.y = (int)((new_r[k].y *(double)SCALE));
cvLine(image, data_pntA, data_pntB, color,0,8,0);
}
data_pntA.x = (int)((old_r[k].x *(double)SCALE));
data_pntA.y = (int)((old_r[k].y *(double)SCALE));
data_pntB.x = (int)((new_r[k].x *(double)SCALE));
data_pntB.y = (int)((new_r[k].y *(double)SCALE));
cvLine(image, data_pntA, data_pntB, green,0,8,0);
}
data_pntA.x = (int)((new_r[k-1].x*(double)SCALE));
data_pntA.y = (int)((new_r[k-1].y*(double)SCALE));
data_pntB.x = (int)((new_r[0].x *(double)SCALE));
data_pntB.y = (int)((new_r[0].y *(double)SCALE));
cvLine(image, data_pntA, data_pntB, color,0,8,0);
}
void draw_fill_curve(Curve *omega, IplImage *image)
{
int i,j;
CvPoint data_pntA;
CvScalar red = CV_RGB(255,0,0);
for (i=0;i < omega->max.y - omega->min.y + 3;i++){
for (j=0;j < omega->max.x - omega->min.x + 3;j++){
if(omega->interior[i][j] == INTERNAL_AREA_IN){
data_pntA.y = (int)(i+omega->min.y-1+omega->center.y)*SCALE;
data_pntA.x = (int)(j+omega->min.x-1+omega->center.x)*SCALE;
cvCircle(image, data_pntA, 1*SCALE, red, 2, 8, 0);
}
}
}
/*
int k;
CvPoint data_pnts[1][POINT_NUM];
const CvPoint* ppt[1] = { data_pnts[0] };
int npts[1];
CvScalar red = CV_RGB(255,0,0);
for (k= 0; k < POINT_NUM ; k++){
data_pnts[0][k].x = (omega->r[k].x + omega->center.x);
data_pnts[0][k].y = (omega->r[k].y + omega->center.y);
}
npts[0] = POINT_NUM;
cvFillPoly( image, ppt, npts, 1, red,8,0);
*/
}
int check_twistofcurve(DPoint *new_r)
{
int k, m, succeed=1;
for (k = 0; k <= POINT_NUM-2 ; k++){
if (k==0){
succeed *= !check_crossection(new_r[0],new_r[1],new_r[1],new_r[2],1);
if((succeed) == 0) return 0;
for (m = 2; m <= POINT_NUM-2 ; m++){
succeed *= !check_crossection(new_r[0],new_r[1],new_r[m],new_r[m+1],0);
}
succeed *= !check_crossection(new_r[POINT_NUM-1],new_r[0],new_r[0],new_r[1],1);
}
else if (k == POINT_NUM-2){
succeed *= !check_crossection(new_r[POINT_NUM-2],new_r[POINT_NUM-1],new_r[POINT_NUM-1],new_r[0],1);
}
else{
succeed *= !check_crossection(new_r[k],new_r[k+1],new_r[k+1],new_r[k+2],1);
for (m = k+2; m <= POINT_NUM-1 ; m++){
if (m == POINT_NUM-1){
succeed *= !check_crossection(new_r[k],new_r[k+1],new_r[POINT_NUM-1],new_r[0],0);
}
else{
succeed *= !check_crossection(new_r[k],new_r[k+1],new_r[m],new_r[m+1],0);
}
}
}
}
return succeed;
}
/******************************************************************************/
// Qbirth :
//
/******************************************************************************/
void Qbirth(Curve *omega, DPoint center, double delta_t, int rmin, int rmax, int cols, int rows)
{
int k;
double radius;
DPoint min, max, r;
radius = (rmin + ((double)rand()/RAND_MAX)*(rmax-rmin));
omega->state = STATE_NEW_BORN;
omega->center = center;
min.x = (double)cols;
max.x = -(double)cols;
min.y = (double)rows;
max.y = -(double)rows;
for (k = 0;k<POINT_NUM;k++){
// r.x = (5*(delta_t*k-M_PI)*(delta_t*k-M_PI)/(M_PI*M_PI)+radius-5)*cos(delta_t*k); // to test smoothness constraint
r.x = radius*cos(delta_t*k);
if (r.x + center.x < 0.) r.x = - center.x;
else if (r.x + center.x >= (double)cols-2) r.x = cols-2-center.x;
if(r.x > (double)CURVE_MAX) r.x = (double)CURVE_MAX;
if (r.x > max.x) max.x = r.x;
if (r.x < min.x) min.x = r.x;
// r.y = (5*(delta_t*k-M_PI)*(delta_t*k-M_PI)/(M_PI*M_PI)+radius-5)*sin(delta_t*k);
r.y = radius*sin(delta_t*k);
if (r.y + center.y < 0.) r.y = -center.y;
else if (r.y + center.y >= (double)rows-2) r.y = (double)rows-2-center.y;
if(r.y > (double)CURVE_MAX) r.y = (double)CURVE_MAX;
if (r.y > max.y) max.y = r.y;
if (r.y < min.y) min.y = r.y;
omega->r[k] = r;
}
omega->min = min;
omega->max = max;
}
/******************************************************************************/
// Single_Object :
//
/******************************************************************************/
int Single_Object(unsigned char **y, Curve *omega, double GD_step, double lambda_g, double lambda_G,
double GDepsilon, double delta_t, double *mean, double *vari, int cols, int rows,
IplImage *image, const char* win_name, CvVideoWriter *video)
{
int k,m,n,iter,succeed = 1;
double d2r_d2tx, d2r_d2ty, Laplacian_I, dtmp;
double G_r, G_hat_r, normalx, normaly, delta_Ex[POINT_NUM], delta_Ey[POINT_NUM];
double delta_r = 100*GDepsilon, delta_r_old;
DPoint old_r[POINT_NUM], new_r[POINT_NUM], normal_r[POINT_NUM];
double dxp1, dxm1, dyp1, dym1, sum1, sum2, sum3;
int i, j, sizex, sizey;
double gradientx, gradienty;
double delta_t2 = delta_t*delta_t;
CvScalar red = CV_RGB(255,0,0);
CvScalar green = CV_RGB(0,255,0);
CvScalar blue = CV_RGB(0,0,255);
CvScalar yellow = CV_RGB(255,255,0);
CvScalar cyan = CV_RGB(0,255,255);
CvScalar white = CV_RGB(255,255,255);
// unsigned char **laplacian;
// Draw Laplacian
// laplacian = (unsigned char **)get_img(cols, rows, sizeof(unsigned char));
// for (i = 1; i < rows-1; i++)
// for (j = 1; j < cols-1; j++){
// tmp = y[i+1][j]+y[i-1][j]+y[i][j+1]+y[i][j-1]-4*y[i][j];
// if(tmp==0)
// laplacian[i][j] = 0;
// else
// laplacian[i][j] = tmp+68;
// }
iter = 0;
for (k= 0; k < POINT_NUM ; k++){
new_r[k].x = (omega->r[k].x + omega->center.x);
new_r[k].y = (omega->r[k].y + omega->center.y);
}
// Do Gradient Descent Optimization to find minimum E
do {
delta_r_old = delta_r;
for (k= 0; k < POINT_NUM ; k++){
old_r[k].x = new_r[k].x;
old_r[k].y = new_r[k].y;
}
for (k = 0; k < POINT_NUM ; k++){
if (k==0){
d2r_d2tx = old_r[POINT_NUM-1].x;
d2r_d2tx = (old_r[k+1].x-2*old_r[k].x+old_r[POINT_NUM-1].x)/delta_t2;
d2r_d2ty = (old_r[k+1].y-2*old_r[k].y+old_r[POINT_NUM-1].y)/delta_t2;
normalx = (old_r[k+1].y-old_r[k].y);
normaly = -(old_r[k+1].x-old_r[k].x);
}
else if(k==POINT_NUM-1){
d2r_d2tx = (old_r[0].x-2*old_r[k].x+old_r[k-1].x)/delta_t2;
d2r_d2ty = (old_r[0].y-2*old_r[k].y+old_r[k-1].y)/delta_t2;
normalx = (old_r[0].y-old_r[k].y);
normaly = -(old_r[0].x-old_r[k].x);
}
else{
d2r_d2tx = (old_r[k+1].x-2*old_r[k].x+old_r[k-1].x)/delta_t2;
d2r_d2ty = (old_r[k+1].y-2*old_r[k].y+old_r[k-1].y)/delta_t2;
normalx = (old_r[k+1].y-old_r[k].y);
normaly = -(old_r[k+1].x-old_r[k].x);
}
// dtmp = sqrt(normalx*normalx+normaly*normaly);
// normalx = normalx/dtmp;
// normaly = normaly/dtmp;
dxp1 = old_r[k].x + 1.;
if(dxp1 > (double)(cols-2)) dxp1 = (double)(cols-2);
dxm1 = old_r[k].x - 1.;
if(dxm1 < 0) dxm1 = 0.;
dyp1 = old_r[k].y + 1.;
if(dyp1 > (double)(rows-2)) dyp1 = (double)(rows-2);
dym1 = old_r[k].y - 1.;
if(dym1 < 0) dym1 = 0.;
Laplacian_I = real_coord(y, old_r[k].y, dxp1) + real_coord(y, old_r[k].y, dxm1)
+ real_coord(y, dyp1, old_r[k].x) + real_coord(y, dym1, old_r[k].x)
- 4*real_coord(y, old_r[k].y, old_r[k].x);
//Laplacian_I = (double)y[(int)(old_r[k].y+0.5)][(int)(dxp1+0.5)] + (double)y[(int)(old_r[k].y+0.5)][(int)(dxm1+0.5)]
// + (double)y[(int)(dyp1+0.5)][(int)(old_r[k].x+0.5)] + (double)y[(int)(dym1+0.5)][(int)(old_r[k].x+0.5)]
// - 4*(double)y[(int)(old_r[k].y+0.5)][(int)(old_r[k].x+0.5)];
G_r = real_coord(y, old_r[k].y, old_r[k].x) - mean[1];
G_r = G_r*G_r;
G_r = G_r/(2.*vari[1]);
G_hat_r = real_coord(y, old_r[k].y, old_r[k].x) - mean[0];
G_hat_r = G_hat_r*G_hat_r;
G_hat_r = G_hat_r/(2.*vari[0]);
dtmp = lambda_g*Laplacian_I+lambda_G*(G_r-G_hat_r);
delta_Ex[k] = -2.*d2r_d2tx+normalx*dtmp;
delta_Ey[k] = -2.*d2r_d2ty+normaly*dtmp;
new_r[k].x = old_r[k].x - (GD_step*delta_Ex[k]);
if(new_r[k].x < 0) new_r[k].x = 0.;
else if(new_r[k].x > (double)(cols-2)) new_r[k].x = (double)(cols-2);
new_r[k].y = old_r[k].y - (GD_step*delta_Ey[k]);
if(new_r[k].y < 0) new_r[k].y = 0.;
else if(new_r[k].y > (double)(rows-2)) new_r[k].y = (double)(rows-2);
}
if(SHOW_WINDOW*LEVEL4){
// Clear and load image
LoadImageFromMemory(image, y);
draw_curve2(new_r, old_r, image, red);
// show
cvShowImage(win_name, image);
if (iter%10 ==0) cvWriteFrame( video, image );
// printf("iter = %d\n",iter);
// wait for a key
cvWaitKey((int)(1));
//cvWaitKey((int)(0));
}
// Check cross-section. If happen fail
succeed = check_twistofcurve(new_r);
// || r(k+1) - rk) ||
delta_r = 0.;