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F.11. CODE LISTINGS FOR CHAPTER 11
569
*****/
} /* ends dilate_not_join */
/*******************************************
*
*
can_dilate(...
*
*
This function decides if you can dilate
*
(set to value) a pixel without joining
*
two separate objects in a 3x3 area.
*
*
First, you grow regions inside the 3x3
*
area. Next, check if the center pixel
*
has neighbors with differing values.
*
If it does, you cannot dilate it because
*
that would join two separate objects.
*
*******************************************/
can_dilate(the_image, i, j, value)
int
i, j;
short **the_image, value;
{
int
a, b, c, d, count, found=0,
no_neighbor,
stack_pointer=-1,
stack_empty=1,
stack[12][2],
pop_a, pop_b,
one=1,
zero=0;
short first_value, label = 2, temp[3][3];
/**************************************
*
*
Copy the center pixel and its
*
neighbors to the temp array.
*
***************************************/
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570
APPENDIX F. SOURCE CODE LISTINGS
for(a=-1; a<2; a++)
for(b=-1; b<2; b++)
temp[a+1][b+1] = the_image[i+a][b+j];
/**************************************
*
*
Grow objects inside the temp array.
*
***************************************/
for(a=0; a<3; a++){
for(b=0; b<3; b++){
stack_empty
= 1;
stack_pointer = -1;
if(temp[a][b] == value){
little_label_and_check(temp, stack, label,
&stack_empty,
&stack_pointer,
a, b, value);
found = 1;
} /* ends if temp == value */
while(stack_empty == 0){
pop_a = stack[stack_pointer][0]; /* POP */
pop_b = stack[stack_pointer][1]; /* POP */
--stack_pointer;
if(stack_pointer <= 0){
stack_pointer = 0;
stack_empty
= 1;
} /* ends if stack_pointer */
little_label_and_check(temp, stack, label,
&stack_empty,
&stack_pointer,
pop_a, pop_b, value);
} /* ends while stack_empty == 0 */
if(found){
found = 0;
label++;
} /* ends if object_found */
} /* ends loop over b */
} /* ends loop over a */
/**************************************
*
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F.11. CODE LISTINGS FOR CHAPTER 11
571
*
Look at the center pixel. If it
*
has two non-zero neigbors whose
*
pixels are not the same, then
*
you cannot dilate.
*
***************************************/
first_value = -1;
for(a=0; a<3; a++){
for(b=0; b<3; b++){
if(temp[a][b] != 0 &&
first_value == -1){
first_value = temp[a][b];
}
if(temp[a][b] != 0 &&
first_value != -1){
if(temp[a][b] != first_value){
return(zero);
}
}
} /* ends loop over b */
} /* ends loop over a */
return(one);
} /* ends can_dilate */
/*******************************************
*
*
little_label_and_check(...
*
*
This function labels the objects in
*
in a 3x3 area.
*
*******************************************/
little_label_and_check(temp, stack, label, stack_empty,
stack_pointer, a, b, value)
int
a, b, stack[12][2],
*stack_empty, *stack_pointer;
short temp[3][3], label, value;
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572
APPENDIX F. SOURCE CODE LISTINGS
{
int c, d;
temp[a][b] = label;
for(c=a-1; c<=a+1; c++){
for(d=b-1; d<=b+1; d++){
if(c >= 0
&&
c <= 2
&&
d >= 0
&&
d <= 2)
if(temp[c][d] == value){ /* PUSH */
*stack_pointer = *stack_pointer + 1;
stack[*stack_pointer][0] = c;
stack[*stack_pointer][1] = d;
*stack_empty = 0;
} /* ends if temp == value */
} /* ends loop over d */
} /* ends loop over c */
} /* ends little_label_and_check */
/*******************************************
*
*
edm(..
*
*
This function calculates the Euclidean
*
distance measure for objects in an image.
*
It calculates the distance from any
*
pixel=value to the nearest zero pixel
*
*******************************************/
edm(the_image, out_image,
value, rows, cols)
short **the_image,
**out_image,
value;
long
cols, rows;
{
int
a, b, count, i, j, k;
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F.11. CODE LISTINGS FOR CHAPTER 11
573
for(i=0; i<rows; i++)
for(j=0; j<cols; j++)
out_image[i][j] = 0;
/***************************
*
*
Loop over image array
*
****************************/
printf("\n");
for(i=0; i<rows; i++){
if( (i%10) == 0) printf("%3d", i);
for(j=0; j<cols; j++){
if(the_image[i][j] == value)
out_image[i][j] = distance_8(the_image,
i, j,
value,
rows, cols);
} /* ends loop over j */
} /* ends loop over i */
} /* ends edm */
/*******************************************
*
*
distance_8(..
*
*
This function finds the distance from
*
a pixel to the nearest zero pixel.
*
It search in all eight directions.
*
*******************************************/
distance_8(the_image, a, b, value, rows, cols)
int
a, b;
short **the_image, value;
long cols, rows;
{
int i, j, measuring;
short dist1 = 0,
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574
APPENDIX F. SOURCE CODE LISTINGS
dist2 = 0,
dist3 = 0,
dist4 = 0,
dist5 = 0,
dist6 = 0,
dist7 = 0,
dist8 = 0,
result = 0;
/* straight up */
measuring = 1;
i = a;
j = b;
while(measuring){
i--;
if(i >= 0){
if(the_image[i][j] == value)
dist1++;
else
measuring = 0;
}
else
measuring = 0;
} /* ends while measuring */
result = dist1;
/* straight down */
measuring = 1;
i = a;
j = b;
while(measuring){
i++;
if(i <= rows-1){
if(the_image[i][j] == value)
dist2++;
else
measuring = 0;
}
else
measuring = 0;
} /* ends while measuring */
if(dist2 <= result)
result = dist2;
/* straight left */
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F.11. CODE LISTINGS FOR CHAPTER 11
575
measuring = 1;
i = a;
j = b;
while(measuring){
j--;
if(j >= 0){
if(the_image[i][j] == value)
dist3++;
else
measuring = 0;
}
else
measuring = 0;
} /* ends while measuring */
if(dist3 <= result)
result = dist3;
/* straight right */
measuring = 1;
i = a;
j = b;
while(measuring){
j++;
if(j <= cols-1){
if(the_image[i][j] == value)
dist4++;
else
measuring = 0;
}
else
measuring = 0;
} /* ends while measuring */
if(dist4 <= result)
result = dist4;
/* left and up */
measuring = 1;
i = a;
j = b;
while(measuring){
j--;
i--;
if(j >= 0 && i>=0){
if(the_image[i][j] == value)
dist5++;
576
APPENDIX F. SOURCE CODE LISTINGS
else
measuring = 0;
}
else
measuring = 0;
} /* ends while measuring */
dist5 = (dist5*14)/10;
if(dist5 <= result)
result = dist5;
/* right and up */
measuring = 1;
i = a;
j = b;
while(measuring){
j++;
i--;
if(j <=cols-1 && i>=0){
if(the_image[i][j] == value)
dist6++;
else
measuring = 0;
}
else
measuring = 0;
} /* ends while measuring */
dist6 = (dist6*14)/10;
if(dist6 <= result)
result = dist6;
/* right and down */
measuring = 1;
i = a;
j = b;
while(measuring){
j++;
i++;
if(j <=cols-1 && i<=rows-1){
if(the_image[i][j] == value)
dist7++;
else
measuring = 0;
}
else
measuring = 0;
F.11. CODE LISTINGS FOR CHAPTER 11
577
} /* ends while measuring */
dist7 = (dist7*14)/10;
if(dist7 <= result)
result = dist7;
/* left and down */
measuring = 1;
i = a;
j = b;
while(measuring){
j--;
i++;
if(j >=0 && i<=rows-1){
if(the_image[i][j] == value)
dist8++;
else
measuring = 0;
}
else
measuring = 0;
} /* ends while measuring */
dist8 = (dist8*14)/10;
if(dist8 <= result)
result = dist8;
return(result);
} /* ends distance_8 */
/*******************************************
*
*
mat(..
*
*
This function finds the medial axis
*
transform for objects in an image.
*
The mat are those points that are
*
minimally distant to more than one
*
boundary point.
*
*******************************************/
578
APPENDIX F. SOURCE CODE LISTINGS
mat(the_image, out_image,
value, rows, cols)
short **the_image,
**out_image,
value;
long
cols, rows;
{
int
a, b, count, i, j, k,
length, width;
for(i=0; i<rows; i++)
for(j=0; j<cols; j++)
out_image[i][j] = 0;
/***************************
*
*
Loop over image array
*
****************************/
printf("\n");
for(i=0; i<rows; i++){
if( (i%10) == 0) printf("%3d", i);
for(j=0; j<cols; j++){
if(the_image[i][j] == value)
out_image[i][j] = mat_d(the_image,
i, j, value,
rows, cols);
} /* ends loop over j */
} /* ends loop over i */
} /* ends mat */
/*******************************************
*
*
mat_d(..
*
*
This function helps find the medial
*
axis transform.
*
*
This function measures the distances
*
from the point to a zero pixel in all
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