# how to generate two random binary images with remove overlapping ?

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Mohammed Alammar on 5 Dec 2019
Commented: Image Analyst on 6 Dec 2019
hi,
I am looking to creat two random binary images with remove overlapping. the second image should be random and not contact or overlape with first one.I have did this code:
clc; clear all;
A=[0 0 0 0 ;...
0 0 0 0 ;...
0 0 0 0 ;...
0 0 0 0 ;...
0 0 0 0];
N =2;
for k= 1:N
if k>1
(A(y0:y1,x0:x1)+1)==[];
if A>=0
X(k,:) = randi([1,min(size(A))],1,2);
Y(k,:) = randi([1,min(size(A))],1,2);
x0= min(X(k,:));
x1= max(X(k,:));
y0= min(Y(k,:));
y1= max(Y(k,:));
A(y0:y1,x0:x1)=1;
xyStart(k,:) = [y0,x0];
xyEnd(k,:) = [y1,x1];
end
else
X(k,:) = randi([1,min(size(A))],1,2);
Y(k,:) = randi([1,min(size(A))],1,2);
x0= min(X(k,:));
x1= max(X(k,:));
y0= min(Y(k,:));
y1= max(Y(k,:));
A(y0:y1,x0:x1)=1;
xyStart(k,:) = [y0,x0];
xyEnd(k,:) = [y1,x1];
end
end
this code work with first one but does not work with the seconed image, could you please help me?
one example of expect answer:(Note it are random)
A=[1 1 0 0 ;...
1 1 0 0 ;...
0 0 0 0 ;...
0 1 1 1 ;...
0 1 1 1];

Akira Agata on 5 Dec 2019
I'm not clearly understainding your question.
As for generating random binary matrix, you can use randi function to easily generate it.
For example, if you want to generate two 5-by-4 random binary matrix, say A and B, you can do this by the following two-line code:
A = randi([0 1],5,4);
B = randi([0 1],5,4);
But what do you mean by 'with remove overlapping' ?
Mohammed Alammar on 5 Dec 2019
Dear,
I would like to thank you. I mean when I have to create random two binary images using the code below:
clc; clear all;
A=[0 0 0 0 ;...
0 0 0 0 ;...
0 0 0 0 ;...
0 0 0 0 ;...
0 0 0 0];
N =2;
for k= 1:N
X(k,:) = randi([1,min(size(A))],1,2);
Y(k,:) = randi([1,min(size(A))],1,2);
x0= min(X(k,:));
x1= max(X(k,:));
y0= min(Y(k,:));
y1= max(Y(k,:));
A(y0:y1,x0:x1)=1;
xyStart(k,:) = [y0,x0];
xyEnd(k,:) = [y1,x1];
end
However, there are possible overlap between the two binary images that i need to remove it. Also, ther are possible to be two binary image connecting together in the one or more boundries which I do not need it ,too.
I need to create two completely separate random binary images like this:
A=[1 1 0 0 ;... or may be A=[0 1 1 1 ;...
1 1 0 0 ;... 0 0 0 0 ;...
0 0 0 0 ;... 0 0 0 0 ;...
0 1 1 1 ;... 1 1 1 0 ;...
0 1 1 1]; 1 1 1 0];

Akira Agata on 6 Dec 2019
OK, maybe I could understand your intention.
nRow = 5;
nCol = 4;
while true
% Prepare a blank binary image
A = false(nRow,nCol);
% Put two rectangle randomly
for kk2 = 1:2
r = randi(nRow);
c = randi(nCol);
h = randi(nRow - r + 1);
w = randi(nCol - c + 1);
A(r:r+h-1,c:c+w-1) = true;
end
% If these two rectangles are separated, then stop the process
s = regionprops(A);
if numel(s) == 2
break;
end
end

#### 1 Comment

Image Analyst on 6 Dec 2019
OK, since he accepted, I guess that's what he meant. I'll try to rephrase it for others because it was confusing when he's asking about two binary images and then to "remove it". I believe it should say:
"I'd like to create one binary image with two distinct (non-overlapping) regions in it by randomly creating these regions in the image. The algorithm should create two regions in an image, and if these regions overlap or touch each other in the image, then discard that image and generate a new image (try again)."

Image Analyst on 5 Dec 2019
You can just do this, if I understood correctly:
% Make a binary image of the combination of the images, but without the overlapping pixels
bw3 = xor(bw1, bw2);
% Or if you want each without the union...
overlapping = bw1 & bw2;
bw1a = bw1 & ~overlapping;
bw2a = bw2 & ~overlapping;

Image Analyst on 5 Dec 2019
Still not sure what you want. Please give the two input binary images, and give the output you want.
Do you just want to crop out each 1 region into its own image, like I do in my Image Processing Tutorial in my File Exchange?

#### 1 Comment

Mohammed Alammar on 6 Dec 2019
dear,
when the input is
A=zeros(5,4);
I need to create two squares or rectangles each one has random location and size in (A) matrix without any contact together or overlap at all.
like this:
A=[1 1 0 0 ;... or may be A=[0 1 1 1 ;...
1 1 0 0 ;... 0 0 0 0 ;...
0 0 0 0 ;... 0 0 0 0 ;...
0 1 1 1 ;... 1 1 1 0 ;...
0 1 1 1]; 1 1 1 0];