## bitcoin

### Signature of Binary Objects

This example illustrates a simple way of converting the boundary of binary object into a 1-dimentional representation, or signature. One of the purpose of this conversion is to reduce the complexity of the representation for classification purpose. Let's have a look on how to convert the object to signature and compare the signature for different object shapes.

1. Original image (value 0 represent background while 1 represents object).

S = im2bw(S);
imshow(S);

2. Get the boundary and plot them on top of the original image.

[B,L,N,A] = bwboundaries(S);
imshow(S);
for cnt = 1:N
hold on;
boundary = B{cnt};
plot(boundary(:,2), boundary(:,1),'r');
hold on;
text(mean(boundary(:,2)), mean(boundary(:,1)),num2str(cnt));
end

figure;
subplotrow = ceil(sqrt(N));

3. Plot the signature of each object.

for cnt = 1:N
boundary = B{cnt};
[th, r]=cart2pol(boundary(:,2)-mean(boundary(:,2)), ...
boundary(:,1)-mean(boundary(:,1)));
subplot(subplotrow,N/subplotrow,cnt);
plot(th,r,'.');
axis([-pi pi 0 50]);