How do I measure distance between all pixels in a letter?

I have an image like this:

and would need to measure the distance of all black pixels (which make up the letter T) from each other.

Can anyone recommend the best way?

I am particularly interested in the distance between pixels that make up the 'border' of the T, essentially this:

would you advise that I first turn the T into its own perimeter only (as in the second figure) and then map? Or is there a clever way to say "just map distances between pixels at the edge)?

many thanks

[Voss]

Say the border of the T contains 1000 pixels. Then the distance of all pixels from each other is a set of 1000*999 = 999000 distances (or 1000*1000 = 1000000 distances if we include the zero distances that each pixel is away from itself). Is that what you want to do?

Answer 1

[Matt J]

load image

[i,j]=find(bwperim(A))

distances=pdist2([i,j], [i,j]);

[mr]

sorry, basic question, how did you save my image as logical structure?

[Matt J]

I used imbinarize().