Transform Non Concentric circles into rectangle

http://tgbasics.weebly.com/uploads/2/5/4/1/25411473/5759319_orig.jpg

Hi, I have a non concentric circles that looks like this:

I have the center coordinates and radius of the circles (x1,y2,r1),(x2,y2,r2). What is the best way to transform it into a rectangle?

Answer 1

[Image Analyst]

To get the x and y of the dashed rectangle you show, the obvious way is simply:

x1r = min(x1, x2);
x2r = max(x1, x2);
y1r = min(y1, y2);
y2r = max(y1, y2);

Of course the radii have nothing to do with that rectangle. They only matter if you want the bounding box of both circles, in which case you'd do this:

x1r = min(x1-r1, x2-r2);
x2r = max(x1+r1, x2+r2);
y1r = min(y1-r1, y2-r2);
y2r = max(y1+r1, y2+r2);

But that's so obvious I'm sure you've already thought about that, so that must not be what you mean. Please describe EXACTLY what "transform" means to you? Like a series of images where the circles gradually morph into rectangles or whatever.

[Lanceric Tse]

I need to apply this transform on an iris image, where I transform the iris into a rectangle image like this

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[Image Analyst]

Please describe EXACTLY what "transform" means to you.

Your last comment didn't even come close.