How to generate polar shape matrix ?

hello friends,

I want to know how to generate a polar shape matrix from an binary object. Shape matrix can used for shape representation. The algorithm to create shape matrix are : " a shape is transforms into a matrix by polar quantization of the shape. Assuming O is center of gravity of the shape and OA with length L is the maximum radius of the shape, to obtain an m x n matrix representation of the shape, we divide OA into (n-1) equal distances and draw circles centering at O and radii L/(n-1), 2L/(n-1), ..., (n-1) L /(n-1). If the circles intersect the maximum radius of the shape (line OA) at i1,i2,..., in-1, then starting from i1, i2, ..., in-1 and counter-clockwise, we divide each circle into m equal arcs, each arc being theta = 360/m degrees. Then an m x n matrix - which called shape matrix.

I know the concept of polar shape matrix by theoretically, But I want how to implement it. I have complete the implementation up to finding the center point of binary image. the I have attach the figure which provides the concept of theory.

Someone please help me to implement further process. thanks in advance.

Answer 1

[Walter Roberson]

http://matlab.wikia.com/wiki/FAQ#How_do_I_create_a_circle.3F

[Luju Patel]

I have a same question, how to draw polar plot on binary image?