Ellipse Detection using Hough Transform

Question

using Hough Transform, how can I detect and get coordinates of (x0,y0) and \"a\" and \"b\" of an ellipse in 2D space?

This is ellipse01.bmp:

Answer 1

If you use circle for rough transform is given as rho = xcos(theta) + ysin(theta) For ellipse since it is

You could transform the equation as rho = axcos(theta) + bysin(theta) Although I am not sure if you use standard Hough Transform, for ellipse-like transforms, you could manipulate the first given function.