Parabola detection using Hough Transform

Find parabolas with specific vertex in a binary image via Hough Transform.

Function uses Standard Hough Transform to detect parabola in a binary image. According to the Hough Transform, each pixel in image space corresponds to a parabola in Hough space and vise versa. This function uses the representation of parabola : [(y-centroy)*cos(phi)-(x-centrox)*sin(phi)]^2=...
...=4*p*[(y-centroy)*sin(phi)+(x-centrox)*cos(phi)] to detect parabola in binary image. Upper left corner of image is the origin of coordinate system.