MATLAB Code Implementation of Hough Transform

This program implements the Hough Transform, one of the most fundamental methods in image processing for geometric shape recognition. The core principle of Hough Transform leverages the duality between points and lines, converting given curves from the original image space into corresponding points in the parameter space through parametric representations. This transformation converts the problem of detecting specific curves in the original image into identifying peak values in the parameter space - effectively shifting from global feature detection to local characteristic analysis. The implementation includes edge detection using operators like Sobel or Canny, parameter space initialization with theta-rho discretization for line detection, and accumulator matrix voting mechanisms. For circle detection, the code implements gradient-based Hough transform with three-dimensional parameter spaces (x-center, y-center, radius). The algorithm handles various geometric shapes including lines, ellipses, circles, and arcs through customizable parameter thresholds and voting procedures.