In 1962 Hough earned the patent for a method [1], popularly called Hough Transform (HT) that efficiently identifies lines in images. It is an important tool even after the golden jubilee year of existence, as evidenced by more than 2500 research papers dealing with its variants, generalizations, properties and applications in diverse fields. The current paper is a survey of HT and its variants,...

We proposed a semi-automated method to detect and track vessel centerlines in CTA and MRA images. During the tracking process, we analyze probable bifucation points. The methodology has shown to work well under significant amounts of noise. The main contribution of this work is the use of HT to define the seed point for tracking and detecting the vessel scale without resorting to multiscale ana...

We propose an algorithm for recovering the matrix A in X = AS where X is a random vector of lower dimension than S. S is assumed to be sparse in the sense that S has less nonzero elements than the dimension of X at any given time instant. In contrast to previous approaches, the computational time of the presented algorithm is linear in the sample number and independent of source dimension, and ...