Hough Transform recursive evaluation using Distributed Arithmetic

The Hough Transform (HT) is a useful technique in image segmentation, concretely for geometrical primitive detection. A Convolution-Based Recursive Method (CBRM) is presented for generic function evaluation. In this approach, calculations are carried out by a unique parametric formula which provides all function points by successive iteration. The case of combined trigonometric functions involved in the calculation of the HT is analyzed under this scope. An architecture for reconfigurable FPGA-based hardware, using Distributed Arithmetic (DA) implements the design. It provides memory and hardware resource saving as well as speed improvements according to the experiments carried out with the HT.