Conformal Geometric Algebra Method For Detection Of Geometric Primitives

In this paper, we present a geometric algebra approach for detection of geometric entities in images. Our algorithm is grounded on two methodologies: representation of geometric entities and perceptual properties using Conformal Geometric Algebra, and a voting scheme which is implemented using a clustering algorithm. Our method is applied in a hierarchical way, so that, we extract local and global information from images. Experimental results show the application of our approach to detection of circles, lines, complex structures of shape, and symmetry axis. In addition, we show an FPGA implementation that speed-up the execution time of the algorithm.