Abstract
This chapter examines the possibility of implementing the Hough transform for line and circle detection on the array with reconfigurable optical buses (AROB). The AROB combines some of the advantages and characteristics of reconfigurable meshes and meshes with optical pipelined buses. It is shown that the Hough transform for line and circle detection in an N × N image can be implemented optimally in a constant number of steps. The costs of the two algorithms are O(N 2 p) and O(N 2 p 2), respectively, where p is the magnitude of one dimension in the parameter space. These values are optimal with respect to the corresponding time complexities of the best known sequential algorithms.
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