Parallel algorithms for the medial axis transform on linear arrays with a reconfigurable pipelined bus system

In this paper based on the advantages of both optical transmission and electronic computation, we first provide an O(log log N) bus cycles parallel algorithm for the medial axis transform of an N×N binary image on a linear array with a reconfigurable pipelined bus system using N² processors. By increasing the number of processors, the proposed algorithm can be modified to run in O(log log_q N) and O(1) bus cycles using qN² and N²⁺¹∈/ processors respectively, where 1≤q≤√N, ∈ is a constant and ∈≥1. These results improve on previously known algorithms developed on various parallel computation models. Key Words: Medial axis transform, image processing, image compression, computer vision, parallel algorithms, linear array with a reconfigurable pipelined bus system.