An O(n/sup 2/) time serial algorithm is developed for obtaining the medial axis transform (MAT) of an n*n image. An O(log n) time CREW PRAM algorithm and an O(log/sup 2/ n) time SIMD hypercube parallel algorithm for the MAT are also developed. Both of these use O(n/sup 2/) processors. Two problems associated with the MAT, the area and perimeter reporting problem, are studied. An O(log n) time hypercube algorithm is developed for both of them, where n is the number of squares in the MAT, and the algorithms use O(n/sup 2/) processors.
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