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Serial and parallel algorithms for the medial axis transform

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2 Author(s)
Jenq, J.-F. ; Dept. of Phys.-Math.-Comput. Sci., Tennessee State Univ., Nashville, TN, USA ; Sahni, S.

An O(n2) 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(log2 n) time SIMD hypercube parallel algorithm for the MAT are also developed. Both of these use O(n2) 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(n2) processors

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:14 ,  Issue: 12 )