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A simple parallel algorithm for the medial axis transform of binary images

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4 Author(s)
Fujiwara, A. ; Graduate Sch. of Inf. Sci, Nara Inst. of Sci. & Technol., Japan ; Inoue, I. ; Masusawa, T. ; Fyjiwara, H.

The medial axis transform (MAT) is an image representation scheme. For a binary image, the MAT is defined as a set of upright maximal squares which consist of pixels of value 1 entirely. The MAT plays an important role in image understanding. The paper presents a parallel algorithm for computing the MAT of an n×n binary image. We show that the algorithm can be performed in O(log n) time using n2/log n processors on the EREW PRAM and in O(log log n) time using n2/log log n processors on the common CRCW PRAM. We also show that the algorithm can be performed in O(n2/p2+n) time on a p×p mesh and in O(n2/p2+(n log p)/p) time on a p2 processor hypercube (for 1⩽p⩽n). The algorithm is cost optimal on the PRAMs, on the mesh (for 1⩽p⩽√n) and on the hypercube (for 1⩽p⩽n/log n)

Published in:

Algorithms & Architectures for Parallel Processing, 1996. ICAPP 96. 1996 IEEE Second International Conference on

Date of Conference:

11-13 Jun 1996