In Evaluation of Multicomputers for Image Processing, L. Uhr et al., eds, Academic Press, 1986, pp. 107-121

An Algorithmic Comparison of Meshes and Pyramids

Quentin F. Stout
Computer Science and Engineering, University of Michigan

Abstract: Pyramid computers contain mesh computers, so for any problem pyramids should never run slower than meshes, and they have the potential of running much faster. This would seem to indicate that pyramids should always be prefered, but it ignores the fact that pyramids are more complicated and expensive to build. It also ignores the facts that pyramids cannot always achieve their potential for logarithmic time algorithms, and that in general it is much more difficult to develop good pyramid algorithms. These latter two facts are the focus of this paper, which begins an analysis of the relative merits of meshes versus pyramids by considering their optimal speed on a few tasks, along with the difficulty of developing optimal algorithms.

Keywords: parallel computer, mesh-connected, pyramid, image processing, convexity, component labeling, divide-and-conquer, computer science

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