Dept. of Computer Science, State University of New York at Buffalo
Quentin F. Stout
Computer Science and Engineering, University of Michigan
Abstract: The pyramid computer was initially proposed for performing high-speed low-level image processing. However, its regular geometry can be adapted quite naturally to many other problems, providing effective solutions to problems more complex than those previously considered. We illustrate this by presenting pyramid computer solutions to problems involving component labeling, minimal spanning forests, nearest neighbors, transitive closure, articulation points, bridge edges, etc. Central to these algorithms is our collection of data movement techniques which exploit the pyramid's mix of tree and mesh connections. Our pyramid algorithms are significantly faster than their mesh-connected computer counterparts. For example, given a black/white square picture with n pixels, the pyramid can label the connected components in Θ(n1/4) time, as compared with the Ω(n1/2) time required on the mesh.
Keywords: parallel computer, pyramid computer, graph algorithms, computational geometry, image processing, component labeling, mesh computer, data movement operations, parallel algorithms, computer science
Complete paper. This paper appears in SIAM J. on Computing 16 (1987), pp. 38-60.
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