A parallel MSF algorithm for planar graphs on a mesh and applications to image processing

David Nassimi
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引用次数: 1

Abstract

The author presents an efficient O(n) parallel algorithm for finding a minimum-cost spanning forest (MSF) of a weighted undirected planar graph with n/sup 2/ edges, on an n*n mesh-connected computer. He also obtains efficient MSF-based O(n) algorithms for several application problems in image processing. In particular, he shows that an MSF can be used to obtain more efficient and elegant O(n) algorithms for the 'k-width connectivity' problem and the 'optical clustering' problem.<>
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网格上平面图形的并行MSF算法及其在图像处理中的应用
本文提出了在n*n网格连接计算机上求n/sup 2/条边的加权无向图的最小代价生成森林(MSF)的高效O(n)并行算法。他还为图像处理中的几个应用问题获得了高效的基于msf的O(n)算法。特别是,他展示了MSF可以用来获得更有效和优雅的O(n)算法来解决“k-宽度连接”问题和“光聚类”问题。
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