确定网格上的最大k-宽度连通性

Susanne E. Hambrusch, F. Dehne
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引用次数: 2

摘要

假设我是一个n*n个二进制图像存储在n*n个处理器的网格中,每个处理器一个像素。如果在任意一对值为“I”的像素之间存在一条宽度为k的路径(仅由1个像素组成),则图像I是k-宽度连接的。作者考虑了使I是k-宽度连接的最大整数k的确定问题,并提出了一种最优的O(n)时间网格结构算法。
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Determining maximum k-width-connectivity on meshes
Let I be a n*n binary image stored in a n*n mesh of processors with one pixel per processor. Image I is k-width-connected if, informally, between any pair of pixels of value 'I' there exists a path of width k (composed of 1-pixels only). The authors consider the problem of determining the largest integer k such that I is k-width-connected, and present an optimal O(n) time algorithm for the mesh architecture.<>
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