Article ID Journal Published Year Pages File Type
420595 Discrete Applied Mathematics 2008 8 Pages PDF
Abstract

In this paper we generalize some former results of Das et al. about distances with nn-dimensional periodic neighbourhood sequences. We use a more general definition of neighbourhood sequences, which does not require periodicity. As an extension of the earlier results, we give a formula to calculate the distance between two arbitrary points with general neighbourhood sequences in an arbitrary finite dimension. Moreover we extend the result to the infinite-dimensional digital space.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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