Abstract
A generalized distance measure called m-neighbor distance in n-D quantized space is presented. Its properties as a metric are examined. It is shown to give the shortest path length between two points in n-D digital space. An algorithm for finding such a shortest path between two points is presented. It is shown that lower dimension (2-D and 3-D) distance measures presently used in digital geometry can easily be derived as special cases. Other properties of m-neighbor distance are also examined.
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