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Properties and Applications of Neighborhood Sequences

The wide-range used distance measurement in digital image processing is the Euclidean norm nowadays. This is defined over the set of the real numbers that is why it does not suit thedigital approach, perfectly. The use of neighborhood sequences is an alternative to the L p metrics and because they are based on the set of integers it is more suitable for digital thinking. In this paper we summarize some proper ties of neighborhood sequences and their applications in image processing methods.