Metric and non-metric distances on Z by generalized neighbourhood sequences
نویسنده
چکیده
The neighbourhood sequences have got a very important role in the digital image processing. In this paper we give some new results from this area. Using neighbourhood sequences on the n dimensional digital spaces, we give a formula to compute distances of any pairs of points. By practical reasons we underline the special cases of 2 and 3 dimensional digital spaces. It is known that there are non-metrical distances defined by neighbourhood sequeces. Furhermore, in this paper we are answering the question what the necessary and sufficient condition is to have metrical distances.
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تاریخ انتشار 2005