广义邻域序列在Z/sup上的度量和非度量距离

ISPA 2005. Proceedings of the 4th International Symposium on Image and Signal Processing and Analysis, 2005. Pub Date : 2005-10-24 DOI:10.1109/ISPA.2005.195412

B. Nagy

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引用次数: 15

摘要

邻域序列在数字图像处理中起着非常重要的作用。本文给出了这一领域的一些新结果。利用n维数字空间上的邻域序列，给出了计算任意点对之间距离的公式。由于实际原因，我们强调了二维和三维数字空间的特殊情况。已知存在由邻域序列定义的非格律距离。此外，本文还回答了测量距离存在的充分必要条件是什么。

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Metric and non-metric distances on Z/sup n/ by generalized neighbourhood sequences

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 sequences. Furthermore, in this paper we are answering the question what the necessary and sufficient condition is to have metrical distances.

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ISPA 2005. Proceedings of the 4th International Symposium on Image and Signal Processing and Analysis, 2005.

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