Abstract
In digital image processing, multi-dimensional digital filters play a central role. A special class of two-dimensional digital filters is considered based on their characterization by transfer functions. It will be shown that a number of analytical results can be employed to design and implement two-dimensional digital filters with a separable denominator of the transfer function. The results are not applicable to the design of general two-dimensional filters. In order to simplify the design and to make the realisation of two-dimensional filters efficient, filters with separable denominator transfer functions might be preferable in practice.
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