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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© 1997 B. G. Teubner Stuttgart
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Nie, X., Unbehauen, R. (1997). Mathematics of Denominator-separable Multidimensional Digital Filters with Application to Image Processing. In: Brøns, M., Bendsøe, M.P., Sørensen, M.P. (eds) Progress in Industrial Mathematics at ECMI 96. European Consortium for Mathematics in Industry, vol 9. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96688-9_25
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DOI: https://doi.org/10.1007/978-3-322-96688-9_25
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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