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Institute of Electrical and Electronics Engineers, IEEE Transactions on Image Processing, 11(19), p. 3012-3023, 2010

DOI: 10.1109/tip.2010.2050639

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LULU operators and discrete pulse transform for multidimensional arrays

Journal article published in 2010 by Roumen Anguelov, Inger Nicolette Fabris-Rotelli ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

The LULU operators for sequences, that is Ln , Un and their compositions, are extended to multidimensional arrays in a way which preserves their essential properties, e.g., consistent separation, total variation and shape preservation. The power of the operators is demonstrated by deriving the discrete pulse transform (DPT), which is a hierarchical decomposition of the input array into pulses. Similar to its 1-D counterpart this transform satisfies a basic consistency property.