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LULU Operators and Discrete Pulse Transform for Multidimensional Arrays

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2 Author(s)
Anguelov, R. ; Dept. of Math. & Appl. Math., Univ. of Pretoria, Pretoria, South Africa ; Fabris-Rotelli, I.

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.

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Image Processing, IEEE Transactions on  (Volume:19 ,  Issue: 11 )