title: LULU operators and discrete pulse transform for multi-dimensional arrays.
abstract: The LULU operators for sequences, that is L(n), U(n) 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.
authors.forename: Roumen
authors.initials: R
authors.lastname: Anguelov
authors.forename: Inger
authors.initials: I
authors.lastname: Fabris-Rotelli