A Class of LULU Operators on Multi-Dimensional Arrays

12/18/2007

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by   Roumen Anguelov, et al.

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The LULU operators for sequences are extended to multi-dimensional arrays via the morphological concept of connection in a way which preserves their essential properties, e.g. they are separators and form a four element fully ordered semi-group. The power of the operators is demonstrated by deriving a total variation preserving discrete pulse decomposition of images.