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arXiv · 0711.1944

LULU operators for functions of continuous argument

Roumen Anguelov Carl Rohwer
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Abstract

The LULU operators, well known in the nonlinear multiresolution analysis of sequences, are extended to functions defined on a continuous domain, namely, a real interval. We show that the extended operators replicate the essential properties of their discrete counterparts. More precisely, they form a fully ordered semi-group of four elements, preserve the local trend and the total variation.

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Roumen Anguelov Carl Rohwer. 2007-11-13. LULU operators for functions of continuous argument. https://arxiv.org/abs/0711.1944

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