LULU operators for functions of continuous argument

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LULU operators for functions of continuous argument

Anguelov, Roumen; Rohwer, Carl (Carl H.)
URI: http://hdl.handle.net/2263/14456
Date: 2009

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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