LULU operators for functions of continuous argument

Details LULU operators for functions of continuous argument LULU operators for functions of continuous argument

2007-11-13

arxiv.org/abs/0711.1944v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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