LULU operators for functions of continuous argument

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dc.contributor.author Anguelov, Roumen
dc.contributor.author Rohwer, Carl (Carl H.)
dc.date.accessioned 2010-07-15T06:30:08Z
dc.date.available 2010-07-15T06:30:08Z
dc.date.issued 2009
dc.description.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. en
dc.identifier.citation Anguelov, R & Rohwer, C 2009, 'LULU operators for functions of continuous argument', Quaestiones Mathematicae, vol. 32, pp. 1-21. [http://www.nisc.co.za/journals?id=7] en
dc.identifier.issn 1607-3606
dc.identifier.uri http://hdl.handle.net/2263/14456
dc.language.iso en en_US
dc.publisher NISC en_US
dc.rights NISC en_US
dc.subject Nonlinear smoothing en
dc.subject LULU operators en
dc.subject Variation preservation en
dc.subject.lcsh Smoothing (Numerical analysis) en
dc.subject.lcsh Image processing en
dc.title LULU operators for functions of continuous argument en
dc.type Postprint Article en


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