LULU operators for functions of continuous argument

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