LULU operators for functions of continuous argument
| dc.contributor.author | Anguelov, Roumen | |
| dc.contributor.author | Rohwer, Carl (Carl H.) | |
| dc.contributor.email | roumen.anguelov@up.ac.za | en_US |
| 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 |