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Exact minimizer for the couple (L-infinity, BV) and the one-dimensional analogue of the Rudin-Osher-Fatemi model
University Complutense Madrid.
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
2011 (English)In: JOURNAL OF APPROXIMATION THEORY, ISSN 0021-9045, Vol. 163, no 4, 481-490 p.Article in journal (Refereed) Published
Abstract [en]

We provide a simple algorithm that constructs an exact minimizer for the E-functional [GRAPHICS] Here L-infinity. B V stand for the space of bounded functions and the space of functions with bounded variation on the interval [a, b], respectively. As a corollary we obtain the following formula for the K-functional [GRAPHICS] We also discussed the connection between the results and the Rudin-Osher-Fatemi denoising model.

Place, publisher, year, edition, pages
ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA , 2011. Vol. 163, no 4, 481-490 p.
Keyword [en]
Exact minimizer, E-functional, K-functional, Rudin-Osher-Fatemi model
National Category
URN: urn:nbn:se:liu:diva-67717DOI: 10.1016/j.jat.2010.11.003ISI: 000289019700004OAI: diva2:412591
Available from: 2011-04-26 Created: 2011-04-26 Last updated: 2011-04-26

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Kruglyak, Natan
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Department of MathematicsThe Institute of Technology

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