| Título: | Exact minimizer for the couple (L(infinity), BV) and the one-dimensional analogue of the Rudin-Osher-Fatemi model |
| Autores: | Cobos, Fernando ; Kruglyak, Natan |
| Tipo de documento: | texto impreso |
| Editorial: | Academic Press-Elsevier Science, 2011 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis matemático , Tipo = Artículo |
| Resumen: |
We provide a simple algorithm that constructs an exact minimizer for the E-functional E(t, f ; L?, BV) = inf ?g?L??t ? f ? g?BV . Here L?, BV 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 K(N, f ; BV, L?) v sup a?x0?···?xN?b ?N i=1 | f (xi ) ? f (xi+1)|. We also discussed the connection between the results and the Rudin–Osher–Fatemi denoising model. |
| En línea: | https://eprints.ucm.es/id/eprint/14900/1/02.pdf |
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