RT Journal Article
T1 Exact minimizer for the couple (L∞, BV) and the one-dimensional analogue of the Rudin-Osher-Fatemi model
A1 Cobos Díaz, Fernando
A1 Kruglyak, Natan
AB 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.
PB Academic Press-Elsevier Science
SN 0021-9045
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/42122
UL https://hdl.handle.net/20.500.14352/42122
LA eng
NO Cobos Díaz, F. & Kruglyak, N. «Exact Minimizer for the Couple ( L ∞ , B V ) and the One-Dimensional Analogue of the Rudin–Osher–Fatemi Model». Journal of Approximation Theory, vol. 163, n.o 4, abril de 2011, pp. 481-90. DOI.org (Crossref), https://doi.org/10.1016/j.jat.2010.11.003.
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Universidad Complutense de Madrid/Banco de Santander
NO Instituto de Matemática Interdisciplinar de la Universidad Complutense de Madrid
DS Docta Complutense
RD 12 abr 2025