PIECEWISE LINEAR APPROXIMATION OF THE CONTINUOUS RUDIN--OSHER--FATEMI MODEL FOR IMAGE DENOISING.

Autor: MING-JUN LAI, MESSI, LEOPOLD MATAMBA
Předmět:
Zdroj: SIAM Journal on Numerical Analysis; 2012, Vol. 50 Issue 5, p2446-2466, 21p
Abstrakt: This paper is concerned with the numerical approximation of the minimizer of the continuous Rudin--Osher--Fatemi (ROF) model for image denoising. A new discrete total variation is proposed and the associated Hilbertian total variation denoising model is used to construct continuous piecewise linear functions that approximate the minimizer of the ROF model in the strong topology of L2(Ω), provided that the data function is bounded and weakly regular in the sense of Lip(α, L² (Ω)). [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index