Variable exponent, linear growth functionals in image restoration. (English) Zbl 1102.49010

Chen, Yunmei; Levine, Stacey; Rao, Murali

SIAM J. Appl. Math. 66, No. 4, 1383-1406 (2006).

The authors proposed a new model for image denoising, enhancement and restoration. The model uses various types of diffusion arising from minimization problem with variable exponent \( 1 \leq p(x) \leq 2 \). The existence, uniqueness and long-time behaviour of the proposed model are established. Reported experimental results approve the effectiveness of the new model in image restoration.

Reviewer: Wiesław Kotarski (Sosnowiec)

MSC:

49J45	Methods involving semicontinuity and convergence; relaxation
35K65	Degenerate parabolic equations
68U10	Computing methodologies for image processing

Keywords:

image restoration; Dirichlet boundary value problem; diffusion