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

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.

MSC:

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