Journal
SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 66, Issue 4, Pages 1383-1406Publisher
SIAM PUBLICATIONS
DOI: 10.1137/050624522
Keywords
image restoration; linear growth functionals; variable exponent; BV-space; Dirichlet boundary condition
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We study a functional with variable exponent, 1 <= p(x) = 2, which provides a model for image denoising, enhancement, and restoration. The diffusion resulting from the proposed model is a combination of total variation (TV)-based regularization and Gaussian smoothing. The existence, uniqueness, and long-time behavior of the proposed model are established. Experimental results illustrate the effectiveness of the model in image restoration.
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