Variable Exponent, Linear Growth Functionals in Image Restoration

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 l...

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Bibliographic Details
Published inSIAM journal on applied mathematics Vol. 66; no. 4; pp. 1383 - 1406
Main Authors Chen, Yunmei, Stacey Levine, Rao, Murali
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.01.2006
Subjects
Applied mathematics
Bacterial vaginosis
Experimental results
Illustration
Image processing
Image reconstruction
Mathematical constants
Mathematical growth
Mathematics
Noise
Radar
Uniqueness
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:0036-1399
1095-712X
DOI:10.1137/050624522