Variable Exponent, Linear Growth Functionals in Image Restoration

RESUMEN referencia Normal referencia 2 7 2007-03-02T21: 12: 00Z 2007-03-02T21: 12: 00Z 1 70 390 UCLA 3 1 459 11. 6568 Clean Clean 21 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table. MsoNormalTable mso-style-name: "Tabla normal"; mso-tstyle-rowband-size: 0; mso-tstyle-colband-size: 0; mso-style-noshow: yes; mso-style-parent: ""; mso-padding-alt: 0cm 5. 4pt 0cm 5. 4pt; mso-para-margin: 0cm; mso-para-margin-bottom: . 0001pt; mso-pagination: widow-orphan; font-size: 10. 0pt; font-family: "Times New Roman"; mso-ansi-language: #0400; mso-fareast-language: #0400; mso-bidi-language: #0400; RESUMEN 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.