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Zbl 1169.35341
Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel
A PDE variational approach to image denoising and restoration. (English)
[J] Nonlinear Anal., Real World Appl. 10, No. 3, 1351-1361 (2009). ISSN 1468-1218

Summary: We discuss a general variational model for image restoration based on the minimization of a convex functional of gradient under minimal growth conditions. This approach is related to minimization in bounded variation norm and has a smoothing effect on degraded image while preserving the edge features.
MSC 2000:
*35K55 Nonlinear parabolic equations
94A08 Image processing
35A15 Variational methods (PDE)

Keywords: image restoration; convex functions; Sobolev space; nonlinear diffusion; minimal growth conditions

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