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A PDE variational approach to image denoising and restoration. (English) Zbl 1169.35341
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:
35K55 Nonlinear parabolic equations
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
35A15 Variational methods applied to PDEs
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