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Barbu, Tudor; Barbu, Viorel; Biga, Veronica; Coca, Daniel

A PDE variational approach to image denoising and restoration. (English) Zbl 1169.35341

Nonlinear Anal., Real World Appl. 10, No. 3, 1351-1361 (2009).
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.

Cited in 26 Documents

MSC:

35K55 Nonlinear parabolic equations
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
35A15 Variational methods applied to PDEs

Keywords:

image restoration; convex functions; Sobolev space; nonlinear diffusion; minimal growth conditions
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\textit{T. Barbu} et al., Nonlinear Anal., Real World Appl. 10, No. 3, 1351--1361 (2009; Zbl 1169.35341)
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