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Adaptive total variation for image restoration in BV space. (English) Zbl 1020.68104
Summary: This paper is an investigation of the mathematical theory for the adaptive total variation regularization, a powerful technique in edge preserving, smoothing, and effectively applied to image restoration.

MSC:
49Q20 Variational problems in a geometric measure-theoretic setting
65J20 Numerical solutions of ill-posed problems in abstract spaces; regularization
68U10 Computing methodologies for image processing
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
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