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Barbu, Tudor; Barbu, Viorel

A PDE approach to image restoration problem with observation on a meager domain. (English) Zbl 1239.94005

Nonlinear Anal., Real World Appl. 13, No. 3, 1206-1215 (2012).
Summary: We present here a new nonlinear PDE approach to image restoration (the inpainting problem) using a meager blurred image or a finite number of observation points. To this end, one uses a least square approach with the \(H^{-1}\) distributional metric. Some important theoretical and numerical results are provided.

Cited in 4 Documents

MSC:

94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
35Q94 PDEs in connection with information and communication

Keywords:

image restoration; PDE-based approach; inpainting techniques; Sobolev space; minimization problem; scale space model
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\textit{T. Barbu} and \textit{V. Barbu}, Nonlinear Anal., Real World Appl. 13, No. 3, 1206--1215 (2012; Zbl 1239.94005)
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