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Zbl 1239.94005
Barbu, Tudor; Barbu, Viorel
A PDE approach to image restoration problem with observation on a meager domain. (English)
[J] Nonlinear Anal., Real World Appl. 13, No. 3, 1206-1215 (2012). ISSN 1468-1218

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.
MSC 2000:
*94A08 Image processing
35Q94

Keywords: image restoration; PDE-based approach; inpainting techniques; Sobolev space; minimization problem; scale space model

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