PDE based inpainting algorithms: performance evaluation of the Cahn-Hillard model

Alberto De Santis () and Roberto Castorrini ()
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Alberto De Santis: Department of Computer, Control and Management Engineering Antonio Ruberti (DIAG), University of Rome La Sapienza, Rome, Italy
Roberto Castorrini: Department of Computer, Control and Management Engineering Antonio Ruberti (DIAG), University of Rome La Sapienza, Rome, Italy

No 2016-03, DIAG Technical Reports from Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza"

Abstract: Image inpainting consists in restoring a missing or a damaged part of an image on the basis of the signal information in the pixels surrounding the missing domain. To this aim a suitable image model is needed to represent the signal features to be reproduced within the inpainting domain, also depending on the size of the missing area. With no claim of completeness, in this paper the main streamline of the development of the PDE based models is retraced. Then, the Cahn-Hillard model for binary images is analyzed in detail and its performances are evaluated on some numerical experiments.

Keywords: Image inpainting; image processing; functional convexity splitting; unconditionally stable numerical scheme (search for similar items in EconPapers)
Date: 2016
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