Please use this identifier to cite or link to this item:
Title: Simultaneously inpainting in image and transformed domains
Authors: Cai, J.-F. 
Chan, R.H.
Shen, L.
Shen, Z. 
Issue Date: Jun-2009
Source: Cai, J.-F., Chan, R.H., Shen, L., Shen, Z. (2009-06). Simultaneously inpainting in image and transformed domains. Numerische Mathematik 112 (4) : 509-533. ScholarBank@NUS Repository.
Abstract: In this paper, we focus on the restoration of images that have incomplete data in either the image domain or the transformed domain or in both. The transform used can be any orthonormal or tight frame transforms such as orthonormal wavelets, tight framelets, the discrete Fourier transform, the Gabor transform, the discrete cosine transform, and the discrete local cosine transform. We propose an iterative algorithm that can restore the incomplete data in both domains simultaneously. We prove the convergence of the algorithm and derive the optimal properties of its limit. The algorithm generalizes, unifies, and simplifies the inpainting algorithm in image domains given in Cai et al. (Appl Comput Harmon Anal 24:131-149, 2008) and the inpainting algorithms in the transformed domains given in Cai et al. (SIAM J Sci Comput 30(3):1205-1227, 2008), Chan et al. (SIAM J Sci Comput 24:1408-1432, 2003; Appl Comput Harmon Anal 17:91-115, 2004). Finally, applications of the new algorithm to super-resolution image reconstruction with different zooms are presented. © 2009 Springer-Verlag.
Source Title: Numerische Mathematik
ISSN: 0029599X
DOI: 10.1007/s00211-009-0222-x
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Mar 5, 2018


checked on Mar 5, 2018

Page view(s)

checked on Feb 25, 2018

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.