NDLI: Adaptive Inpainting Algorithm Based on DCT Induced Wavelet Regularization

Content Provider	IEEE Xplore Digital Library
Author	Yan-Ran Li Lixin Shen Suter, B.W.
Copyright Year	1992
Abstract	In this paper, we propose an image inpainting optimization model whose objective function is a smoothed ℓ¹ norm of the weighted nondecimated discrete cosine transform (DCT) coefficients of the underlying image. By identifying the objective function of the proposed model as a sum of a differentiable term and a nondifferentiable term, we present a basic algorithm inspired by Beck and Teboulle's recent work on the model. Based on this basic algorithm, we propose an automatic way to determine the weights involved in the model and update them in each iteration. The DCT as an orthogonal transform is used in various applications. We view the rows of a DCT matrix as the filters associated with a multiresolution analysis. Nondecimated wavelet transforms with these filters are explored in order to analyze the images to be inpainted. Our numerical experiments verify that under the proposed framework, the filters from a DCT matrix demonstrate promise for the task of image inpainting.
Sponsorship	IEEE Signal Processing Society
Page Count	12
File Size	1057749
Starting Page	752
Ending Page	763
File Format	PDF
ISSN	10577149
Volume Number	22
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Discrete cosine transforms Multiresolution analysis Optimization Vectors Adaptation models Minimization Moreau envelope $\ell^{1}$ minimization discrete cosine transform framelet inpainting
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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