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An algorithm of Total Variation for Image Inpainting

Author(s): Shubhangi N. Ghate | Shilpa Achaliya | Smitha Raveendran

Journal: International Journal of Computer & Electronics Research
ISSN 2320-9348

Volume: 1;
Issue: 3;
Start page: 124;
Date: 2012;
Original page

Keywords: Inpainting | Total Variation | Pixel Domain

Inpainting, the technique of modifyingan image in an undetectable form, is as ancient asart itself. Inpainting is an image interpolationproblem with broad applications in image andvision analysis. Digital inpainting is related toautomatic filling-in of user-selected regions indigital images. It consider the problem of filling inmissing or damaged wavelet coefficients due tolossy image transmission or communication. Thetask is closely related to classical inpaintingproblems, but also remarkably differs in that theinpainting regions are in the wavelet domain. Newchallenges include that the resulting inpaintingregions in the pixel domain are usually not welldefined, as well as that degradation is often spatiallyinhomogeneous. An extensive survey of previouswork related to the digital inpainting is presented tofill in the gap and a new algorithm using avariational approach to formulate the reconstructionproblem which is motivated by the quality ofresults, easier implementation, efficiency, andeffectiveness is presented. The associatedEulerLagrange equations lead to nonlinear partialdifferential equations (PDE's) in the waveletdomain. Implemented method can be viewed as amethodforsolvingTotal-Variation(TV)minimization problems using fast optimizationtechnique which is very efficient calculate anoptimal solution for image inpainting in waveletdomain. The restored images obtained with thisalgorithm look plausible in general and surprisinglygood in some cases. In addition, it is also havingedge over other algorithms in terms of computationtime and image quality while filling-in large region.Smitha RaveendranDepartment of ElectronicsRAIT, NerulNavi Mumbaismitha2805@gmail.comisophote lines arriving at the regions boundaries arecompleted inside.
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