Please use this identifier to cite or link to this item:
|Title:||A fast optimization transfer algorithm for image inpainting in wavelet domains|
|Source:||Chan, R.H., Wen, Y.-W., Yip, A.M. (2009). A fast optimization transfer algorithm for image inpainting in wavelet domains. IEEE Transactions on Image Processing 18 (7) : 1467-1476. ScholarBank@NUS Repository. https://doi.org/10.1109/TIP.2009.2019806|
|Abstract:||A wavelet inpainting problem refers to the problem of filling in missing wavelet coefficients in an image. A variational approach was used by Chan et al. The resulting functional was minimized by the gradient descent method. In this paper, we use an optimization transfer technique which involves replacing their univariate functional by a bivariate functional by adding an auxiliary variable. Our bivariate functional can be minimized easily by alternating minimization: for the auxiliary variable, the minimum has a closed form solution, and for the original variable, the minimization problem can be formulated as a classical total variation (TV) denoising problem and, hence, can be solved efficiently using a dual formulation. We show that our bivariate functional is equivalent to the original univariate functional. We also show that our alternating minimization is convergent. Numerical results show that the proposed algorithm is very efficient and outperforms that of Chan et al. © 2009 IEEE.|
|Source Title:||IEEE Transactions on Image Processing|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 28, 2018
WEB OF SCIENCETM
checked on Mar 5, 2018
checked on Apr 21, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.