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http://dx.doi.org/10.14403/jcms.2012.25.2.367

A FAST LAGRANGE METHOD FOR LARGE-SCALE IMAGE RESTORATION PROBLEMS WITH REFLECTIVE BOUNDARY CONDITION  

Oh, SeYoung (Department of Mathematics Chungnam National University)
Kwon, SunJoo (Innovation Center of Engineering Education Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.25, no.2, 2012 , pp. 367-377 More about this Journal
Abstract
The goal of the image restoration is to find a good approximation of the original image for the degraded image, the blurring matrix, and the statistics of the noise vector given. Fast truncated Lagrange (FTL) method has been proposed by G. Landi as a image restoration method for large-scale ill-conditioned BTTB linear systems([3]). We implemented FTL method for the image restoration problem with reflective boundary condition which gives better reconstructions of the unknown, the true image.
Keywords
fast truncated Lagrange method, image restoration; reflective boundary condition; constrained linear least-square problems; discrete cosine transformation;
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