Articles liés à Algorithms for Toeplitz Matrices with Applications...

Algorithms for Toeplitz Matrices with Applications to Image Deblurring - Couverture souple

Kimitei, Symon

 
9783844314267: Algorithms for Toeplitz Matrices with Applications to Image Deblurring

Synopsis

In this thesis, we present the O(n log^2 n) superfast linear least squares Schur algorithm(ssschur). The algorithm we describe illustrates a fast way of solving linear equations or linear least squares problems with low displacement rank. This algorithm is based on the O(n^2) Schur algorithm, sped up via FFT. The algorithm solves an ill-conditioned Toeplitz-like system using Tikhonov regularization. The regularized system solved is Toeplitz-like and is of displacement rank, 4. In this thesis, we also show the effect of the choice of the regularization parameter on the quality of the images reconstructed.

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À propos de l'auteur

Instrucor of Mathematics, Kennesaw State University, 2008 - Present. Instructor of Mathematics, Georgia State University, 2007-2008. Msc. Mathematics, Georgia State University, 2008. Bsc. Mathematics, Kennesaw State University, 1999. Bsc. Computer Science, Kennesaw State University, 1998.

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