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Algorithms for Toeplitz Matrices with Applications to Image Deblurring

Algorithms for Toeplitz Matrices with Applications to Image Deblurring

von Symon Kimitei
Softcover - 9783844314267
49,00 €
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Beschreibung

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.

Solving linear equations or linear least squares problems with low displacement rank using the Schur Algorithm

Details

Verlag LAP LAMBERT Academic Publishing
Ersterscheinung März 2011
Maße 22 cm x 15 cm x 0.6 cm
Gewicht 143 Gramm
Format Softcover
ISBN-13 9783844314267
Seiten 84