Algorithms for Toeplitz Matrices with Applications to Image Deblurring: Solving linear equations or linear least squares problems with low displacement rank using the Schur Algorithm - Symon Kimitei
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Saadetis 15-21 tööpäeva jooksul
30-päevane tagastamisõigus
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 reg ... Täielik kirjeldus
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Kirjeldus
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.
Lisateave
| Autor | Symon Kimitei |
|---|---|
| Kirjastaja | LAP LAMBERT Academic Publishing |
| Väljalaskeaasta | 2011 |
| Kaanetüüp | Pehme kaanega |
| EAN | 9783844314267 |