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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, Sped Via Via Fft Symon Kimitei
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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, Sped Via Via Fft
Symon Kimitei
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.
| Mídia | Livros Paperback Book (Livro de capa flexível e brochura) |
| Lançado | 1 de março de 2011 |
| ISBN13 | 9783844314267 |
| Editoras | LAP LAMBERT Academic Publishing |
| Páginas | 84 |
| Dimensões | 226 × 5 × 150 mm · 143 g |
| Idioma | Alemão |