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Inhaltsangabe
In this paper a regularized spectral estimation formula and a regularized iterative algorithm for band-limited extrapolation are presented. The ill-posedness of the problem is taken into account. First a Fredholm equation is regularized. Then it is transformed to a differential equation in the case where the time interval is {bf R}. A fast algorithm to solve the differential equation by the finite differences is given and a regularized spectral estimation formula is obtained. Then a regularized iterative extrapolation algorithm is introduced and compared with the Papoulis and Gerchberg algorithm. A time-frequency regularized extrapolation algorithm is presented in the two-dimensional case. The Gibbs phenomenon is analyzed. Then the time-frequency regularized extrapolation algorithm is applied to image restoration and compared with other algorithms.
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In this paper a regularized spectral estimation formula and a regularized iterative algorithm for band-limited extrapolation are presented. The ill-posedness of the problem is taken into account. First a Fredholm equation is regularized. Then it is transformed to a differential equation in the case where the time interval is {bf R}. A fast algorithm to solve the differential equation by the finite differences is given and a regularized spectral estimation formula is obtained. Then a regularized iterative extrapolation algorithm is introduced and compared with the Papoulis and Gerchberg algorithm. A time-frequency regularized extrapolation algorithm is presented in the two-dimensional case. The Gibbs phenomenon is analyzed. Then the time-frequency regularized extrapolation algorithm is applied to image restoration and compared with other algorithms.
Biografía del autor
Weidong Chen received the Master?s degree in software engineering from the Department of Computer and Information Science and the Ph.D. degree in mathematics from Kansas State University. Now he is teaching mathematics in the Department of Computer Science, Mathematics and Physics at Missouri Western State University, Saint Joseph, Missouri.
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BAND-LIMITED EXTRAPOLATION BY REGULARIZATION
Verlag:
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3843381607
ISBN 13: 9783843381604
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Softcover
Anbieter: moluna, Greven, Deutschland
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Zustand: New. Artikel-Nr. 5468009
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BAND-LIMITED EXTRAPOLATION BY REGULARIZATION
Verlag:
LAP LAMBERT Academic Publishing Dez 2010, 2010
ISBN 10: 3843381607
ISBN 13: 9783843381604
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. Neuware -In this paper a regularized spectral estimation formula and a regularized iterative algorithm for band-limited extrapolation are presented. The ill-posedness of the problem is taken into account. First a Fredholm equation is regularized. Then it is transformed to a differential equation in the case where the time interval is {bf R}. A fast algorithm to solve the differential equation by the finite differences is given and a regularized spectral estimation formula is obtained. Then a regularized iterative extrapolation algorithm is introduced and compared with the Papoulis and Gerchberg algorithm. A time-frequency regularized extrapolation algorithm is presented in the two-dimensional case. The Gibbs phenomenon is analyzed. Then the time-frequency regularized extrapolation algorithm is applied to image restoration and compared with other algorithms.Books on Demand GmbH, Überseering 33, 22297 Hamburg 72 pp. Englisch. Artikel-Nr. 9783843381604
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