| Band-Limited Extrapolation by Regularization Contributor(s): Chen, Weidong (Author) |
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ISBN: 3843381607 ISBN-13: 9783843381604 Publisher: LAP Lambert Academic Publishing OUR PRICE: $50.27 Product Type: Paperback Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Reference |
| Physical Information: 0.17" H x 6" W x 9" (0.26 lbs) 72 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |