Application of multigrid techniques to image restoration problems

Raymond Hon-fu Chan; M. Donatelli; Stefano Serra-Capizzano; Cristina Tablino-Possio

doi:10.1117/12.452469

6 December 2002 Application of multigrid techniques to image restoration problems

Raymond Hon-fu Chan, M. Donatelli, Stefano Serra-Capizzano, Cristina Tablino-Possio

Proceedings Volume 4791, Advanced Signal Processing Algorithms, Architectures, and Implementations XII; (2002) https://doi.org/10.1117/12.452469
Event: International Symposium on Optical Science and Technology, 2002, Seattle, WA, United States

Abstract

We briefly describe a multigrid strategy for unilevel and two-level linear systems whose coefficient matrix A_n belongs either to the Toeplitz class or to the cosine algebra of type III and such that A_n can be naturally associated, in the spectral sense, with a polynomial function f. The interest of the technique is due to its optimal cost of O(N) arithmetic operations, where N is the size of the algebraic problem. We remark that these structures arise in certain 2D image restoration problems or can be used as preconditioners for more complicated image restoration problems.

Citation Download Citation

Raymond Hon-fu Chan, M. Donatelli, Stefano Serra-Capizzano, and Cristina Tablino-Possio "Application of multigrid techniques to image restoration problems", Proc. SPIE 4791, Advanced Signal Processing Algorithms, Architectures, and Implementations XII, (6 December 2002); https://doi.org/10.1117/12.452469

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