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Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems

p. 166-180

Abstract

Image restoration is a typical ill-posed problem. Regularization technic represented by a regularized MP-Inverse filter (RMPIF) is widely used to deal with the ill-posedness. In order to derive the best performance of the filter, the parameter, which controls the regularizability, should be appropriately chosen.

In this paper, we present a new criterion for parameter choosing based on modifying the subspace information criterion which is first proposed for model selection of supervised learning problems. Some numerical examples are also shown to verify the efficacy of the proposed criterion.

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References

Bibliographical reference

Akira Tanaka, Hideyuki Imai and Masaaki Miyakoshi, « Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems », CASYS, 12 | 2002, 166-180.

Electronic reference

Akira Tanaka, Hideyuki Imai and Masaaki Miyakoshi, « Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems », CASYS [Online], 12 | 2002, Online since 16 July 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=1713

Authors

Akira Tanaka

Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University, Kita 13, Nishi 8, Kita-ku, Sapporo,060-8628, Japan.

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Hideyuki Imai

Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University, Kita 13, Nishi 8, Kita-ku, Sapporo,060-8628, Japan.

Masaaki Miyakoshi

Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University, Kita 13, Nishi 8, Kita-ku, Sapporo,060-8628, Japan.

By this author

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CC BY-SA 4.0 Deed