Super-resolving image restoration in Karhunen-Loeve basis

Vitalij N. Kurashov; Alexandr G. Chumakov; Alexandr V. Kisil; Andry V. Kovalenko

doi:10.1117/12.188062

30 September 1994 Super-resolving image restoration in Karhunen-Loeve basis

Vitalij N. Kurashov, Alexandr G. Chumakov, Alexandr V. Kisil, Andry V. Kovalenko

Proceedings Volume 2302, Image Reconstruction and Restoration; (1994) https://doi.org/10.1117/12.188062
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

For superresolving image restoration it is suggested to use unsymmetrical matrix representation of image system's pulse response function in Karhunen-Loeve basis. Basic functions of such representation are defined by Karhunen-Loeve decomposition of object and image ensembles. Finite dimensional projection of initial and distorted images on their Karhunen-Loeve bases decreases the order of inverse problem matrix, minimizes noise and ensures stable superresolved restoration of large dimension images under high noise level, when application of traditional superresolving procedures is impossible.

Citation Download Citation

Vitalij N. Kurashov, Alexandr G. Chumakov, Alexandr V. Kisil, and Andry V. Kovalenko "Super-resolving image restoration in Karhunen-Loeve basis", Proc. SPIE 2302, Image Reconstruction and Restoration, (30 September 1994); https://doi.org/10.1117/12.188062

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