A priori information in image reconstruction

A. Yagola; B. Artamonov; V. Belokurov; E. Koptelova; M. Sazhin; E. Shimanovskaya

doi:10.1016/B978-008044268-6/50054-5

A priori information in image reconstruction

A. Yagola, B. Artamonov, V. Belokurov, E. Koptelova, M. Sazhin, E. Shimanovskaya

Graduate Institute of Astronomy

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

This chapter focuses on several modifications of Tikhonov's regularization algorithm and applies it to solve the problem of image reconstruction for close quadruple gravitational lens systems. Different assumptions concerning a priori information about the unknown solution are considered for reconstructing images of gravitational lens QSO 2237+0305 (Einstein Cross). To construct the algorithms several function sets and theoretical model of light distribution in background galaxy were used. In all cases the acceptable chi square value is obtained. Numerical results presented reveal that incorporation of all available priori information leads to encouraging results in the image restoration.

Original language	English
Title of host publication	Inverse Problems in Engineering Mechanics IV
Publisher	Elsevier Ltd
Pages	477-483
Number of pages	7
ISBN (Print)	9780080442686
DOIs	https://doi.org/10.1016/B978-008044268-6/50054-5
State	Published - Nov 2003

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abstract = "This chapter focuses on several modifications of Tikhonov's regularization algorithm and applies it to solve the problem of image reconstruction for close quadruple gravitational lens systems. Different assumptions concerning a priori information about the unknown solution are considered for reconstructing images of gravitational lens QSO 2237+0305 (Einstein Cross). To construct the algorithms several function sets and theoretical model of light distribution in background galaxy were used. In all cases the acceptable chi square value is obtained. Numerical results presented reveal that incorporation of all available priori information leads to encouraging results in the image restoration.",

author = "A. Yagola and B. Artamonov and V. Belokurov and E. Koptelova and M. Sazhin and E. Shimanovskaya",

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AU - Yagola, A.

AU - Artamonov, B.

AU - Belokurov, V.

AU - Koptelova, E.

AU - Sazhin, M.

AU - Shimanovskaya, E.

N1 - Funding Information: This research is supported by grants RFBR 02-01-00044, and 01-02-16800.

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N2 - This chapter focuses on several modifications of Tikhonov's regularization algorithm and applies it to solve the problem of image reconstruction for close quadruple gravitational lens systems. Different assumptions concerning a priori information about the unknown solution are considered for reconstructing images of gravitational lens QSO 2237+0305 (Einstein Cross). To construct the algorithms several function sets and theoretical model of light distribution in background galaxy were used. In all cases the acceptable chi square value is obtained. Numerical results presented reveal that incorporation of all available priori information leads to encouraging results in the image restoration.

AB - This chapter focuses on several modifications of Tikhonov's regularization algorithm and applies it to solve the problem of image reconstruction for close quadruple gravitational lens systems. Different assumptions concerning a priori information about the unknown solution are considered for reconstructing images of gravitational lens QSO 2237+0305 (Einstein Cross). To construct the algorithms several function sets and theoretical model of light distribution in background galaxy were used. In all cases the acceptable chi square value is obtained. Numerical results presented reveal that incorporation of all available priori information leads to encouraging results in the image restoration.

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BT - Inverse Problems in Engineering Mechanics IV

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A priori information in image reconstruction

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