Boundary conditions and multiple-image re-blurring: the LBT case

Authors:
Marco Donatelli;Claudio Estatico;Stefano Serra-Capizzano
Affiliations:
Dipartimento di Fisica e Matematica, Università dell'Insubria - Sede di Como, Como, Italy;Dipartimento di Matematica, Università di Genova, Genova, Italy;Dipartimento di Fisica e Matematica, Università dell'Insubria - Sede di Como, Como, Italy
Venue:
Journal of Computational and Applied Mathematics - Special issue: Applied computational inverse problems
Year:
2007

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Abstract

In this paper we are concerned with deblurring problems in the case of multiple images coming from the Large Binocular Telescope (an important example of telescope of interferometric type). For this problem, we are interested in checking the role of the boundary conditions in the quality of the reconstructed image. In particular, we will consider reflective and anti-reflective boundary conditions and the re-blurring idea. The results of the proposed combinations are quite satisfactory when compared with classical Dirichlet or periodic boundary conditions, especially when increasing the number of images acquired by the LBT. This behavior is confirmed by a wide numerical experimentation.