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Donatelli, Marco; Estatico, Claudio; Serra-Capizzano, Stefano

Boundary conditions and multiple-image re-blurring: The LBT case. (English) Zbl 1101.94005

J. Comput. Appl. Math. 198, No. 2, 426-442 (2007).
Summary: 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.

Cited in 1 Document

MSC:

94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
65F22 Ill-posedness and regularization problems in numerical linear algebra
65J10 Numerical solutions to equations with linear operators
65R10 Numerical methods for integral transforms
62H35 Image analysis in multivariate analysis
93E24 Least squares and related methods for stochastic control systems

Keywords:

boundary conditions; multiple-images deconvolution; regularizing iterative methods; matrix algebras and Toeplitz matrices

Software:

AIRY
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Full Text: DOI

References:

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