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