Physics – Optics
Scientific paper
Oct 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aipc..860....3b&link_type=abstract
INFORMATION OPTICS: 5th International Workshop on Information Optics (WIO'06). AIP Conference Proceedings, Volume 860, pp. 3-14
Physics
Optics
Image Reconstruction, Tomography
Scientific paper
Image deconvolution is a powerful tool for improving the quality of images corrupted by blurring and noise. However, in some cases, the imaging system is affected by anisotropic resolution, i. e. the resolution depends on the direction in the imaging plane or volume. Such a distortion cannot be corrected by image deconvolution. One example, from Astronomy, is the Large Binocular Telescope (LBT) under construction on the top of Mount Graham (Arizona). A second example, from Microscopy, is the confocal microscope. In both cases, the situation can be improved if different images of the same target can be detected by rotating the instrument or by rotating the target. Then the problem arises of obtaining a unique high-resolution image from different images taken at different orientation angles. Such a problem is called multiple-image deconvolution.
In this paper, after a brief illustration of the two examples mentioned above, the problem of multiple-image deconvolution is formulated and preliminarily investigated in a continuous setting (all directions are available), showing that, while resolution is anisotropic in the multiple images, it becomes isotropic in the reconstructed image. Next, methods and algorithms for the solution of the problem are presented and their accuracy illustrated by means of the results of a few numerical experiments. Finally, the possibility of a further improvement of resolution by means of super-resolving methods is briefly discussed and demonstrated.
Bertero Mario
Boccacci Patrizia
Desiderá Gabriele
Vicidomini G.
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