Abstract
This work involves two-stage approaches to enhancing the quality of images taken through the atmosphere. First, a matrix control problem arising in adaptive-optics is discussed. The problem involves optimal real-time control of very fast-acting deformable mirrors designed to compensate for atmospheric turbulence and other image degradation factors, such as wind-induced telescope vibration (windshake). The surface shapes of the mirrors must change rapidly to correct for time-varying optical distortions. The second stage of compensating for the effects of atmospheric turbulence generally occurs off-line, and consists of the post-processing step of image restoration. Here, the work involves large-scale computations, using either a simultaneous image of a natural guide star or a large ensemble of images corresponding to different atmospheric realizations, to deconvolve the blurring effects of atmospheric turbulence.
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© 1997 Springer-Verlag Berlin Heidelberg
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Plemmons, R.J. (1997). Numerical Linear Algebra in Optical Imaging. In: Cucker, F., Shub, M. (eds) Foundations of Computational Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60539-0_28
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DOI: https://doi.org/10.1007/978-3-642-60539-0_28
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