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Regularization and Smoothing for the Restoration of Hubble
Space
Telescope Images
P. Benvenuti
ST-ECF, Karl-Schwarzschild-Str. 2, D-85748 Garching, Germany
F. Maggio
CRS4, Via N. Sauro 10, I-09123 Cagliari, Italy
S. Seatzu
Dipartimento di Matematica, Universitá di Cagliari, Via Merello 92,
I-09123 Cagliari, Italy
Abstract:
Two numerical methods for the restoration of noisy images from the Hubble
Space Telescope are presented. The first one stems from a B-spline expansion
followed by the Tikhonov regularization method.
The second one is based on a coarse smoothing
coupled with the Tikhonov regularization. The effectiveness of these methods
is illustrated by the restoration of some images already proposed in the
literature.
Keywords:
Regularization, sampling theorem, multiresolution analysis