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Blind Restoration of Astronomical Images
Author

G. Spaletta
Organization: Bologna University
Department: Mathematics Dept
Revision date

2005-01-31
Description

This submission presents an astronomical use of Mathematica, that can be extended to more general image processing problems. The description and motivation of the image reconstruction problem are described in detail.

Image restoration is of considerable interest in numerous scientific applications.
When the image formation system is space invariant and linear, the blurred noise- free image can be expressed as the convolution of the original image with a blurring function: if the latter is known, then the Fast Fourier Transform can be used to efficiently compute convolutions.
The algorithm presented (which constitutes a variant of a method known in the literature) tries to remove the blur, using a priori constraints, without the knowledge of the blurring function.
This approach is often referred to as Blind Deconvolution and finds useful applications, in particular, in astronomical imaging, in which the atmosphere of the Earth and the instruments of observation constitute sources of distortion and aberration that cannot be quantified in advance.
Subjects

*Applied Mathematics > Visualization
*Science > Astronomy
Keywords

Image processing, Blind restoration, Fourier Transform, Astronomical Images.
URL

www.cs.unibo.it/~giulia
Downloads

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SpalettaMSjan05.tar.gz (1.3 MB) - GZIP archive
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SpalettaMSjan05.zip (1.3 MB) - ZIP archive