Physics – Optics
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phdt.........4s&link_type=abstract
Ph.D. Thesis British Columbia Univ., Vancouver. Dept. of Electrical Engineering.
Physics
Optics
Astronomical Photography, Cross Correlation, Image Reconstruction, Stellar Spectra, Atmospheric Optics, Fourier Transformation, Iteration
Scientific paper
The problem of object reconstruction from a series of short exposure astronomical data observed by ground-based telescopes is addressed. An approach using the self cross correlation is proposed and implemented. This is defined as the cross correlation between an image observation and a truncated part of it. The relation among the phase of the cross spectrum, the phase of the object, and the edges in the object are established. Based on these relations, some efficient and effective algorithms for retrieving the unknown phase of the object and its modulus are developed. These algorithms are found to be insensitive to noise. The phasor image (the inverse Fourier transform (FT) of the phasor part of the FT) of the self cross correlation is shown to preserve the edges of the unknown object. If all the stars and sub-objects in the object have edges, a phase retrieval method based on the iterative FT method is proposed. If some of those objects have edges, a non-iterative phase retrieval method is developed, and if none have edges, a modified version is used to retrieve the object phase. The approach can be extended to reconstruct an object under anisoplanatic atmospheric turbulence. A comparison of signal to noise ratios obtained using the proposed method and existing reconstruction methods demonstrates the superiority of the proposed method.
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