Image reconstruction from the bispectrum using an iterative algorithm and applications of the method to astronomical objects

Karl-Heinz Hofmann; Gerd Weigelt

doi:10.1117/12.34797

1 July 1990 Image reconstruction from the bispectrum using an iterative algorithm and applications of the method to astronomical objects

Karl-Heinz Hofmann, Gerd Weigelt

Author Affiliations +

Proceedings Volume 1319, Optics in Complex Systems; (1990) https://doi.org/10.1117/12.34797
Event: 15th International Optics in Complex Systems, 1990, Garmisch, Germany

Abstract

The atmosphere of the earth restricts the resolution of conventional astrophotography to " 1 arcsec. Much higher resolution can be obtained by interferometric speckle techniques. Bispectrum analysis'3 (also called speckle masking) of many speckle interferograms (short-exposure photographs; exposure time ,,o.o5 sec) yields diffraction-limited images with, for example, 0.02 arcsec resolution for a 5-rn telescope. After the first processing steps of speckle masking the object bispectrurn o()(u,v) is obtained up to the cut-off frequency of the telescope. From the object bispectrum a diffraction-limited image of the object can be reconstructed (a) by using the conventional recursive method2 (the Fourier phase of the object is extracted recursively from O()(u,v) ) or (b) by using an iterative image reconstruction algorithm presented in this paper. The iterative algorithm searches for the high-resolution image which has the best agreement with the measured object bispectrum.

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Karl-Heinz Hofmann and Gerd Weigelt "Image reconstruction from the bispectrum using an iterative algorithm and applications of the method to astronomical objects", Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.34797

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