Statistics
Scientific paper
Jan 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980spie..231...84f&link_type=abstract
In: 1980 International Optical Computing Conference, Washington, DC, April 8-11, 1980, Proceedings. Book 1. (A81-37755 17-35) Be
Statistics
1
Astronomical Photography, Fourier Transformation, Image Reconstruction, Interferometry, Optical Data Processing, Signal To Noise Ratios, Atmospheric Turbulence, Poisson Density Functions, Root-Mean-Square Errors, Speckle Patterns, Star Distribution, Turbulence Effects
Scientific paper
Computer experiments were performed to determine the effects of photon noise on reconstructing images from stellar speckle interferometer data. Estimates of the modulus of the Fourier transform of an extended space object were computed using the method of Labeyrie on degraded images simulated to include the effects of atmospheric turbulence and photon noise (Poisson statistics). Several Fourier modulus estimates with different signal-to-noise ratios were computed by assuming different brightness levels (photons per pixel) for the object in each case. Images were reconstructed from the Fourier modulus estimates using an iterative method based on the nonnegativity of the object. It was found that the rms error of a reconstructed image is roughly equal to the square root of the rms error of the Fourier modulus estimate.
Feldkamp G. B.
Fienup James R.
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