A numerical algorithm for 2D wavefront reconstruction from intensity measurements in a single plane
Abstract
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 signaltonoise 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.
 Publication:

1980 International Optical Computing Conference I
 Pub Date:
 January 1980
 DOI:
 10.1117/12.958834
 Bibcode:
 1980SPIE..231...84F
 Keywords:

 Astronomical Photography;
 Fourier Transformation;
 Image Reconstruction;
 Interferometry;
 Optical Data Processing;
 Signal To Noise Ratios;
 Atmospheric Turbulence;
 Poisson Density Functions;
 RootMeanSquare Errors;
 Speckle Patterns;
 Star Distribution;
 Turbulence Effects;
 Instrumentation and Photography