Abstract
The problem of estimating the centroid of an incoherently imaged
point with a CCD array is analyzed. An exact analysis is presented
that uses the actual short-exposure function at the CCD instead of the
traditional Gaussian approximation. The analysis shows that, for
Poisson noise, the centroid variance depends on the CCD size and that
truncation effects play a significant part in determining the optimum
CCD size. The effects of this on a wave-front reconstruction formed
by a Shack–Hartmann sensor are described.
© 1999 Optical Society of America
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