Abstract

A classical problem in image processing consists in determining the translation from one noisy image to a reference image. For the astronomical application that this chapter considers, the image detector is fastened to a shuttle whose motion blurs the observed images. To preserve the quality of this image, the exposure time of the detector is very small, and as a consequence, very few photons can be present in each observation. All the observed images Sp are matched and added together in order to built a final image r. At low photon levels, the observed image Sp is mainly corrupted by the discrete nature of the photon which is described by a Poisson statistics. The chapter considers the problem of matching astronomical images with a very low photon level. It also analyzes the performances of the optimal technique when the noise of the moved images is no longer Gaussian, and the classical linear intercorrelation method fails.

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