A new iterative/recursive image deconvolution technique for HST images

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Scientific paper

Image restoration results are presented using a new image deconvolution technique applied to Hubble Space Telescope (HST) images. This technique is a modification of a classic iterative deconvolution method in which an image portraying an object degraded by blurring is restored as follows: an initial guess is made of what the true object might be. If this guess is correct, then blurring it with the PSF produces the observed image. If the guess is wrong, it can be corrected by modifying the guess by the difference between the observed image and the blurred guess. The classic method is very sensitive to noise in the image or error in the PSF, and convergence is very slow. Our modifications improve the speed of convergence and decrease noise sensitivity by using recursive restoration of higher-order image derivatives to guide restoration of lower order derivatives. We have used this algorithm to restore ``test'' HST images generated with theoretical PSFs calculated using the Tiny Tim software written by John Krist. The resulting images are restored to point-like sources. However the real advantage of our new technique is that since there are no nonlinearities involved in the algorithm, there are no intensity artifacts in the resulting images, and more importantly, image flux is conserved. This means that unlike other deconvolution techniques, our algorithm allows accurate stellar photometry to be performed on the restored images. In our ``test'' images, the intensity of our point sources (stars) was conserved to within a factor of 1% ( ~ 2.5% in the presence of simulated white noise). To demonstrate the accuracy of photometry performed on the deconvolved images, we present a color-magnitude diagram of a small sample of stars in the globular cluster NGC 6293 using data obtained with the HST in September, 1991.

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