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We present a method for adaptively smoothing an astronomical image. The method surpasses the previous algorithms in that the present method takes the spatial variations in the exposure intoaccount. The method adjusts the smoothing scale such that, at every position in the image, theresulting smoothed image has a signal-to-noise ratio above a prescribed critical value. We applied our new method to data from FIMS (Far-ultraviolet IMaging Spectrograph; also known as SPEAR),the main payload of the ¯rst Korean scienti¯c satellite \STSAT-1." The negative signal problem often encountered in photon-counting experiments after subtracting the background rate from an estimate of the signal plus background rate, which is also commonly found in FIMS data, is avoidedby adopting the correct estimate of the source signal rate based on Bayesian probability theory.


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