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This paper introduces a multiscale maximum entropy (MSME) algorithm for imagerestoration of the Hard X-ray Modulation Telescope (HXMT), which is acollimated scan X-ray satellite mainly devoted to a sensitive all-sky surveyand pointed observation in 1-250 keV. The novelty of the MSME method is to usewavelet decomposition and multiresolution support to control noiseamplification in the different scales. And our work is focused on theapplication and modification of this method to restore diffuse sources detectedby HXMT scanning observation. And an improved method, ensemble multiscalemaximum entropy (EMSME) algorithm, is proposed to alleviate the problem of modemixing exiting in MSME. Simulation have been performed on the detection of thediffuse source Cen A by HXMT in the all-sky survey mode. The results show thatthe MSME method is adapted to the deconvolution task of HXMT for diffuse sourcedetection and the improved method could suppress noise and improve thecorrelation and signal-to-noise ratio, thus proving itself a better algorithmfor image restoration. Through one all-sky survey, HXMT could reach a capacityof detecting a diffuse source with maximum differential flux of 0.5 mCrab.

Application of a multiscale maximum entropy image restoration algorithm to HXMT observations