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We have developed a regularisation procedure for the direct deprojection andPSF-deconvolution of X-ray surface brightness profiles of clusters of galaxies.This procedure allows us to obtain accurate density profiles in astraightforward manner from X-ray observations (in particular data fromXMM-Newton, where the PSF correction is important), while retaining informationabout substructure in the gas distribution, in contrast to analytic modellingof the profiles. In addition to describing our procedure, we present here adetailed investigation of the accuracy of the method and its error calculationsover a wide range of input profile characteristics and data quality using MonteCarlo simulations. We also make comparisons with gas density profiles obtainedfrom Chandra observations, where the PSF correction is small, and with profilesobtained using analytic modelling, which demonstrate that our procedure is auseful improvement over standard techniques. This type of method will beespecially valuable in the ongoing analysis of unbiased and complete samples ofX-ray clusters, both local and distant, helping to improve the quality of theirresults.

An improved deprojection and PSF-deconvolution technique for galaxy-cluster X-ray surface-brightness profiles