It has been recently demonstrated that one of the most important applications of Confocal Scanning Laser Microscopy (CSLM) is fluorescence microscopy. In this paper we discuss the application to this case of a general method suggested by two of the authors (M.B. and E.R.P.) for improving resolution. The method requires that the full image is recorded by means of a suitable array of detectors and that a linear integral equation is solved for determining the object at each step of the scanning procedure. We investigate several integral equations related to 1D, 2D and 3D imaging.