IMAGE-RESTORATION WITH NOISE SUPPRESSION USING A MULTIRESOLUTION SUPPORT

In Starck and Murtagh, 1994 (SM94), it was shown how noise suppression could be built into widely-used image restoration methods, such as th e Richardson-Lucy method. Arising from this work, two issues are resol ved in the present paper. Firstly SM94 suppressed noise, based on the supposition that the input image could be considered as a realization of a Gaussian distribution. In this paper, noise suppression using a m odel based on Poisson noise and additive Gaussian read-out noise is de scribed. Secondly, SM94 found problems in regard to photometric accura cy when suppressing noise. A novel multiresolution method is described here which avoids this problem. The new version of the algorithm is a pplied to simulated images of point sources and an elliptical galaxy. In both cases the results obtained are compared to the ''truth'' image s, i.e. the unblurred, noise-free images from which the degraded input images were constructed.