  A speedy pixon algorithm for image reconstruction is described. Two
applications of the method to simulated astronomical data sets are also
reported. In one case, galaxy clusters are extracted from multiwavelength
microwave sky maps using the spectral dependence of the Sunyaev-Zel'dovich
effect to distinguish them from the microwave background fluctuations and the
instrumental noise. The second example involves the recovery of a sharply
peaked emission profile, such as might be produced by a galaxy cluster observed
in X-rays. These simulations show the ability of the technique both to detect
sources in low signal-to-noise data and to deconvolve a telescope beam in order
to recover the internal structure of a source.
