The information content of redshift and velocity surveys

The pixon-based image reconstruction of Puetter and Pi\~na has achieved significant improvements over other methods in higher spatial resolution, greater sensitivity to faint sources, and immunity to the production of spurious artifacts and signal-correlated residuals. The same technique may be used for those problems of large-scale structure which allow for variable smoothing. The comparison of different datasets is not impaired by the variable smoothing, because a common underlying density/potential field, whatever its smoothing, can be applied to all datasets. By making optimal use of the combined datasets, the pixon method could therefore yield the most sensitive determination of the cosmological density parameter, $\Omega$, from redshift and velocity surveys.