One-Dimensional Comparison Of Wiener Filtering And Richardson-Lucy Methods For Sectioned Restoration Of Space-Variant Digital Images

One-dimensional sections of digital images with space-variant blurs from an uncorrected optical system are restored using Wiener filtering and the Richardson-Lucy method. The simulated blur is from a single-lens optical system configured at moderate focal-length-to-aperture ratio (f#) and near-infinite conjugate. The sections are taken over a range of field-angle displacements from on-axis to approximately 15-deg off-axis. The results identify a range of field angles over which Wiener filtering is useful for sectioned restoration of blurred images from an optical system with significant point-spread-function space-variance. The results also establish a field angle range over which an iterative restoration method such as Richardson-Lucy would be necessary to accommodate point-spread-function space-variance.