title: Computational imaging with the logarithmic asphere: theory.
abstract: A theory for an integrated system is described that combines a logarithmic aspheric imaging lens with maximum-entropy digital processing to extend the depth of field ten times over that of a conventional lens and to provide near-diffraction-limited resolution. Two types of logarithmic aspheres are derived that are circularly symmetric lenses with controlled continuous radial variation of focal length. The details of an iterative maximum-entropy algorithm are also presented. The properties of convergence and speed of the algorithm are greatly improved by introducing a metric parameter to adjust the weight of different pixel values of the recovered picture in each loop properly.
authors.affiliation: The Institute of Optics, University of Rochester, Rochester, New York 14627, USA. chiw@optics.rochester.edu
authors.forename: Wanli
authors.initials: W
authors.lastname: Chi
authors.forename: Nicholas
authors.initials: N
authors.lastname: George