Line spread function formulation proposed by W H Steel: a revision

Abstract

A revised formulation of the image light distribution of an incoherent line source proposed by Steel ͓Rev. Opt. 31, 334 -340 ͑1952͔͒ is presented. Analytical and numerical results based on this new representation are given. We explicitly show that a major error in Steel's final expression generates singularities, thereby preventing convenient numerical computation.

Improvement of Driver Night Vision in Foggy Environments by Structured Light Projection

“…7(a) and 8(a). The mean value of the target luminance is calculated from the luminance profile the ESF values (Edge Spread Function) [41] using the left section indicated in the graph, Figs. 7(b) and 8(b).…”

Edge image quality assessment: a new formulation for degraded edge imaging

“…(8) one needs to substitute the LSF for a more straightforward expression which can be easy to compute. A certain number of exact formulas and approximations are given in the literature [21,22] but we use here the expression recently proposed by us [23]:…”

“…(10) represents the ESF for blurred edges. The possible oscillations arising from the numerical behavior of the Bessel functions [24,25] are suppressed due to the optimized Bessel functions expansion used in the computation [23]. As an example, Fig.…”

Fast calculation of the line-spread-function by transversal directions decoupling

“…If the optical system still maintains a circular symmetry but the illumination in the object plane has a well-defined preferential axis, i.e. it has a line shape, the image of a line source should be considered (figure 1): this is the problem of calculating the so-called linespread-function (LSF), which is equivalent to the pointspread-function [11,12].…”