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Optical Engineering • Open Access

Optical transfer functions, weighting functions, and metrics for images with two-dimensional line-of-sight motion
Author(s): Mark E Pittelkau; William G. McKinley

Paper Abstract

We define the displacement, smear, and jitter components of image motion and derive the two-dimensional statistical image motion optical transfer function (OTF) corresponding to each component. These statistical OTFs are parameterized by means and covariances, which are computed most conveniently from a weighted power spectrum of the line-of-sight motion. Another feature of these results is the realization that all temporal and spatial frequencies contribute to each statistical OTF and that one can determine the frequencies that contribute most significantly to each OTF. Additionally, optical system design is typically based upon the properties of an individual image. In a comprehensive optical system design, the statistical properties of an ensemble of images should also be considered. For individual images subject to a constant but possibly unknown smear length, the OTF is a sinc function. This is called a deterministic smear OTF because it does not describe the smear statistically. The statistical smear OTF describes the average smear OTF for an ensemble of images.

Paper Details

Date Published: 17 June 2016
PDF: 17 pages
Opt. Eng. 55(6) 063108 doi: 10.1117/1.OE.55.6.063108
Published in: Optical Engineering Volume 55, Issue 6
Show Author Affiliations
Mark E Pittelkau, Aerospace Control Systems, LLC. (United States)
William G. McKinley, Harris Corporation (United States)

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