Finite-length line-spread function

W. J. Dallas, R. E. Wagner, H. Roehrig, C. N. West, H. H. Barrett

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In this paper we derive a formula for calculating the point-spread function (PSF) of a rotationally symmetric imaging system from measurements along a line through the image of an arbitrary separable input object. An important special case of this formula is when the input object is a finite-length slit. The set of measurements in this case is called the finite-length line-spread function (FLSF). The FLSF differs from the infinite-length line-spread function (LSF) only in the assumed finite length of the line that is input into the system. This difference between the FLSF and the LSF becomes important for imaging systems for which the PSF is large in extent and in which the isoplanatic patch is relatively small. The usual LSF-to-PSF conversion formulas cannot be applied accurately to such systems.

Original languageEnglish (US)
Pages (from-to)2039-2044
Number of pages6
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number11
StatePublished - Nov 1 1987
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition


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