### Abstract

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 language | English (US) |
---|---|

Pages (from-to) | 2039-2044 |

Number of pages | 6 |

Journal | Journal of the Optical Society of America. A, Optics and image science |

Volume | 4 |

Issue number | 11 |

State | Published - Nov 1987 |

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### ASJC Scopus subject areas

- Medicine(all)

### Cite this

*Journal of the Optical Society of America. A, Optics and image science*,

*4*(11), 2039-2044.

**Finite-length line-spread function.** / Dallas, W. J.; Barrett, H. H.; Wagner, R. E.; Roehrig, H.; Barrett, Harrison H.

Research output: Contribution to journal › Article

*Journal of the Optical Society of America. A, Optics and image science*, vol. 4, no. 11, pp. 2039-2044.

}

TY - JOUR

T1 - Finite-length line-spread function.

AU - Dallas, W. J.

AU - Barrett, H. H.

AU - Wagner, R. E.

AU - Roehrig, H.

AU - Barrett, Harrison H

PY - 1987/11

Y1 - 1987/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0023443902&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023443902&partnerID=8YFLogxK

M3 - Article

VL - 4

SP - 2039

EP - 2044

JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision

JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision

SN - 1084-7529

IS - 11

ER -