Singular-value decomposition for through-focus imaging systems

Anna Burvall, Harrison H Barrett, Christopher Dainty, Kyle J. Myers

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Singular-value decomposition (SVD) of a linear imaging system gives information on the null and measurement components of object and image and provides a method for object reconstruction from image data. We apply SVD to through-focus imaging systems that produce several two-dimensional images of a three-dimensional object. Analytical expressions for the singular functions are derived in the geometrical approximation for a telecentric, laterally shift-invariant system linear in intensity. The modes are evaluated numerically, and their accuracy confirmed. Similarly, the modes are derived and evaluated for a continuous image representing the limit of a large number of image planes.

Original languageEnglish (US)
Pages (from-to)2440-2448
Number of pages9
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume23
Issue number10
DOIs
StatePublished - 2006

Fingerprint

Three-Dimensional Imaging
Singular value decomposition
Imaging systems
Computer-Assisted Image Processing
Information Systems

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Computer Vision and Pattern Recognition

Cite this

Singular-value decomposition for through-focus imaging systems. / Burvall, Anna; Barrett, Harrison H; Dainty, Christopher; Myers, Kyle J.

In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 23, No. 10, 2006, p. 2440-2448.

Research output: Contribution to journalArticle

@article{58ddc853e7ad4a57a41de4b0d13a27b1,
title = "Singular-value decomposition for through-focus imaging systems",
abstract = "Singular-value decomposition (SVD) of a linear imaging system gives information on the null and measurement components of object and image and provides a method for object reconstruction from image data. We apply SVD to through-focus imaging systems that produce several two-dimensional images of a three-dimensional object. Analytical expressions for the singular functions are derived in the geometrical approximation for a telecentric, laterally shift-invariant system linear in intensity. The modes are evaluated numerically, and their accuracy confirmed. Similarly, the modes are derived and evaluated for a continuous image representing the limit of a large number of image planes.",
author = "Anna Burvall and Barrett, {Harrison H} and Christopher Dainty and Myers, {Kyle J.}",
year = "2006",
doi = "10.1364/JOSAA.23.002440",
language = "English (US)",
volume = "23",
pages = "2440--2448",
journal = "Journal of the Optical Society of America A: Optics and Image Science, and Vision",
issn = "1084-7529",
publisher = "The Optical Society",
number = "10",

}

TY - JOUR

T1 - Singular-value decomposition for through-focus imaging systems

AU - Burvall, Anna

AU - Barrett, Harrison H

AU - Dainty, Christopher

AU - Myers, Kyle J.

PY - 2006

Y1 - 2006

N2 - Singular-value decomposition (SVD) of a linear imaging system gives information on the null and measurement components of object and image and provides a method for object reconstruction from image data. We apply SVD to through-focus imaging systems that produce several two-dimensional images of a three-dimensional object. Analytical expressions for the singular functions are derived in the geometrical approximation for a telecentric, laterally shift-invariant system linear in intensity. The modes are evaluated numerically, and their accuracy confirmed. Similarly, the modes are derived and evaluated for a continuous image representing the limit of a large number of image planes.

AB - Singular-value decomposition (SVD) of a linear imaging system gives information on the null and measurement components of object and image and provides a method for object reconstruction from image data. We apply SVD to through-focus imaging systems that produce several two-dimensional images of a three-dimensional object. Analytical expressions for the singular functions are derived in the geometrical approximation for a telecentric, laterally shift-invariant system linear in intensity. The modes are evaluated numerically, and their accuracy confirmed. Similarly, the modes are derived and evaluated for a continuous image representing the limit of a large number of image planes.

UR - http://www.scopus.com/inward/record.url?scp=33751245556&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751245556&partnerID=8YFLogxK

U2 - 10.1364/JOSAA.23.002440

DO - 10.1364/JOSAA.23.002440

M3 - Article

C2 - 16985529

AN - SCOPUS:33751245556

VL - 23

SP - 2440

EP - 2448

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 - 10

ER -