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Singular-value decomposition for through-focus imaging systems
National university of Ireland, Galway. (Applied Optics)ORCID iD: 0000-0003-3804-0561
University of Arizona. (College of Optical Sciences)
National University of Ireland, Galway. (Applied Optics)
U.S. Food and Drug Administration Laboratory for the Assessment of Medical Imaging Systems. (National Institute for Biomedical Imaging and Bioengineering)
2006 (English)In: Optics Express, ISSN 1094-4087, E-ISSN 1094-4087, Vol. 23, no 10, 2440-2448 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Optical Society of America , 2006. Vol. 23, no 10, 2440-2448 p.
Keyword [en]
image processing, inverse problems, three-dimensional image processing
National Category
Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:kth:diva-61627DOI: 10.1364/JOSAA.23.002440ISI: 000240858500008OAI: oai:DiVA.org:kth-61627DiVA: diva2:479452
Note
QC 20120119Available from: 2012-01-17 Created: 2012-01-17 Last updated: 2017-12-08Bibliographically approved

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Burvall, Anna

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