Singular-value decomposition for through-focus imaging systems
2006 (English)In: Optics Express, ISSN 1094-4087, Vol. 23, no 10, 2440-2448 p.Article in journal (Refereed) Published
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.
image processing, inverse problems, three-dimensional image processing
Atom and Molecular Physics and Optics
IdentifiersURN: urn:nbn:se:kth:diva-61627DOI: 10.1364/JOSAA.23.002440ISI: 000240858500008OAI: oai:DiVA.org:kth-61627DiVA: diva2:479452
QC 201201192012-01-172012-01-172012-01-19Bibliographically approved