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.
authors.affiliation: Applied Optics, Department of Experimental Physics, National University of Ireland, Galway. anna.burvall@nuigalway.ie
authors.forename: Anna
authors.initials: A
authors.lastname: Burvall
authors.forename: Harrison H
authors.initials: HH
authors.lastname: Barrett
authors.forename: Christopher
authors.initials: C
authors.lastname: Dainty
authors.forename: Kyle J
authors.initials: KJ
authors.lastname: Myers