Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Chromotomography for a rotating-prism instrument using backprojection, then filtering

Not Accessible

Your library or personal account may give you access

Abstract

A simple closed-form solution is derived for reconstructing a 3D spatial-chromatic image cube from a set of chromatically dispersed 2D image frames. The algorithm is tailored for a particular instrument in which the dispersion element is a matching set of mechanically rotated direct vision prisms positioned between a lens and a focal plane array. By using a linear operator formalism to derive the Tikhonov-regularized pseudoinverse operator, it is found that the unique minimum-norm solution is obtained by applying the adjoint operator, followed by 1D filtering with respect to the chromatic variable. Thus the filtering and backprojection (adjoint) steps are applied in reverse order relative to an existing method. Computational efficiency is provided by use of the fast Fourier transform in the filtering step.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Cone-beam reconstruction by backprojection and filtering

Andrei V. Bronnikov
J. Opt. Soc. Am. A 17(11) 1993-2000 (2000)

Comparison between an image reconstruction method of filtering backprojection and the filtered backprojection method

Shigehito Suzuki and Shigeatsu Yamaguchi
Appl. Opt. 27(14) 2867-2870 (1988)

Image reconstruction for thin observation module by bound optics by using the iterative backprojection method

Kouichi Nitta, Rui Shogenji, Shigehiro Miyatake, and Jun Tanida
Appl. Opt. 45(13) 2893-2900 (2006)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (1)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (17)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved