OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 8, Iss. 5 — Jun. 6, 2013

Bounding pixels in computational imaging

Keith Dillon and Yeshaiahu Fainman  »View Author Affiliations


Applied Optics, Vol. 52, Issue 10, pp. D55-D63 (2013)
http://dx.doi.org/10.1364/AO.52.000D55


View Full Text Article

Enhanced HTML    Acrobat PDF (803 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We consider computational imaging problems where we have an insufficient number of measurements to uniquely reconstruct the object, resulting in an ill-posed inverse problem. Rather than deal with this via the usual regularization approach, which presumes additional information which may be incorrect, we seek bounds on the pixel values of the reconstructed image. Formulating the inverse problem as an optimization problem, we find conditions for which a system’s measurements can produce a bounded result for both the linear case and the non-negative case (e.g., intensity imaging). We also consider the problem of selecting measurements to yield the most bounded results. Finally we simulate examples of the application of bounded estimation to different two-dimensional multiview systems.

© 2013 Optical Society of America

OCIS Codes
(110.1758) Imaging systems : Computational imaging
(110.6955) Imaging systems : Tomographic imaging

History
Original Manuscript: November 1, 2012
Revised Manuscript: February 25, 2013
Manuscript Accepted: March 7, 2013
Published: March 22, 2013

Virtual Issues
Vol. 8, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Keith Dillon and Yeshaiahu Fainman, "Bounding pixels in computational imaging," Appl. Opt. 52, D55-D63 (2013)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=ao-52-10-D55

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

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

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

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

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

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

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited