OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 24, Iss. 2 — Jan. 15, 1985
  • pp: 201–207

Maximum bounded entropy: application to tomographic reconstruction

B. Roy Frieden and Csaba K. Zoltani  »View Author Affiliations


Applied Optics, Vol. 24, Issue 2, pp. 201-207 (1985)
http://dx.doi.org/10.1364/AO.24.000201


View Full Text Article

Enhanced HTML    Acrobat PDF (1373 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A new restoring algorithm, maximum bounded entropy (MBE), has been investigated. It incorporates prior knowledge of both a lower and upper bound in the unknown object. Its outputs are maximum probable estimates of the object under the following conditions: (a) the photons forming the image behave as classical particles; (b) the object is assumed to be biased toward a flat gray scene in the absence of image data; (c) the object is modeled as consisting of high-gradient foreground details riding on top of a smoothly varying background that is not to be restored but rather must be estimated in a separate step; and (d) the image noise is Poisson. The resulting MBE estimator obeys the sum of maximum entropy for the occupied photon sites in the object and maximum entropy for the unoccupied sites. The result is an estimate of the object that obeys an analytic form that functionally cannot take on values outside the known bounds. The algorithm was applied to the problem of reconstructing rod cross sections due to tomographic viewing. This problem is ideal because the object consists only of upper- and lower-bound values. We found that only four projections are needed to provide a good reconstruction and that twenty projections allow for the resolution of a single pixel wide crack in one of the rods.

© 1985 Optical Society of America

History
Original Manuscript: May 3, 1984
Published: January 15, 1985

Citation
B. Roy Frieden and Csaba K. Zoltani, "Maximum bounded entropy: application to tomographic reconstruction," Appl. Opt. 24, 201-207 (1985)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-24-2-201

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