Abstract

A new approach to Bayesian reconstruction is proposed that endows the prior probability distribution with an inherent geometrical flexibility, which is achieved through a transformation of the coordinate system of the prior distribution or model into that of the reconstruction. With this warping, prior morphological information regarding the object that is being reconstructed may be adapted to various degrees to match the available measurements. The extent of warping is readily controlled through the prior probability distributions that are specified for the warp parameters. The complete reconstruction consists of a warped version of the prior model plus an estimated deviation from the warped model. Examples of tomographic reconstructions demonstrate the power of this approach.

© 1993 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Measurement-based meshing, basis selection, and prior assignment in chemical species tomography

Samuel J. Grauer, Paul J. Hadwin, Timothy A. Sipkens, and Kyle J. Daun
Opt. Express 25(21) 25135-25148 (2017)

Three-dimensional Bioluminescence Tomography based on Bayesian Approach

Jinchao Feng, Kebin Jia, Chenghu Qin, Guorui Yan, Shouping Zhu, Xing Zhang, Junting Liu, and Jie Tian
Opt. Express 17(19) 16834-16848 (2009)

Optical diffusion tomography by iterative-coordinate-descent optimization in a Bayesian framework

Jong Chul Ye, Kevin J. Webb, Charles A. Bouman, and R. P. Millane
J. Opt. Soc. Am. A 16(10) 2400-2412 (1999)

References

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
Login to access OSA Member Subscription

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 OSA member, or as an authorized user of your institution.

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

Figures (5)

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
Login to access OSA Member Subscription

Equations (22)

You do not have subscription access to this journal. Equations 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
Login to access OSA Member Subscription

Metrics

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
Login to access OSA Member Subscription