OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 31 — Nov. 1, 1998
  • pp: 7253–7258

Phase-shifting interferometry and maximum-likelihood estimation theory. II. A generalized solution

Eric W. Rogala and Harrison H. Barrett  »View Author Affiliations


Applied Optics, Vol. 37, Issue 31, pp. 7253-7258 (1998)
http://dx.doi.org/10.1364/AO.37.007253


View Full Text Article

Enhanced HTML    Acrobat PDF (98 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A novel means of quantitatively assessing the performance of a phase-shifting interferometer is further investigated. We show how maximum-likelihood estimation theory can be used to estimate the surface profile from the general case of M noisy, phase-shifted measurements. Monte Carlo experiments show that the maximum-likelihood estimator is unbiased and efficient, achieving the theoretical Cramér–Rao lower bound on the variance of the error. We then use Monte Carlo experiments to compare the performance of the maximum-likelihood estimator with that of two conventional algorithms.

© 1998 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(100.2650) Image processing : Fringe analysis
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.3180) Instrumentation, measurement, and metrology : Interferometry

History
Original Manuscript: February 5, 1998
Revised Manuscript: July 8, 1998
Published: November 1, 1998

Citation
Eric W. Rogala and Harrison H. Barrett, "Phase-shifting interferometry and maximum-likelihood estimation theory. II. A generalized solution," Appl. Opt. 37, 7253-7258 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-31-7253

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