An approach based on two-dimensional iterative nonlinear regression for retrieving phase information from single-frame interferograms was formulated and tested for fluid- and heat-flow measurements. Even though an initial crude phase assignment—i.e., fringe-order numbers at limited data points—is needed, the approach does not require complete phase unwrapping as in conventional techniques. Testing of computer-simulated and real interferometric data shows stable convergence and accurate phase extraction. The method works well under a high noise level, including broken fringes or contaminated regions, with a good noise-cleansing capacity. It provides accuracy at image- or opaque-object boundaries and directly offers spatial-gradient values. A weakness, however, can be intensive computation in the iterative estimation. The method is a good candidate for single-frame interferogram reduction.

© 1998 Optical Society of America

[Optical Society of America ]

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. 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

Related Journal Articles

• Phase reconstruction from undersampled intensity patterns (JOSAA)
• Phase calibration on interferometric graphs (JOSAA)
• Redundant spacing calibration: phase restoration methods (JOSAA)
• Phase unwrapping by means of genetic algorithms (JOSAA)
• Tomographic reconstruction of three-dimensional refractive index fields by use of a regularized phase-tracking technique and a polynomial approximation method (AO)

Related Conference Papers

• Joint Estimation of Amplitude and Phase from Phase-Diversity Data
• Lensless Coherent Imaging with Shaped Illumination and Phase-Retrieval Image Reconstruction
• Lensless Coherent Imaging with Shaped Illumination and Phase-Retrieval Image Reconstruction
• Post-Coronagraph Wavefront Sensing Using Pupil Imaging and Phase-Diversity
• Digital Holography by Ghost Imaging