Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Second-order robust regularization cost function for detecting and reconstructing phase discontinuities

Not Accessible

Your library or personal account may give you access

Abstract

We propose a robust method for computing discontinuous phase maps from a fringe pattern with carrier frequency. Our algorithm is based on the minimization of an edge-preserving regularized cost function, specifically, on a robust regularized potential that uses a paradigm called the plate with adaptive rest condition, i.e., a second-order edge-preserving potential. Given that the proposed cost function is not convex, our method uses as its initial point an overly smoothed phase computed with a standard fringe analysis method and then reconstructs the phase discontinuities. Although the method is general purpose, it is introduced in the context of interferometric gauge-block calibration. The performance of the algorithm is demonstrated by numerical experiments with both synthetic and real data.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Total variation regularization cost function for demodulating phase discontinuities

Ricardo Legarda-Saenz, Carlos Brito-Loeza, and Arturo Espinosa-Romero
Appl. Opt. 53(11) 2297-2301 (2014)

Half-quadratic cost function for computing arbitrary phase shifts and phase: Adaptive out of step phase shifting

Mariano Rivera, Rocky Bizuet, Amalia Martinez, and Juan A. Rayas
Opt. Express 14(8) 3204-3213 (2006)

Robust phase demodulation of interferograms with open or closed fringes

Mariano Rivera
J. Opt. Soc. Am. A 22(6) 1170-1175 (2005)

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

Contact your librarian or system administrator
or
Login to access Optica 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 Optica member, or as an authorized user of your institution.

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

Tables (1)

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

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

Equations (18)

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

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved