Publication:
Modulo 2π fringe orientation angle estimation by phase unwrapping with a regularized phase tracking algorithm

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2002-08
Authors
Servín Guirado, Manuel
Cuevas de la Rosa, Francisco Javier
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Optical Society of America
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
The fringe orientation angle provides useful information for many fringe-pattern-processing techniques. From a single normalized fringe pattern (background suppressed and modulation normalized), the fringe orientation angle can be obtained by computing the irradiance gradient and performing a further aretangent computation. Because of the 180° ambiguity of the fringe direction, the orientation angle computed from the gradient of a single fringe pattern can be determined only modulo pi. Recently, several studies have shown that a reliable determination of the fringe orientation angle modulo 2π is a key point for a robust demodulation of the phase from a single fringe pattern. We present an algorithm for the computation of the modulo 2π fringe orientation angle by unwrapping the orientation angle obtained from the gradient computation with a regularized phase tracking method. Simulated as well as experimental results are presented.
Description
© 2002 Optical Society of America. We are grateful for the financial support of this work given by the European Union under project INDUCE, Contract BRPR-CT97-0805, and by the National Council for Science and Technology (CONACYT), Mexico, under project PROSUVE, contract PR48/01-9858.
Keywords
Citation
1. T. Kreis, Holographic Interferometry (Akademie, Berlin, 1996). 2. N. Alcalá-Ochoa, J. L. Marroquín, and A. Dávila, ‘‘Phase recovery using a twin pulsed addition fringe pattern in ESPI’’, Opt. Commun. 163, 15–19 (1999). 3. J. A. Quiroga, J. A. Gómez-Pedrero, and A. García-Botella, “Algorithm for fringe pattern normalization’’, Opt. Commun. 197, 43–51 (2001). 4. X. Zhou, J. P. Baird, and J. F. Arnold, ‘‘Fringe-orientation estimation by use of a Gaussian gradient-filter and neighboring-direction averaging’’, Appl. Opt. 38, 795–804 (1999). 5. M. Servín, J. L. Marroquín, and F. J. Cuevas, ‘‘Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms’’, J. Opt. Soc. Am. A 18, 689–695 (2001). 6. J. L. Marroquín, R. Rodríguez-Vera, and M. Servín, ‘‘Local phase from local orientation by solution of a sequence of linear systems’’, J. Opt. Soc. Am. A 15, 1536–1544 (1998). 7. K. G. Larkin, D. J. Bone, and M. A. Oldfield, ‘‘Natural demodulation of two-dimensional fringe patterns. I. General background of the spiral phase quadrature transform’’, J. Opt. Soc. Am. A 18, 1862–1870 (2001). 8. R. N. Bracewell, The Fourier Transform and Its Applications, 2nd ed. (McGraw Hill, New York, 1978). 9. D. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping (Wiley, New York, 1998). 10. M. Servín, F. J. Cuevas, D. Malacara, J. L. Marroquín, and R. Rodríguez-Vera, ‘‘Phase unwrapping through demodulation by use of the regularized phase-tracking technique’’, Appl. Opt. 38, 1934–1941 (1999). 11. B. Ströbel, ‘‘Processing of interferometric phase maps as complex-valued phasor images’’, Appl. Opt. 35, 2192–2198 (1996).
Collections