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Windowed phase unwrapping using a first-order dynamic system following iso-phase contours

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2012-11-12
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The Optical Society Of America
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In this work, we show a windowed phase-unwrapping technique that uses a first-order dynamic system and scans the phase following its iso-phase contours. In previous works, we have shown that low-pass first-order dynamic systems are very robust and useful in phase-unwrapping problems. However, it is well known that all phase-unwrapping methods have a minimum signal-to-noise ratio that they tolerate. This paper shows that scanning the phase within local windows and using a path following strategy, the first-order unwrapping method increases its tolerance to noise. In this way, using the improved approach, we can unwrap phase maps where the basic dynamic phase-unwrapping system fails. Tests and results are given, as well as the source code in order to show the performance of the proposed method.
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© 2012 Optical Society of America.
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1. D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing (Taylor & Francis, 2005). 2. M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982). 3. M. Servín, J. C. Estrada, and J. A. Quiroga, “The general theory of phase shifting algorithms,” Opt. Express 17, 21867–21881 (2009). 4. K. Itoh, “Analysis of the phase unwrapping algorithm,” Appl. Opt. 21, 2470 (1982). 5. W. W. Macy, “Two-dimensional fringe-pattern analysis,” Appl. Opt. 22, 3898–3901 (1983). 6. R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988). 7. T. J. Flynn, “Two-dimensional phase unwrapping with minimum weighted discontinuity,” J. Opt. Soc. Am. A 14, 2692–2701 (1997). 8. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping; Theory, Algorithms, and Software (Wiley-Interscience, 1998). 9. D. C. Ghiglia and L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods,” J. Opt. Soc. Am. A 11, 107–117 (1994). 10. J. L. Marroquín, M. Tapia, R. Rodríguez-Vera, and M. Servín, “Parallel algorithms for phase unwrapping based on Markov random field models,” J. Opt. Soc. Am. A 12, 2578–2585 (1995). 11. J. L. Marroquín and M. Rivera, “Quadratic regularization functionals for phase unwrapping,” J. Opt. Soc. Am. A 12, 2393–2400 (1995). 12. J. C. Estrada, M. Servín, and J. A. Quiroga, “Noise robust linear dynamic system for phase unwrapping and smoothing,” Opt. Express 19, 5126–5133 (2011). 13. M. A. Navarro, J. C. Estrada, M. Servín, J. A. Quiroga, and J. Vargas, “Fast two-dimensional simultaneous phase unwrapping and low-pass filtering,” Opt. Express 20, 2556–2561 (2012). 14. J. C. Estrada, M. Servín, and J. Vargas, “2D simultaneous phase unwrapping and filtering: A review and comparison,” Opt. Lasers Eng. 50, 1026–1029 (2012). 15. B. Strobel, “Processing of interferometric phase maps as complex-valued phasor images,” Appl. Opt. 35, 2192–2198 (1996). 16. J. C. Estrada, “Phase unwrapping software,” http://goo.gl/RW2nQ. 17. J. R. Buckland, J. M. Huntley, and S. R. E. Turner, “Unwrapping noisy phase maps by use of a minimum-cost-matching algorithm,” Appl. Opt. 34, 5100–5108 (1995). 18. K. A. Stenson and W. R. Brohinsky, “Electro-optic holography system for vibration analysis and nondestructive testing,” Opt. Eng. 26, 1234–1239 (1987). 19. P. Hariharan, B. F. Oreb, and C. H. Freund, “Stroboscopic holographic interferometry: measurements of vector components of vibration,” Appl. Opt. 26, 3899–3903 (1987). 20. M. Servín, J. L. Marroquín, D. Malacara, and F. J. Cuevas, “Phase unwrapping with a regularized phase-tracking system,” Appl. Opt. 37, 1917–1923 (1998). 21. 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). 22. J. C. Estrada, M. Servín, J. L. Marroquín, and J. L. Marroquín, “Local adaptable quadrature filters to demodulate single fringe patterns with closed fringes,” Opt. Express 15, 2288–2298 (2007).
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