Publication: Phase-unwrapping algorithm for noisy phase-map processing
Full text at PDC
Bernabeu Martínez, Eusebio
Advisors (or tutors)
The Optical Society of America
Automated fringe-pattern processing is important in a great number of industrial applications, such as optical data testing and quality control. One of the main problems that arises with these processes is the automated phase unwrapping of the phase map associated with the fringe pattern. Usually the phase map presents problems such as noise, and low-modulation areas. A new phase-unwrapping algorithm with high noise immunity is presented. The algorithm is easily implemented and can process arbitrary shapes. The main features of this algorithm are the use of a queue for the processing of arbitrary shapes and a selection criterion that determines which pixels are going to be processed.
© 1994 Optical Society of America. The authors thank H. Steinbichler and all the nice people at Steinbichler Optotechnik GmbH for their support and friendship and also for the image of Fig. 7. This work was partially supported by BRITE/ EURAM project 3599, BREU 0120-C, and MAT 91-1389-CE.
1. K. Creath, "Phase-measurement interferometry techniques”, Prog. Opt. 26, 349-393 (1988). 2. J. E. Greivenkamp, "Sub-Nyquist interferometry”, Appl. Opt. 26,5245-5258 (1987). 3. P. Andra, U. Mieth, and W. Osten, "Strategies for unwrapping noisy interferograms in phase sampling interferometry”, in Industrial Applications of Holographic and Speckle Measuring Techniques, W. P. Jueptner, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 1508, 50-72 (1991). 4. D. P. Towers, T. R. Judge, and P. J. Bryaston-Cross, "A quasi heterodyne technique and automatic algorithms for phase unwrapping”, in Fringe Pattern Analysis, G. T. Reid, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 1163, 95-119 (1989). 5. J. M. Huntley, "Noise-immune phase unwrapping algorithm”, Appl. Opt. 28, 3268-3270 (1989). 6. D. J. Bone, "Fourier fringe analysis, the two-dimensional phase unwrapping problem”, Appl. Opt. 30,3627-3632 (1991). 7. D. Ghiglia, G. A. Mastin, and L. A. Romero, "Cellularautomata method for phase unwrapping”, J. Opt. Soc. Am. A 4, 267-279 (1987). 8. J. M. Huntley, R. Cusack, H. Saldner, "New phase unwrapping algorithms”, in Proceedings FRINGE 93, W. JUptner and W. Osten, eds. (Akademie, Berlin, 1993), pp. 148-153. 9. K. Itoh, "Analysis of the phase-unwrapping algorithm”, Appl. Opt. 21, 2470-2476 (1982). 10. H. A. Vrooman and A. M. Maas, "Image processing algorithms for the analysis of phase-shifted speckle interference patterns”, Appl. Opt. 30, 1636-1641 (1991). 11. D. Dirksen, X. Su, D. Vukicevic and G. Von Bally, "Optimized phase shifting and use of fringe modulation function for high resolution phase evaluation”, in Proceedings FRINGE 93, W. JUptner and W. Osten, eds. (Akademie, Berlin 1993), pp. 72-77.