|
|
Frequency selection in absolute phase maps recovery with two frequency projection fringes |
Optics Express, Vol. 20, Issue 12, pp. 13238-13251 (2012)
http://dx.doi.org/10.1364/OE.20.013238
Enhanced HTML
Acrobat PDF (1921 KB)
Abstract
In a recent published work we proposed a technique to recover the absolute phase maps of two fringe patterns with different spatial frequencies. It is demonstrated that a number of selected frequency pairs can be used for the proposed approach, but the published work did not provide a guideline for frequency selection. In addition, the performance of the proposed technique in terms of its anti-noise capability is not addressed. In this paper, the rules for selecting the two frequencies are presented based on theoretical analysis of the proposed technique. Also, when the two frequencies are given, the anti-noise capability of technique is formulated and evaluated. These theoretical conclusions are verified by experimental results.
© 2012 OSA
OCIS Codes
(100.2650) Image processing : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(100.5088) Image processing : Phase unwrapping
ToC Category:
Image Processing
History
Original Manuscript: March 12, 2012
Revised Manuscript: May 3, 2012
Manuscript Accepted: May 14, 2012
Published: May 29, 2012
Citation
Yi Ding, Jiangtao Xi, Yanguang Yu, Wenqing Cheng, Shu Wang, and Joe F. Chicharo, "Frequency selection in absolute phase maps recovery with two frequency projection fringes," Opt. Express 20, 13238-13251 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-12-13238
Sort: Year | Journal | Reset
References
- S. Zhang, X. Li, and S. T. Yau, “Multilevel quality-guided phase unwrapping algorithm for real-time three-dimensional shape reconstruction,” Appl. Opt.46(1), 50–57 (2007). [CrossRef] [PubMed]
- J. M. Huntley and H. O. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt.32(17), 3047–3052 (1993). [CrossRef] [PubMed]
- H. Zhao, W. Chen, and Y. Tan, “Phase-unwrapping algorithm for the measurement of three-dimensional object shapes,” Appl. Opt.33(20), 4497–4500 (1994). [CrossRef] [PubMed]
- H. J. Chen, J. Zhang, D. J. Lv, and J. Fang, “3-D shape measurement by composite pattern projection and hybrid processing,” Opt. Express15(19), 12318–12330 (2007). [CrossRef] [PubMed]
- J. L. Li, H. J. Su, and X. Y. Su, “Two-frequency grating used in phase-measuring profilometry,” Appl. Opt.36(1), 277–280 (1997). [CrossRef] [PubMed]
- J. Li, L. G. Hassebrook, and C. Guan, “Optimized two-frequency phase-measuring-profilometry light-sensor temporal-noise sensitivity,” J. Opt. Soc. Am. A20(1), 106–115 (2003). [CrossRef] [PubMed]
- K. Liu, Y. Wang, D. L. Lau, Q. Hao, and L. G. Hassebrook, “Dual-frequency pattern scheme for high-speed 3-D shape measurement,” Opt. Express18(5), 5229–5244 (2010). [CrossRef] [PubMed]
- S. Zhang, “Phase unwrapping error reduction framework for a multiple-wavelength phase-shifting algorithm,” Opt. Eng.48(10), 105601 (2009). [CrossRef] [PubMed]
- J. M. Huntley and H. O. Saldner, “Error-reduction methods for shape measurement by temporal phase unwrapping,” J. Opt. Soc. Am. A14(12), 3188–3196 (1997). [CrossRef]
- H. O. Saldner and J. M. Huntley, “Temporal phase unwrapping: application to surface profiling of discontinuous objects,” Appl. Opt.36(13), 2770–2775 (1997). [CrossRef] [PubMed]
- S. Zhang, “Digital multiple-wavelength phase-shifting algorithm,” Proc. SPIE7432, 74320N, 74320N-11 (2009). [CrossRef]
- C. E. Towers, D. P. Towers, and J. D. C. Jones, “Absolute fringe order calculation using optimisied multi-frequency selection in full-filed profilometry,” Opt. Lasers Eng.43(7), 788–800 (2005). [CrossRef]
- J. C. Wyant, “Testing aspherics using two-wavelength holography,” Appl. Opt.10(9), 2113–2118 (1971). [CrossRef] [PubMed]
- C. Polhemus, “Two-wavelength interferometry,” Appl. Opt.12(9), 2071–2074 (1973). [CrossRef] [PubMed]
- Y.-Y. Cheng and J. C. Wyant, “Two-wavelength phase shifting interferometry,” Appl. Opt.23(24), 4539–4543 (1984). [CrossRef] [PubMed]
- K. Creath, “Step height measurement using two-wavelength phase-shifting interferometry,” Appl. Opt.26(14), 2810–2816 (1987). [CrossRef] [PubMed]
- K. Houairi and F. Cassaing, “Two-wavelength interferometry: extended range and accurate optical path difference analytical estimator,” J. Opt. Soc. Am. A26(12), 2503–2511 (2009). [CrossRef] [PubMed]
- Y. Ding, J. Xi, Y. Yu, and J. Chicharo, “Recovering the absolute phase maps of two fringe patterns with selected frequencies,” Opt. Lett.36(13), 2518–2520 (2011). [CrossRef] [PubMed]
- K. Liu, Y. Wang, D. L. Lau, Q. Hao, and L. G. Hassebrook, “Gamma model and its analysis for phase measuring profilometry,” J. Opt. Soc. Am. A27(3), 553–562 (2010). [CrossRef] [PubMed]
- Y. Wang, K. Liu, Q. Hao, X. Wang, D. L. Lau, and L. G. Hassebrook, “Robust active stereo vision using Kullback-Leibler divergence,” IEEE Trans. Pattern Anal. Mach. Intell.34(3), 548–563 (2012). [CrossRef] [PubMed]
Cited By |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.





OSA is a member of 