Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry

Optics and Lasers in Engineering

Volumn 48, Issue 2, 2010, Pages 141-148

  Huang, Lei ^a   Kemao, Qian ^b   Pan, Bing ^a   Asundi, Anand Krishna ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Fourier transform; Fringe pattern processing; Optical profilometry; Phase extraction; Wavelet transform; Windowed Fourier transform

Indexed keywords

D-ALGORITHM; FRINGE PATTERN; FRINGE PATTERN PROCESSING; FRINGE PROJECTION PROFILOMETRY; MULTIPLE IMAGE; NON-SINUSOIDAL WAVEFORMS; OPTICAL PROFILOMETRY; PHASE COMPENSATION; PHASE EXTRACTION; PHASE-SHIFTING; PROCESSING METHOD; PROJECTED FRINGE; SURFACE SHAPE MEASUREMENTS; TRANSFORM METHODS; WINDOWED FOURIER TRANSFORM; WINDOWED FOURIER TRANSFORMS;

MATHEMATICAL TRANSFORMATIONS; PROCESSING; PROFILOMETRY; THREE DIMENSIONAL; TWO DIMENSIONAL; WAVELET TRANSFORMS;

FOURIER TRANSFORMS;

EID: 70449535654     PISSN: 01438166     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.optlaseng.2009.04.003     Document Type: Article

References (23)

1. Zeng L., Matsumoto H., and Kawachi K. Two-directional scanning method for reducing the shadow effects in laser triangulation. Measurement Science and Technology 8 (1997) 262-266
2. Anderson B.L. Stereovision: beyond disparity computations. Trends in Cognitive Sciences 2 (1998) 214-222
3. Takeda M., and Mutoh K. Fourier transform profilometry for the automatic measurement of 3-D object shapes. Applied Optics 22 (1983) 3977-3982
4. Srinivasan V., Liu H.C., and Halioua M. Automated phase-measuring profilometry of 3-D diffuse objects. Applied Optics 23 (1984) 3105-3108
5. Surrel Y. Design of algorithms for phase measurements by the use of phase stepping. Applied Optics 35 (1996) 51-60
6. Bone D.J., Bachor H.A., and Sandeman R.J. Fringe-pattern analysis using a 2-D Fourier transform. Applied Optics 25 (1986) 1653-1660
7. Su X., and Chen W. Fourier transform profilometry: a review. Optics and Lasers in Engineering 35 (2001) 263-284
8. Kemao Q. Windowed Fourier transform for fringe pattern analysis. Applied Optics 43 (2004) 2695-2702
9. Zhong J., and Weng J. Dilating Gabor transform for the fringe analysis of 3-D shape measurement. Optical Engineering 43 (2004) 895-899
10. Kemao Q. Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations. Optics and Lasers in Engineering 45 (2007) 304-317
11. Sandoz P. Wavelet transform as a processing tool in white-light interferometry. Optics Letters 22 (1997) 1065-1067
12. Zhong J., and Weng J. Spatial carrier-fringe pattern analysis by means of wavelet transform: Wavelet transform profilometry. Applied Optics 43 (2004) 4993-4998
13. Zhong J., and Weng J. Phase retrieval of optical fringe patterns from the ridge of a wavelet transform. Optics Letters 30 (2005) 2560-2562
14. Wang Z., and Ma H. Advanced continuous wavelet transform algorithm for digital interferogram analysis and processing. Optical Engineering 45 (2006) 045601
15. Zhang Q., and Su X. High-speed optical measurement for the drumhead vibration. Optics Express 13 (2005) 3110-3116
16. Li S., Chen W., and Su X. Reliability-guided phase unwrapping in wavelet-transform profilometry. Applied Optics 47 (2008) 3369-3377
17. Lin J.-F., and Su X. Two-dimensional Fourier transform profilometry for the automatic measurement of three-dimensional object shapes. Optical Engineering 34 (1995) 3297-3302
18. Zhang Q., Su X., Cao Y., et al. Optical 3-D shape and deformation measurement of rotating blades using stroboscopic structured illumination. Optical Engineering 44 (2005) 113601-113607
19. Kemao Q., Wang H., and Gao W. Windowed Fourier transform for fringe pattern analysis: theoretical analyses. Applied Optics 47 (2008) 5408-5419
20. Kemao Q., Gao W., and Wang H. Windowed Fourier-filtered and quality-guided phase-unwrapping algorithm. Applied Optics 47 (2008) 5420-5428
21. Hongwei G., Haitao H., and Mingyi C. Gamma correction for digital fringe projection profilometry. Applied Optics 43 (2004) 2906-2914
22. Zhang S., and Yau S.-T. Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector. Applied Optics 46 (2007) 36-43
23. Pan B., Kemao Q., Huang L., et al. Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry. Optics Letters 34 (2009) 416-418