Phase-shifting interferometry with genetic algorithmbased twin image noise elimination

Applied Optics

Volumn 47, Issue 22, 2008, Pages 4068-4076

  Hahn, Joonku ^a   Kim, Hwi ^a   Cho, Seong Woo ^a   Lee, Byoungho ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ERRORS; GENETIC ALGORITHMS; IMAGE PROCESSING; IMAGE RECONSTRUCTION; INTERFEROMETRY;

INTERFEROGRAMS; PHASE SHIFTING INTERFEROMETRY; PHASE-SHIFTING ERRORS; RECONSTRUCTED IMAGE; TWIN-IMAGE; ZERNIKE POLYNOMIAL EXPANSION;

PHASE SHIFT;

ALGORITHM; ARTICLE; ARTIFACT; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; IMAGE ENHANCEMENT; INTERFEROMETRY; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; ARTIFACTS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; INTERFEROMETRY; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 53749103528     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.47.004068     Document Type: Article

References (23)

1. K. Creath, "Temporal phase measurement methods," in Interferogram Analysis, Digital Fringe Pattern Measurement Techniques, D. W. Robinson and G. T. Reid, eds. (Taylor & Francis, 1993), pp. 94-140.
2. I. Yamaguchi, "Phase-shifting digital holography," in Digital Holography and Three-Dimensional Display, T.-C. Poon, ed. (Springer, 2006), pp. 145-171.
3. B. Y. Zel'dovich, A. V. Mamaev, and V. V. Shkunov, Speckle Wave Interactions in Application to Holography and Nonlinear Optics (CRC Press, 1995).
4. J. Hahn, H. Kim, and B. Lee, "Optical implementation of iterative fractional Fourier transform algorithm," Opt. Express 14, 11103-11112 (2006).
5. L. Waller and G. Barbastathis, "Error analysis of phase-shifting for phase and amplitude tomographic reconstruction," in Signal Recovery and Synthesis, Technical Digest Series (OSA 2007), paper CTuB5.
6. G. Lai and T. Yatagai, "Generalized phase-shifting interferometry," J. Opt. Soc. Am. A 8, 822-827 (1991).
7. J. Schmit and K. Creath, "Extended averaging technique for derivation of error-compensating algorithms in phase-shifting interferometry," Appl. Opt. 34, 3610-3619 (1995).
8. G.-S. Han and S.-W. Kim, "Numerical correction of reference phases in phase-shifting interferometry by iterative least-squares fitting," Appl. Opt. 33, 7321-7325 (1994).
9. X. Chen, M. Gramaglia, and J. A. Yeazell, "Phase-shifting interferometry with uncalibrated phase shifts," Appl. Opt. 39, 585-591 (2000).
10. A. Patil, R. Langoju, and P. Rastogi, "An integral approach to phase shifting interferometry using a super-resolution frequency estimation method," Opt. Express 12, 4681-4697 (2004).
11. L.-Z. Cai, Q. Liu, Y-R. Wang, X.-F. Meng, and M.-Z. He, "Experimental demonstrations of the digital correction of complex wave errors caused by arbitrary phase-shift errors in phase-shifting interferometry," Appl. Opt. 45, 1193-1202 (2006).
12. L. Z. Cai, Q. Liu, and X. L. Yang, "Generalized phase-shifting interferometry with arbitrary unknown phase steps for diffraction objects," Opt. Lett. 29, 183-185 (2004).
13. X. F. Xu, L. Z. Cai, Y. R. Wang, X. L. Yang, X. F. Meng, G. Y. Dong, X. X. Shen, and H. Zhang, "Generalized phase-shifting interferometry with arbitrary unknown phase shifts: direct wave-front reconstruction by blind phase shift extraction and its experimental verification," Appl. Phys. Lett. 90, 121124 (2007).
14. J. R. Fienup and J. J. Miller, "Aberration correction by maximizing generalized sharpness metrics," J. Opt. Soc. Am. A 20, 609-620 (2003).
15. S. T. Thurman and J. R. Fienup, "Phase error correction for digital holographic imaging," in Signal Recovery and Synthesis, Technical Digest Series (OSA, 2007), paper SMC1.
16. E. Cuche, P. Marquet, and C. Depeursinge, "Spatial filtering for zero-order and twin-image elimination in digital off-axis holography," Appl. Opt. 39, 4070-4075 (2000).
17. T.-C. Poon, T. Kim, G. Indebetouw, B. W. Schilling, M. H. Wu, K. Shinoda, and Y. Suzuki, "Twin-image elimination experiments for three-dimensional images in optical scanning holography," Opt. Lett. 25, 215-217 (2000).
18. J. Hahn, H. Kim, and B. Lee, "Optimization of the spatial light modulation with twisted nematic liquid crystals by a genetic algorithm," Appl. Opt. 47, 2357 (2008).
19. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, 1999).
20. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts & Company, 2004).
21. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, 5th ed.(Academic, 2001).
22. L. V. Ahlfors, Complex Analysis, 3rd ed. (McGraw-Hill, 1979).
23. Z. Michalewicz, Genetic Algorithms + DataStructures = Evolution Programs (Springer-Verlag, 1999).