한국광학회지 (Korean Journal of Optics and Photonics)

  • 제18권2호
  • /
  • Pages.122-129
  • /
  • 2007
  • /
  • 1225-6285(pISSN)
  • /
  • 2287-321X(eISSN)
한국광학회 (Optical Society of Korea)
권호 표지
DOI QR코드

DOI QR Code

디지털 홀로그래피에서의 수정된 골드스타인 알고리즘을 이용한 위상펼침

Phase Unwrapping using Modified Goldstein Algorithm in Digital Holography

  • 발행 : 2007.04.25
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

디지털 홀로그래피를 이용하여 얻어진 위상정보는 위상펼침 알고리즘을 이용하여 3차원 상을 구현할 수 있다. 위상펼침 방법에는 다양한 알고리즘이 사용되고 있다. 이중 연산 시 사용하는 메모리용량이 작고 연산시간이 짧은 골드스타인 알고리즘이 많이 사용된다. 골드스타인 알고리즘은 쌍을 이루는 특이점이 아닌 다른 특이점이 가까울 때 잘못된 연산을 수행하여 잘못된 3차원 정보를 준다. 이러한 골드스타인 알고리즘의 오류를 특이점과 경계면 데이터를 이용하여 수정하였다. 수정된 알고리즘을 이용하면 분해 한계 영역의 데이터도 복원될 수 있음을 확인하였다. 수정된 알고리즘의 연산시간은 골드스타인 알고리즘보다 약 10%가 증가되지만 다른 알고리즘에 비하면 연산시간이 짧다.

Generally, many kinds of phase unwrapping algorithm are used to obtain three-dimensional features in digital holography. The Goldstein algorithm is ra epresentative method. which requires small memory capacity and short execution time fer an unwrapping process. However, the Goldstein algorithm has some problems when the dipole residue is located at the boundary. When the opposite residues are located at the boundary and the distance between the opposite residues is longer than the boundary, an incorrect branch cut occurs and results in incorrect calculation. We have modified the Goldstein algorithm to solve the incorrect calculation problem using boundary information. We found that the modified Goldstein algorithm could resolve the Goldstein algorithm's problem.

키워드

참고문헌

  1. J. W. Goodman and R. W. Lawrence, 'Digital image formation from electronically detected holograms,' Appl. Phys. Lett., vol. 11, pp. 77-79, 1967 https://doi.org/10.1063/1.1755043
  2. M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, 'Reconstruction of a hologram with computer,' Sov. Phys. Tech. Phys., vol. 17, pp. 434-444, 1972
  3. Haddad W, Cullen D, Solem J, Longworth J, McPherson A, Boyer K, and Rhodes K, 'Fourier-transform holographic microscope,' Appl Opt., vol. 31, pp. 4973-4978, 1992 https://doi.org/10.1364/AO.31.004973
  4. H. J. Kreuzer and R. A. Pawlitzek, 'Numerical Reconstruction for in-line Holography in Reflection and under glancing Incidence,' Proc. 3rd International Workshop on Automatic Processing of Fringe Patterns. Akademie, Berlin, pp. 364-367, 1997
  5. V. Kebbel, H. J. Hartmann, and W. Juptner, 'Application of digital holographic microscopy for inspection of microoptical components,' SPIE, vol. 4398. pp. 189-198, 2001 https://doi.org/10.1117/12.445551
  6. Coppola G, De Nicola S, Ferraro P, Finizio A, Grilli S, Iodice M, Magro C, and Pierattini G, 'Evaluation of residual stress in MEMS structures by means of digital holography,' SPIE, vol. 4933, pp. 226-31, 2003 https://doi.org/10.1117/12.516637
  7. J. M. Huntley, 'Noise-immune phase unwrapping algorithm,' Appl. Opt., vol. 28, pp. 3268-3270, 1989 https://doi.org/10.1364/AO.28.003268
  8. T. J. Flynn, 'Two-dimensional phase unwrapping with minimum weighted discontinuity,' J. Opt. Soc. Am. A, vol. 14, No. 10, pp. 2692-2701, 1997 https://doi.org/10.1364/JOSAA.14.002692
  9. G. Fornaro, G. Franceschetti, R. Lanari, E. Sansositi, and M. Tesauro, 'Global and local phase unwrapping technique: A comparison,' J. Opt. Soc. Am. A, vol. 12, pp. 2355-2366, 1997 https://doi.org/10.1364/JOSAA.14.002702
  10. H. O. Saldner and J. M. Huntley, 'Profilometry using temporal phase unwrapping and spatial light modulator- based fringe projector,' Opt. Eng., vol. 36, pp. 610-615, 1997 https://doi.org/10.1117/1.601234
  11. M. D. Pritt, 'Phase unwrapping by means of multigrid techniques for interferometric SAR,' IEEE Tranc. Geoscience and Remote Sensing, vol. 43, pp.728-738, 1996 https://doi.org/10.1109/36.499752
  12. Howard A. Zebker and Yanping Lu, 'Phase unwrapping algorithms for radar interferometry: residue-cut, least-squares, and synthesis algorithms,' J. Opt. Soc. Am. A, vol. 15, pp. 586-597, 1998 https://doi.org/10.1364/JOSAA.15.000586
  13. Vyacheslav V. Volkov and Yimei Zhu, 'Deterministic phase unwrapping in the presence of noise,' Opt. Lett., vol. 28, pp. 2156-2158, 2003 https://doi.org/10.1364/OL.28.002156
  14. Wei Xu, 'A Region-Growing Algorithm for InSAR Phase Unwrapping,' IEEE Trans. Geoscience and Remote Sensing, vol. 37, pp. 124-134, 1999 https://doi.org/10.1109/36.739143
  15. Yasuhiro Takaki and Hitoshi Ohzu, 'Fast numerical reconstruction technique for high-resolution hybrid holographic microscopy,' Appl. Opt., vol. 38, pp. 2204-2211, 1999 https://doi.org/10.1364/AO.38.002204
  16. D. C. Ghiglia and M. D. Pritt, 'Two-Dimensional Phase Unwrapping,' John Wiley & Sons, Ch3-Ch5, 1998
  17. K. Itoh, 'Analysis of the phase unwrapping problem,' Appl. Opt., vol. 21, pp. 2470-2474, 1982 https://doi.org/10.1364/AO.21.002470

피인용 문헌

  1. Development of full-field optical spatial coherence tomography system for automated identification of malaria using the multilevel ensemble classifier vol.11, pp.5, 2018, https://doi.org/10.1002/jbio.201700279