Hilbert 변환과 투과형 편향법을 이용한 3차원 측정연구
A Study of Three-Dimensional Measurement By Transmission Deflectometry and Hilbert Transform
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
광학 부품 표면의 3차원 측정을 위하여 투과형 편향법을 이용하였다. 한 장의 영상으로부터 변화된 위상을 추출하기 위하여Hilbert 변환을 이용하였다. 편향법은 면적이 비교적 크고 거울과 같이 산란이 거의 없는 물체의 3차원 측정을 하는데 유용하다. 편향법을 통해 얻은 왜곡 무늬와 hilbert 변환한 영상을 이용하여 위상을 구했으며, 이로부터 파면의 기울기를 측정하고, 구한기울기로부터 3차원 프로파일을 구하기 위해 최소자승법을 이용하였다. 전산기 시늉과 실험을 통해 Hilbert 변환을 이용한 3차원측정법이 유용함을 확인하였다.
Abstract
We used transmission deflectometry to measure the three-dimensional shapes of optical components, and we used the Hilberttransform to retrieve the phases from measured deformed fringe images. Deflectometry is useful for measuring large-scale samples,and specular samples. We have retrieved the phases from deformed fringe images and Hilbert-transformed images, and have usedthe least-squares method to find the height information. We have verified that phase retrieval using Hilbert transform is usefulby computer simulation and experiment.
참고문헌 (23)
- D. Malacara, "Optical Shop Testing" (2007), Wiley Interscience
- G. G. Torales, "Risley prisms to control wave-front tilt and displacement in a vectorial shearing interferometer", Appl. Opt, 41, pp.1380~1384 (2002)
- G. G. Torales, "Experimental intensity patterns obtained from a 2D shearing interferometer with adaptable sensitivity", Opt. Commun, 257, pp.16~26 (2006)
- J. Pfund, "Absolute sphericity measurement: a comparative study of the use of interferometry and a ShackHartmann sensor", Opt. Lett, 23, pp.742~744 (1998)
- H. Canabal, "Automatic wavefront measurement technique using a computer display and a charge-coupled device camera", Opt. Eng, 41, pp.822~826 (2002)
- C. Quan, "Phase-retrieval techniques in fringe-projection profilometry", Opt. Lasers Eng, 48, pp.235~243 (2010)
- C. D. Perciante, "Visualization of twodimensional phase gradients by subtraction of a reference periodic pattern", Appl. Opt, 39, pp.2081~2083 (2000)
- Z. Liu, "A novel orthogonal transmission-virtual grating method and its applications in measuring micro 3-D shape of deformed liquid surface", Opt. Lasers Eng, 51, pp.167~171 (2013)
- W. Shi, "Transmission-lattice based geometric phase analysis for evaluating the dynamic deformation of a liquid surface", Opt. Express, 22, pp.10559~10569 (2014)
- M. C. Knauer, "Phase measuring deflectometry: a new approach to measure specular free-form surfaces", Proc. SPIE, 5457, pp.366~376 (2004)
- J. Horbach, "3D reconstruction of specular surfaces using a calibrated projector-camera setup", Mach. Vis. Appl, 21, pp.331~340 (2010)
- Y. Tang, "3d shape measurement of the aspheric mirror by advanced phase measuring deflectometry", Opt. Express, 16, pp.15090~15096 (2008)
- G. Häusler, "Micro deflectometry a novel tool to acquire 3D micro topography with nanometer height resolution", Opt. Lett, 33, pp.396~398 (2008)
- 신상훈, "액체와 투과형 편향법을 이용한 광학부품의 굴절률 분포 측정", 한국광학회지, 25(6), pp.326~333 (2014), 한국광학회
- M. Takeda, "Fourier transform profilometry for the automatic measurement of 3-D object shapes", Appl. Opt, 22, pp.3977~3982 (1983)
- J. M. Huntley, "Temporal phase unwrapping algorithm for automated interferogram analysis", Appl. Opt, 32, pp.3047~3052 (1993)
- M. A. sutto, "Development and assessment of single-image fringe projection method for dynamic application", Exp. Mech, 42, pp.205~217 (2001)
- V. D. Madjarova, "Dynamic electronic speckle pattern interferometry phase analysises with temporal hilbert transform", Opt. Express, 11, pp.617~623 (2003)
- U. P. Kumar, "Time average vibration fringe analysis using hilbert transformation", Appl. Opt, 49, pp.5777~5786 (2010)
- M. M. Hasan, "Windowed fourier assisted two-dimensional hilbert transform fro fringe phase extraction", Optik, 124, pp.3996~4000 (2013)
- W. H. Southwell, "Wave-front estimation from wave-front slope measurements", J. Opt. Soc, 70, pp.998~1006 (1980)
- L. Huang, "Improvement of least-squares integration method with iterative compensations in fringe reflectometry", Appl. Opt, 51, pp.7459~7465 (2012)
- B. Rappaz, "Measurement of the integral refractive index and dynamic cell morphometry of living cells with digital holographic microscopy", Opt. Express, 13, pp.9361~9373 (2005)