Korean Journal of Optics and Photonics (한국광학회지)

Optical Society of Korea (한국광학회)
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A Study of Three-Dimensional Measurement By Transmission Deflectometry and Hilbert Transform

Hilbert 변환과 투과형 편향법을 이용한 3차원 측정연구

  • Na, Silin (Department of Physics, Jeju National University) ;
  • Yu, Younghun (Department of Physics, Jeju National University)
  • Received : 2015.10.19
  • Accepted : 2016.04.08
  • Published : 2016.04.25
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Abstract

We used transmission deflectometry to measure the three-dimensional shapes of optical components, and we used the Hilbert transform 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 used the least-squares method to find the height information. We have verified that phase retrieval using Hilbert transform is useful by computer simulation and experiment.

광학 부품 표면의 3차원 측정을 위하여 투과형 편향법을 이용하였다. 한 장의 영상으로부터 변화된 위상을 추출하기 위하여 Hilbert 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, 구한 기울기로부터 3차원 프로파일을 구하기 위해 최소자승법을 이용하였다. 전산기 시늉과 실험을 통해 Hilbert 변환을 이용한 3차원 측정법이 유용함을 확인하였다.

Keywords

References

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