• Title/Summary/Keyword: 변환 광학

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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;Yu, Younghun
    • Korean Journal of Optics and Photonics
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    • v.27 no.2
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    • pp.61-66
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    • 2016

  • 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.

  • https://doi.org/10.3807/KJOP.2016.27.2.061 인용 PDF KSCI

Implementation of 2-D Incoherent Imaging using Hilbert Transform based on Two-Pupil Optical Heterodyne Scanning System (Two-Pupil 광학 헤테로다인 스캐닝 시스템 기반의 힐버트 변환을 활용한 2-D 인코히어런트 이미징 구현)

  • Kyung, Min-Gu;Doh, Kyu-Bong
    • Journal of Advanced Navigation Technology
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    • v.16 no.2
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    • pp.240-246
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    • 2012

  • The Hilbert transform, which has been hitherto discussed in coherent imaging, is for the first time investigated in the context of incoherent imaging. Because the Hilbert transform of the information is superposed coherently with the original light field. We present a two-pupil optical heterodyne scanning system and analyze mathematically the design of its two pupils such that the optical system can perform the Hilbert transform on incoherent objects. In this paper, we review and formulate the definition of an analytic signal of a function and from which we can obtain the Hilbert transform of the function. and we analyze the design of pupils so as to obtain the Hilbert transform and show some 2-D simulations. Computer simulation results of the idea clarify the theoretical results.

  • https://doi.org/10.12673/jkoni.2012.16.2.240 인용 PDF KSCI