Phase analysis error reduction in the Fourier transform method using a virtual interferogram
| Autor: | Mitsuo Takeda, Naoki Fujiwara, Saori Udagawa, Shigeru Nakayama, Hidemitsu Toba, Takashi Gemma, Zhiqiang Liu |
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| Rok vydání: | 2009 |
| Předmět: |
Iterative method
Zernike polynomials Ripple Phase (waves) Boundary (topology) 02 engineering and technology 01 natural sciences Structured-light 3D scanner 010309 optics symbols.namesake 020210 optoelectronics & photonics Optics 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Mathematics business.industry Astrophysics::Instrumentation and Methods for Astrophysics General Engineering Atomic and Molecular Physics and Optics Interferometry Amplitude Fourier transform symbols business Algorithm Linear filter |
| Zdroj: | SPIE Proceedings. |
| ISSN: | 0277-786X |
| DOI: | 10.1117/12.825200 |
| Popis: | We propose a method for reducing artifactual phase errors inherent to the Fourier transform method (FTM) for fringe analysis. The phase obtained by the FTM is subject to ripple errors at the boundary edges of the fringe pattern where fringes become discontinuous. We note that these artifactual phase errors are found to have certain systematic relations to the form of the phase, amplitude, and background intensity distributions, which can be modeled by low-order polynomials, such as Zernike polynomials, in many cases of practical interest. Based on this observation, we estimate the systematic ripple errors by analyzing a virtual interferogram that is numerically created for a fringe model with known phase, amplitude, and background intensity distributions. Starting from a rough initial guess, the virtual interferogram is sequentially improved by an iterative algorithm, and the estimated errors are finally subtracted from the experimental data. We present the results of simulations and experiments that demonstrate the validity of the proposed method. |
| Databáze: | OpenAIRE |
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