Instrumentation, Measurement, and Metrology

Adaptive windowed Fourier transform in 3-D shape measurement

[+] Author Affiliations
Suzhen Zheng

Sichuan University, Department of Optoelectronics, Chengdu 610064, China

Wenjing Chen

Sichuan University, Department of Optoelectronics, Chengdu 610064, China

Xianyu Su

Sichuan University, Department of Optoelectronics, Chengdu 610064, China

Opt. Eng. 45(6), 063601 (June 14, 2006). doi:10.1117/1.2213986
History: Received July 12, 2005; Revised October 12, 2005; Accepted November 03, 2005; Published June 14, 2006
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An adaptive windowed Fourier transform method in 3-D measurement based on a wavelet transform is proposed, in which, by applying a wavelet ridge, a series of scaling factors are calculated to determine the series of prime windows needed in the windowed Fourier transform method. Because the spectrum of each local fringe is simpler than that of the whole fringe, even though there is frequency aliasing as far as the whole fringe is concerned, the fundamental spectrum may separate into components in each local fringe. It is easy to filter out one of the fundamental frequency components from the local spectra. Adding these local fundamental components, the full fundamental component can be obtained correctly. The advantage of the method is that it not only eliminates the frequency aliasing, but also obtains the modulation distribution function to guide phase unwrapping.

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© 2006 Society of Photo-Optical Instrumentation Engineers

Citation

Suzhen Zheng ; Wenjing Chen and Xianyu Su
"Adaptive windowed Fourier transform in 3-D shape measurement", Opt. Eng. 45(6), 063601 (June 14, 2006). ; http://dx.doi.org/10.1117/1.2213986


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