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Title: Temporal Paul wavelet analysis for phase retrieval using shadow moiré technique
Authors: Niu, H.T.
Quan, C. 
Tay, C.J. 
Keywords: Complex wavelet
Dynamic object
Instantaneous frequency
Morlet wavelet
Paul wavelet
Phase retrieval
Phase unwrapping
Shadow moiré
Surface profile
Temporal domain
Issue Date: 2008
Citation: Niu, H.T., Quan, C., Tay, C.J. (2008). Temporal Paul wavelet analysis for phase retrieval using shadow moiré technique. Proceedings of SPIE - The International Society for Optical Engineering 7155 : -. ScholarBank@NUS Repository.
Abstract: Temporal Paul wavelet analysis for instantaneous phase extraction using shadow moiré technique is proposed. Unlike the Morlet wavelet, the Paul wavelet has less restriction on the adjustment of wavelet parameters and can provide an optimal time and frequency resolution for a particular application by selecting the proper parameters. The Paul wavelet is a complex wavelet and is suitable for processing the temporal intensity data obtained from the shadow moire technique for the phase retrieval. The proposed method can extract the phase information related to the state of the dynamic object at every instant in temporal domain. The phase information is associated to the displacement, three-dimensional (3D) surface-profile and the instantaneous state of the dynamic object. In addition, the instantaneous frequency of vibrating object can be obtained using the scale of the wavelet ridge by direct integration without temporal and spatial phase unwrapping. Thus the phase unwrapping error can be avoided. An experiment is conducted on the central loaded beam to demonstrate the validity of the proposed technique.
Source Title: Proceedings of SPIE - The International Society for Optical Engineering
ISBN: 9780819473981
ISSN: 0277786X
DOI: 10.1117/12.814585
Appears in Collections:Staff Publications

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