Temporal Paul wavelet analysis for phase retrieval using shadow moire technique

H. T. Niu; C. Quan; C. J. Tay

doi:10.1117/12.814585

3 October 2008 Temporal Paul wavelet analysis for phase retrieval using shadow moire technique

H. T. Niu, C. Quan, C. J. Tay

Proceedings Volume 7155, Ninth International Symposium on Laser Metrology; 71552B (2008) https://doi.org/10.1117/12.814585
Event: Ninth International Symposium on Laser Metrology, 2008, Singapore, Singapore

Abstract

Temporal Paul wavelet analysis for instantaneous phase extraction using shadow moire 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.

Citation Download Citation

H. T. Niu, C. Quan, and C. J. Tay "Temporal Paul wavelet analysis for phase retrieval using shadow moire technique", Proc. SPIE 7155, Ninth International Symposium on Laser Metrology, 71552B (3 October 2008); https://doi.org/10.1117/12.814585

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
9 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Wavelets

Fourier transforms

Fringe analysis

Wavelet transforms

Phase retrieval

Signal to noise ratio

Continuous wavelet transforms

Show All Keywords

Keywords/Phrases

Search In:

Publication Years