Department  of Engineering Mechanics, Southeast University, Nanjing,Jiangsu 210096 China
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Department of Engineering Mechanics, Southeast University, Nanjing,Jiangsu 210096 China. Application of Wavelet Transform for Analyzing Instantaneous Contour of Continual Deformation Object. 东南大学工程力学系 陈凡秀. Method of 3D profilometry. Moire topography:

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东南大学工程力学系 陈凡秀

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Department of Engineering Mechanics, Southeast University, Nanjing,Jiangsu 210096 China

Application of Wavelet Transform for Analyzing Instantaneous Contour of Continual Deformation Object

东南大学工程力学系

陈凡秀


Method of 3D profilometry

  • Moire topography:

    Proposed by Meadows and Takasaki in the early 1970’s


  • Fourier transform

    Fourier transform

    Filter

    Inverse Fourier transform

    Phase Unwrapping


  • Phase shifting method

    Limited to surface contouring of static object only

  • Temporal phase-analysis and temporal phase-unwrapping techniques(late 1990’s)

    The Fourier-transform method become a popular method

  • Wavelet transform method

    (Continuous wavelet transform, CWT)


Continuous wavelet transform (CWT)

CWT:

(1)

Morlet wavelet:

(2)


d

CCD camera

Light source

L

α

γ

p

Grating

α′

γ′

h (x, y)

Object

(x, y)

Fig. 1 Optical geometry

Theoretical analysis


(3)

(4)

(5)


ζ=ω0 / a

(6)

(7)

(8)


Simulation


High-Speed

CCD camera

White-light source

Z

X

Grating

Object

Computer

Mobile Stage

Fig. 3 Experimental setup

Experiment and Results


Sample and parameters

Fig. 4 Typical moiré fringe patterns of cantilever beam

k=22.347

P= 5 lines/mm


Conclusion

Fig. 5 The instantaneous contour of T1=0.0025 s and T2=0.047 s.


Thank You For Your Concern!


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