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

Method of 3D profilometry

  • Moire topography:

    Proposed by Meadows and Takasaki in the early 1970’s


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  • Fourier transform

    Fourier transform

    Filter

    Inverse Fourier transform

    Phase Unwrapping


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  • 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

Continuous wavelet transform (CWT)

CWT:

(1)

Morlet wavelet:

(2)


Theoretical analysis

d

CCD camera

Light source

L

α

γ

p

Grating

α′

γ′

h (x, y)

Object

(x, y)

Fig. 1 Optical geometry

Theoretical analysis


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(3)

(4)

(5)


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ζ=ω0 / a

(6)

(7)

(8)


Simulation

Simulation


Experiment and results

High-Speed

CCD camera

White-light source

Z

X

Grating

Object

Computer

Mobile Stage

Fig. 3 Experimental setup

Experiment and Results


Sample and parameters

Sample and parameters

Fig. 4 Typical moiré fringe patterns of cantilever beam

k=22.347

P= 5 lines/mm


Conclusion

Conclusion

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


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Thank You For Your Concern!


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