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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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 Nanjing,Jiangsu 210096 China

  • Moire topography:

    Proposed by Meadows and Takasaki in the early 1970’s


  • Fourier transform Nanjing,Jiangsu 210096 China

    Fourier transform

    Filter

    Inverse Fourier transform

    Phase Unwrapping


  • Phase shifting method Nanjing,Jiangsu 210096 China

    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) Nanjing,Jiangsu 210096 China

CWT:

(1)

Morlet wavelet:

(2)


Theoretical analysis

d Nanjing,Jiangsu 210096 China

CCD camera

Light source

L

α

γ

p

Grating

α′

γ′

h (x, y)

Object

(x, y)

Fig. 1 Optical geometry

Theoretical analysis


(3) Nanjing,Jiangsu 210096 China

(4)

(5)


ζ=ω0 / a Nanjing,Jiangsu 210096 China

(6)

(7)

(8)


Simulation
Simulation Nanjing,Jiangsu 210096 China


Experiment and results

High-Speed Nanjing,Jiangsu 210096 China

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 Nanjing,Jiangsu 210096 China

Fig. 4 Typical moiré fringe patterns of cantilever beam

k=22.347

P= 5 lines/mm


Conclusion
Conclusion Nanjing,Jiangsu 210096 China

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


Thank You For Your Concern! Nanjing,Jiangsu 210096 China


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