Dear all
I have a 2-dimensional mode shape of one concrete beam and I put the data of mode shape in a matrix (69*3) which the first column in the matrix is x coordination of my beam and the second column of the matrix is the coordination of y and the third column is the mode shape point of each nodal point.
In the case of damage detection can I calculate 2-dimensional wavelet transform for f(x,y)
while I did not define any curve for it and it is a discrete function?
I would appreciate if you help me with Calculation in MATLAB for 2d continuous wavelet transform.
You can check this
https://www.mathworks.com/help/wavelet/ref/cwtft2.html
Dear Dr Fahime: A two-dimensional (2-D) continuous wavelet transform (CWT)-based damage detection algorithm using “Dergauss2d” wavelet for plate-type structures is presented. The 2-D CWT considered in this study is based on the formulation by Antoine et al. (2004). For more on this take a look at :
Article A 2-D continuous wavelet transform of mode shape data for da...
Have a look at the following useful links:
https://www.mathworks.com/help/wavelet/ref/cwtft2.html
https://www.mathworks.com/help/wavelet/ref/cwtftinfo2.html
Regards--
The chapter 7 of the book "A wavelet tour of signal processing" of Stéphane Mallat is enlightening about the subject of multidimensional wavelets. In particular section 7.7.4 :
https://www.di.ens.fr/~mallat/papiers/chap7-2.pdf.
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