Wavelet transform of samples collected irregularly in 2D space

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Asim Biswas
Asim Biswas el 15 de Feb. de 2012
Editada: Walter Roberson el 17 de Oct. de 2013
Hi, I am a very basic user of Matlab. I am growing my interest in signal processing. I was looking for any codes or resources to perform wavelet transform of samples collected irregularly in 2D space. Wavelet transform of irregular samples in 1D space can be completed using lifting. But any suggestion for irregular samples in 2D space and any available code or resource? Your help is highly appreciated. Thank you.

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Wayne King
Wayne King el 18 de Feb. de 2012
Hi Asim, you can do the same thing with lifting in 2-D. The Wavelet Toolbox has a number of routines for lifting in both 1-D and 2-D.
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Asim Biswas
Asim Biswas el 20 de Feb. de 2012
Dear Wayne,
Thank you very much. I really appreciate this. I have looked at the functions available in Wavelet toolbox to perform lifting wavelet transform. The 'lwt2' performs the transform. However, it requires a matrix input of the data. In my case, the data are collected randomly within an area with x and y axis noted. So my data is not in a matrix rather it is in the form of XYZ. I am not sure, how this data format will work? Also, in the DWT in 1D, we can get the multiresolution analysis of the data (different level details and approximations). Can we perform similar analysis in the 2D with irregularly sampled data?
Thank you very much for your help. I appreciate your time.
With regards.
Asim

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