Wavelet transform of samples collected irregularly in 2D space

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Asim Biswas 2012-2-15

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https://ww2.mathworks.cn/matlabcentral/answers/29134-wavelet-transform-of-samples-collected-irregularly-in-2d-space

编辑： Walter Roberson 2013-10-17

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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Answer 1

Wayne King 2012-2-18

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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 2012-2-20

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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