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Several articles, like Detection of superimposed periodic signals using wavelets and À Trous Wavelet Decomposition Applied to Image Edge Detection mention "wavelet planes" but I do not understand what these are.

In wikipedia and in a python package to calculate wavelet decomposition, there is no reference to "wavelet planes". Are these the list of approximation and details coefficients (such as the output of the function on the package)?

Catarina Alves
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  • I’m voting to close this question because off topic – Graviton Sep 23 '20 at 06:40
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    @Graviton, I do not know how to close it. I thought it was on topic because I wanted to use the python package to obtain the "wavelet planes" but I do not understand if the output of the function is what I wanted. But if it is not appropriate, I will ask it in the Mathematics website. – Catarina Alves Sep 24 '20 at 11:06

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Explains it in the article it's been linked:

The algorithm can decompose an image (or a signal) into an approximate signal and a detail signal at a scale, the detail signal is called a wavelet plane, which is same as the original image in dimension.

Basically Wavelet is an algorithmic technique (similar to trees not exactly though) that decomposes 1-D or 2-D time-series data, mapping them into low-frequency and high-frequency data using convolution theories.

  • Those high frequency data is called Details or here "wavelet plane" (never actually heard this term before).

  • The low-frequency data is generally referred to as Approximations.

enter image description here

  • The above decomposition is one of the existing one.

Example of mapping in an image:

enter image description here

Another Example

enter image description here

Emma
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