wavelet transform (2D)

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There is a python package called PyWavelets, which should be able to fulfill your needs. Unfortunately, it is not yet part of Sage, but since Sage is python-based, incorporating PyWavelets into Sage should be relatively painless. Here are a number of useful links:

• PyWavelets on github

• PyWavelets documentation

• A short and sweet sage-support discussion precisely regarding installation of PyWavelets so that it is visible to Sage

• Trac ticket 9932 to make PyWavelets an experimental SPKG

• PyWavelets Package on PyPI

Here is a list of feature highlights that I copy-pasted from github:

• 1D and 2D Forward and Inverse Discrete Wavelet Transform (DWT and IDWT)

• 1D and 2D Stationary Wavelet Transform (Undecimated Wavelet Transform)

• 1D and 2D Wavelet Packet decomposition and reconstruction

• Computing Approximations of wavelet and scaling functions

• Over seventy built-in wavelet filters and support for custom wavelets

• Single and double precision calculations

• Results compatibility with Matlab Wavelet Toolbox (tm)