Sparse transforms: DCT, DTCW, Shearlet, Contourlets

[mrava87]

Motivation

This Issue is intended to collect pointers to various transforms that we would like to include in PyLops (as well as discuss the level of maturity of the Python libraries providing such transforms).

Contourlets

• https://github.com/mazayux/pycontourlet

and create tutorial based on https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9833541

DCT: done 🚀

- https://docs.scipy.org/doc/scipy/reference/generated/scipy.fftpack.dct.html

and 2D: https://stackoverflow.com/questions/7110899/how-do-i-apply-a-dct-to-an-image-in-python

See this for an example: https://inst.eecs.berkeley.edu/~ee123/sp16/Sections/JPEG_DCT_Demo.html

DTCW

Make operator based on:

• https://dtcwt.readthedocs.io/en/0.12.0/

Shearlet

Make operator for Shearlet transform using either of those libraries:

• https://github.com/stefanloock/pyshearlab and http://na.math.uni-goettingen.de/pyshearlab/

• https://github.com/grlee77/PyShearlets

and create tutorial based on http://citeseerx.ist.psu.edu/viewdoc/download;jsessionid=250093F1970AD5FCFCF9921F97DA9BE1?doi=10.1.1.572.1557&rep=rep1&type=pdf

[dikwickley]

@mrava87 i would like to work on this issue