Question: how to implement phase singularities in maple?

hello I would like to ask how to implement phase singularities using wavelets in maple.

https://pdfs.semanticscholar.org/03cf/d388491c4fc7bc41c5f99a284feb7b2c34f1.pdf

http://mmlab.ie.cuhk.edu.hk/archive/2009/pami09_theory.pdf

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