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i wrote my master thesis on wavelets! a few years back they morphed into shearlets and contourlets. https://en.wikipedia.org/wiki/Contourlet https://en.wikiped
by misiti3780 7y ago
i wrote my master thesis on wavelets! a few years back they morphed into shearlets and contourlets.
https://en.wikipedia.org/wiki/Contourlet https://en.wikipedia.org/wiki/Contourlet
https://en.wikipedia.org/wiki/Shearlet https://en.wikipedia.org/wiki/Shearlet
- ska 7y agoThey didn't really morph, these were approaches to deal with a fundamental issue in signal representation in higher dimensions that comes up when you use tensor product representations. Simply put, wavelets are not good at capturing edges in signals of dimension > 1 (although they are great at it for dimension 1) The fundamental (functional analysis) research in this area split in a few directions. One as you mention, mostly driven by imaging research, but also frame theory and non tensor-product basis, etc.