The results of our algorithm are compared to the results one would obtain with some algorithms for wavelet denoising. The following preprint has been submitted to IEEE Transactions on Neural Networks . This work is being polished. I'll put here an electronic version as soon as possible. My newest interest is in ridglets, and more in general in tilings of the phase-space which are promising for application to signal analysis.
Many problem remain open.
The introduction of curvlets is, in my opinion, still unsatisfactory, even if the results obtained are certainly remarkable. I'd appreciate any comment or discussion on the above. Material on the subject can be found at the web-pages by E.Candes and D.Donoho . I'm also studying generalization of wavelets and their relationships with continuous and discrete group representations.