Some links on curvelets:
- Curvelets were introduced in 1999 by Candes and Donoho to address the edge representation problem, see Curvelets 99. The definition they gave was based on windowed ridgelets -- it is a bit different from the one we now use in CurveLab. An early implementation is presented here. Further applications include inverse problems with edges and curvilinear integrals.
- Curvelet image denoising and image enhancement experiments based on the curvelet implementation described in this paper.
- Morphological Component Analysis: Component Separation based on the curvelet transform, and applications for texture separation and inpainting.
- Curvelets in Astrophysics: Jean-Luc Starck.
- Curvelets in Seismic Imaging at UBC: Felix Herrmann and his crew (Peyman,Gilles).
- Curvelets in Seismic Imaging: Martijn de Hoop at Purdue, and Huub Douma at the Colorado School of Mines. Recent work in collaboration with Hart Smith, Gunter Uhlmann and Eric Dussaud.
- Curvelets in Pure Math: Hart Smith was the first to construct a tight frame of curvelets, in the context of wave equations with low-regularity coefficients.
- Curvelets in Plasma Physics: Bedros Afeyan at Polymath.
- Contourlets: a curvelet-like transform based on filterbanks, by Minh Do and Martin Vetterli.
- Shearlets and wavelets with composite dilations: a curvelet-like approach within the framework of affine systems, by Demetrio Labate, Gitta Kutyniok and co-workers.
- Waveatom.org: a webage on wave atoms, from the authors of CurveLab.
- The reference for wavelets is Wavelet.org. For the newest books on wavelets, check out: Books on Wavelets
Apologies to anybody who would feel left out of this list - please drop me an email at laurent at curvelet.org.