
This Article  
 
Share  
Bibliographic References  
Add to:  
Digg Furl Spurl Blink Simpy Del.icio.us Y!MyWeb  
Search  
 
ASCII Text  x  
Jianwei Ma, Gerlind Plonka, "Computing with Curvelets: From Image Processing to Turbulent Flows," Computing in Science and Engineering, vol. 11, no. 2, pp. 7280, March/April, 2009.  
BibTex  x  
@article{ 10.1109/MCSE.2009.26, author = {Jianwei Ma and Gerlind Plonka}, title = {Computing with Curvelets: From Image Processing to Turbulent Flows}, journal ={Computing in Science and Engineering}, volume = {11}, number = {2}, issn = {15219615}, year = {2009}, pages = {7280}, doi = {http://doi.ieeecomputersociety.org/10.1109/MCSE.2009.26}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  MGZN JO  Computing in Science and Engineering TI  Computing with Curvelets: From Image Processing to Turbulent Flows IS  2 SN  15219615 SP72 EP80 EPD  7280 A1  Jianwei Ma, A1  Gerlind Plonka, PY  2009 KW  Computer simulations KW  computational science KW  engineering KW  curvelets KW  turbulent flow VL  11 JA  Computing in Science and Engineering ER   
1. E. Candes et al., "Fast Discrete Curvelet Transforms," Multiscale Modeling and Simulation, vol. 5, no. 3, 2006, pp. 861–899.
2. E. Candes and D. Donoho, "Curvelets: A Surprisingly Effective Nonadaptive Representation for Objects with Edges," Curves and Surface Fitting: SaintMalo 1999, A. Cohen, C. Rabut, and L. Schumaker eds., , Vanderbilt Univ. Press, 2000, pp. 105–120.
3. E. Candes and D. Donoho, "New Tight Frames of Curvelets and Optimal Representations of Objects with Piecewise Singularities," Comm. Pure and Applied Mathematics, vol. 57, no. 2, 2004, pp. 219–266.
4. J. Ma, "Curvelets for Surface Characterization," Applied Physics Letters, vol. 90, no. 5, 2007, pp. 054109:1–3.
5. J. Ma, A. Antoniadis, and F.X. Le Dimet, "CurveletsBased Multiscale Detection and Tracking for Geophysical Fluids," IEEE Trans. Geoscience and Remote Sensing, vol. 44, no. 12, 2006, pp. 3626–3637.
6. J. Ma and G. Plonka, "Combined Curvelet Shrinkage and Nonlinear Anisotropic Diffusion," IEEE Trans. Image Processing, vol. 16, no. 9, 2007, pp. 2198–2206.
7. J. Starck, E. Candes, and D. Donoho, "The Curvelet Transform for Image Denoising," IEEE Trans. Image Processing, vol. 11, no. 6, 2002, pp. 670–684.
8. L. Ying, L. Demanet, and E. Candes, "3D Discrete Curvelet Transform," Proc. SPIE Wavelets XI, vol. 5914, SPIE, 2005, p. 413.
9. N. Kingsbury, "Image Processing with Complex Wavelets," Philosophical Trans. Royal Soc. A., vol. 357, no. 1760, 1999, pp. 2543–2560.
10. E. Candes and D. Donoho, "Ridgelets: A Key to HigherDimensional Intermittency?," Philosophical Trans. Royal Soc. A., vol. 357, no. 1760, 1999, pp. 2495–2509.
11. J. Ma and M. Fenn, "Combined Complex Ridgelet Shrinkage and Total Variation Minimization," SIAM J. Scientific Computing, vol. 28, no. 3, 2006, pp. 984–1000.
12. D. Donoho, "Wedgelets: Nearly Minimax Estimation of Edges," Ann. Statistics, vol. 27, no. 3, 1999, pp. 859–897.
13. E. Le Pennec and S. Mallat, "Sparse Geometrical Image Approximation with Bandlets," IEEE Trans. Image Processing, vol. 14, no. 4, 2005, pp. 423–438.
14. M. Do and M. Vetterli, "The Contourlet Transform: An Efficient Directional Multiresolution Image Representation," IEEE Trans. Image Processing, vol. 14, no. 12, 2005, pp. 2091–2106.
15. K. Guo and D. Labate, "Optimally Sparse Multidimensional Representation Using Shearlets," SIAM J. Mathematical Analysis, vol. 39, no. 1, 2007, pp. 298–318.
16. R. Willett and K. Nowak, "Platelets: A Multiscale Approach for Recovering Edges and Surfaces in PhotonLimited Medical Imaging," IEEE Trans. Medical Imaging, vol. 22, no. 3, 2003, pp. 332–350.
17. J. Starck et al., "Gray and Color Image Contrast Enhancement by the Curvelet Transform," IEEE Trans. Image Processing, vol. 12, no. 6, 2003, pp. 706–717.
18. M. Choi et al., "Fusion of Multispectral and Panchromatic Satellite Images Using the Curvelet Transform," IEEE Geoscience Remote Sensing Letters, vol. 2, no. 2, 2005, pp. 136–140.
19. S. Dekel and A. Sherman, "Curvelets: A LowLevel Framework for Computer Vision," preprint, GE Healthcare, 2008.
20. G. Plonka and J. Ma, "Nonlinear Regularized ReactionDiffusion Filters for Denoising of Images with Textures," IEEE Trans. Image Processing, vol. 17, no. 8, 2008, pp. 1283–1294.
21. G. Hennenfent and F. Herrmann, "Seismic Denoising with Nonuniformly Sampled Curvelets," Computing in Science &Eng., vol. 8, no. 3, 2006, pp. 16–25.
22. R. Neelamani et al., "Coherent and Random Noise Attenuation Using the Curvelet Transform," The Leading Edge, vol. 27, no. 2, 2008, pp. 240–248.
23. H. Douma and M. de Hoop, "LeadingOrder Seismic Imaging Using Curvelets," Geophysics, vol. 72, no. 6, 2007, pp. S231–S248.
24. H. Chauris and T. Nguyen, "Seismic Demigration/Migration in the Curvelet Domain," Geophysics, vol. 73, no. 2, 2008, pp. S35–S46.
25. F. Herrmann, D. Wang, and D. Verschuur, "Adaptive CurveletDomain PrimaryMultiple Separation," Geophysics, vol. 73, no. 3, 2008, pp. A17–A21.
26. F. Herrmann, P. Moghaddam, and C. Stolk, "Sparsity and ContinuityPromoting Seismic Image Recovery with Curvelet Frames," Applied and Computational Harmonic Analysis, vol. 24, no. 2, 2008, pp. 150–173.
27. I. BermejoMoreno and D. Pullin, "On the NonLocal Geometry of Turbulence," J. Fluid Mechanics, vol. 603, 2008, pp. 101–135.
28. J. Ma and M. Hussaini, "ThreeDimensional Curvelets for Coherent Vortex Analysis of Turbulence," Applied Physics Letters, vol. 91, no. 18, 2007, pp. 184101:1–3.
29. E. Candes, J. Romberg, and T. Tao, "Stable Signal Recovery from Incomplete and Inaccurate Measurements," Comm. Pure Applied Mathematics, vol. 59, no. 8, 2005, pp. 1207–1233.
30. E. Candes and T. Tao, "Decoding by Linear Programming," IEEE Trans. Information Theory, vol. 51, no. 12, 2005, pp. 4203–4215.
31. D. Donoho, "Compressed Sensing," IEEE Trans. Information Theory, vol. 52, no. 4, 2006, pp. 1289–1306.
32. J. Ma and F.X. Le Dimet, "Deblurring from Highly Incomplete Measurements for Remote Sensing," to be published in IEEE Trans. Geoscience Remote Sensing, 2008.