A PDE model for 2D intrinsic mode functions

Proceedings - International Conference on Image Processing, ICIP

Volumn , Issue , 2009, Pages 3961-3964

  Diop, El Hadji S ^a   Alexandre, R ^a   Boudraa, A O ^a  

^a French Naval Academy   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT ENGINES; IMAGE PROCESSING; IMAGING SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; SIGNAL ANALYSIS; STRUCTURES (BUILT OBJECTS);

EMPIRICAL MODE DECOMPOSITION; FOURTH ORDER PARTIAL DIFFERENTIAL EQUATIONS; INTRINSIC MODE FUNCTIONS; NUMERICAL SIMULATION; PDE MODEL; REAL IMAGES; SURFACE INTERPOLATION;

TWO DIMENSIONAL;

EID: 77951962460     PISSN: 15224880     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIP.2009.5413798     Document Type: Conference Paper

References (14)

1. N. E. Huang, Z. S., S. R. Long, M. C. Wu, H. H. Shih, Q. Zheng, N.-C. Yen, C. C. Tung, and H. H. Liu, "The empirical mode decomposition and the hilbert spectrum for nonlinear and non-stationary time series analysis," The Royal Society, vol. 454, pp. 903-995, 1998.
2. J. Nunes, Y. Bouaoune, E. Delechelle, O. Niang, and P. Bunel, "Image analysis by bidimensional empirical mode decomposition," Elsevier Image and Vision Computing, vol. 21, pp. 1019-1026, 2003.
3. A. Linderhed, "Adaptative image compression using wavelets packets and empirical mode decomposition," Ph.D. dissertation, Department of Electrical Engineering, Linköping University, Sweden, 2004.
4. C. Damerval, S. Meignen, and V. Perrier, "A fast algorithm for bidimensional emd," IEEE Signal Processing Letters, vol. 12, no. 10, pp. 701-704, October 2005.
5. Y. Xu, B. Liu, J. Liu, and S. Riemenschneider, "Two-dimensional empirical mode decomposition by finite elements," The Royal Society A, pp. 1-17, 2006.
6. S. M. A. Bhuiyan, R. R. Adhami, and J. F. Khan, "A novel approach of fast and adaptative bidimensional empirical mode decomposition," in IEEE ICASSP, 2008, pp. 1313-1316.
7. E. H. S. Diop, R. Alexandre, and A. O. Boudraa, "A pde characterization of the intrinsic mode functions," in IEEE ICASSP, Taiwan, 2009 (accepted).
8. A. Linderhed, "2-d empirical mode decompositions- in the spirit of image compression," in Proc. of SPIE, WICAA IXI, vol. 4738, Florida, USA, 1-5 April 2002.
9. Z. Liu and S. Peng, "Estimation of image fractal dimension based on empirical mode decomposition," in ACIVS, Brussels, Belgium, 2004.
10. A. O. Boudraa, J. C. Cexus, F. Salzenstein, and A. Beghdadi, "Emd-based multibeam echosounder images segmentation," in IEEE ISCCSP, Marocco, 2006.
11. E. H. S. Diop, A. O. Boudraa, A. Khenchaf, R. Thibaud, and T. Garlan, "Multiscale characterization of bathymetric images by empirical mode decomposition," in MARID III, Leeds, UK, April 1-3 2008.
12. R. Lattés and J. L. Lions, The Method of Quasireversibility, Applications to Partial Differential Equations. New York: American Elsevier, 1969.
13. M. E. Taylor, Partial Differential Equations III: Nonlinear Equations, J. Marsden, L.Sirovich, and F. John, Eds. New York: Springer-Verlag, 1996, vol. 117.
14. Z. Wang and A. C. Bovik, "A universal image quality index," IEEE Sig. Proc. Let., vol. 9, no. 3, pp. 81-84, March 2002.