The complex bidimensional empirical mode decomposition

Signal Processing

Volumn 92, Issue 2, 2012, Pages 523-541

  Yeh, Min Hung ^a  

^a NATIONAL ILAN UNIVERSITY   (Taiwan)

Author keywords

BEMD; Color image analysis; Color image fusion; Complex BEMD

Indexed keywords

2-D SIGNALS; BEMD; BIDIMENSIONAL EMPIRICAL MODE DECOMPOSITION; COLOR IMAGE ANALYSIS; COLOR IMAGE FUSION; COLOR IMAGE FUSIONS; COMPLEX DOMAINS; COMPLEX-BEMD; COMPLEX-VALUED SIGNAL; FOUR QUADRANT; IMAGE FUSION ALGORITHMS; INTRINSIC MODE FUNCTIONS; NMR SIGNALS;

ALGORITHMS; COLOR; COLOR IMAGE PROCESSING;

IMAGE FUSION;

EID: 80054736879     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2011.08.019     Document Type: Article

References (60)

1. N.E. Huang, Z. Shen, 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 Proceedings of the Royal Society London, Part A 454 1998 903 995 (Pubitemid 128733183)
2. N.E. Huang, and S.S. Shen The Hilbert-Huang Transform and its Applications 2005 World Scientific
3. T.M. Rutkowski, D.P. Mandic, A. Cichocki, and A.W. Przybyszewski EMD approach to multichannel EEG data - the amplitude and phase components clustering analysis Journal of Circuits Systems and Computers 19 1 2010 215 229
4. H.H.J. Pan Speech pitch determination based on HilbertHuang transform Signal Processing 86 2006 792 803
5. Y. Huang, F.G. Schmitt, Z. Lu, and Y. Liu Analysis of daily river flow fluctuations using empirical mode decomposition and arbitrary order Hilbert spectral analysis Journal of Hydrology 373 12 2009 103 111
6. J.F. Khan, K. Barner, and R. Adhami Feature point detection utilizing the empirical mode decomposition EURASIP Journal on Advances in Signal Processing 2008 doi:10.1155/2008/287061
7. Z. Yang, Z. Yang, and L. Yang Iris recognition based on HilbertHuang transform Advances in Adaptive Data Analysis 1 4 2009 623 641
8. N.E. Huang, Z. Shen, and S.R. Long A new view of nonlinear water waves: the Hilbert spectrum Annual Review of Fluid Mechanics 31 1999 417 457 (Pubitemid 36186209)
9. Z. Wu, and N.E. Huang Ensemble empirical mode decomposition: a noise-assisted data analysis method Advances in Adaptive Data Analysis 1 1 2009 1 41
10. T. Tanaka, and D.P. Mandic Complex empirical mode decomposition IEEE Signal Processing Letters 14 February 2007 101 104 (Pubitemid 46351330)
11. G. Rilling, P. Flandrin, P. Goncalves, and J.M. Lilly Bivariate empirical mode decomposition IEEE Signal Processing Letters 14 December 2007 936 939 (Pubitemid 350201248)
12. N. Rehman, and D.P. Mandic Empirical mode decomposition for trivariate signals IEEE Transactions on Signal Processing 58 March 2010 1059 1068
13. N. Rehman, and D.P. Mandic Multivariate empirical mode decomposition Proceedings of the Royal Society, A 466 2009 1291 1302
14. J. Fleureau, A. Kachenoura, L. Albera, J.C. Nunes, and L. Senhadji Multivariate empirical mode decomposition and application to multichannel filtering Signal Processing 91 2011 2783 2792
15. J.C. Nunes, Y. Bouaoune, E. Delecheslle, O. Niang, and P. Bunel Image analysis by bidimensional empirical mode decomposition Image and Vision Computing 21 November 2003 1019 1026
16. J.C. Nunes, S. Guyot, and E. Delechelle Texture analysis based on local analysis of the bidimensional empirical mode decomposition Machine Vision and Applications 16 3 2005 177 188 (Pubitemid 40573960)
17. G.L. Xu, X.T. Wang, and X.G. Xu Improved bi-dimensional EMD and Hilbert spectrum for the analysis of textures Pattern Recognition 42 May 2009 718 734
18. D. Looney, and D.P. Mandic Multiscale image fusion using complex extensions of EMD IEEE Transactions on Signal Processing 57 April 2009 1626 1630
19. L.F. Liang, Z.L. Ping, An edge detection algorithm of image based on empirical mode decomposition, in: Second International Symposium on Intelligent Information Technology Application, Shanghai, China, vol. 1, 2008, pp. 128132.
20. M.B. Bernini, A. Federico, and G.H. Kaufmann Noise reduction in digital speckle pattern interferometry using bidimensional empirical mode decomposition Applied Optics 47 14 2008 2592 2598
21. Z.X. Liu, and S.L. Peng Boundary processing of bidimensional EMD using texture synthesis IEEE Signal Processing Letters 12 January 2005 33 36
22. A. Linderhed, Compression by image empirical mode decomposition, in: Proceedings of the IEEE International Conference on Image Processing, Genoa, Italy, vol. 1, 2005, pp. 553556. (Pubitemid 44538701)
23. J. Taghia, M. A. Doostari, J. Taghia, An image watermarking method based on bidimensional empirical mode decomposition, in: 2008 Congress on Image and Signal Processing, Sanya, Hainan, China, vol. 5, 2008, pp. 674678.
24. Y. Lee, J. Nah, J. Kim, Digital image watermarking using bidimensional empirical mode decomposition in wavelet domain, in: Proceedings of the 11th IEEE International Symposium on Multimedia, San Diego, CA, USA, 2009, pp. 583588.
25. C. Damerval, S. Meignen, and V. Perrier A fast algorithm for bidimensional EMD IEEE Signal Processing Letters 12 October 2005 701 704 (Pubitemid 41448579)
26. Y. Xu, B. Liu, J. Liu, and S. Riemenschneider Two-dimensional empirical mode decomposition by finite elements Proceedings of the Royal Society, Part A 462 2006 3081 3096 (Pubitemid 44619994)
27. S.M.A. Bhuiyan, R.R. Adhami, and J.F. Khan Fast and adaptive bidimensional empirical mode decomposition using order-statistics filter based envelope estimation EURASIP Journal on Advances in Signal Processing 2008 doi:10.1155/2008/728356
28. S.M.A. Bhuiyan, N.O. Attoh-Okine, K.E. Barner, A.Y. Ayenu-Prah, and R.R. Adhami Bidimensional empirical mode decomposition using various interpolation techniques Advances in Adaptive Data Analysis 1 2 2009 309 338
29. J.C. Nunes, O. Niang, Y. Bouaoune, E. Delechelle, P. Bunel, Texture analysis based on the bidimensional empirical mode decomposition with gray-level co-occurrence models, in: Proceedings of the 7th International Symposium on Signal Processing and its Applications, Paris, France, vol. 2, 2005, pp. 633655.
30. A. Linderhed 2-D empirical mode decompositions - in the spirit of image compression Proceeding of SPIE vol. 4738 2002
31. G.L. Xu, X.T. Wang, X.G. Xu, Neighborhood limited empirical mode decomposition and application in image processing, in: Proceedings of the Fourth International Conference on Image and Graphics, Chengdu, China, 2007, pp. 149154.
32. Z.X. Liu, H.J. Wang, S.L. Peng, Texture segmentation using directional empirical mode decomposition, in: Proceedings of the IEEE International Conference on Image Processing, Singapore, vol. 1, 2004, pp. 279282.
33. Z. Wu, N.E. Huang, and X. Chen The multi-dimensional ensemble empirical mode decomposition method Advances in Adaptive Data Analysis 1 3 2009 339 372
34. G.L. Xu, X.T. Wang, and X.G. Xu Improved bi-dimensional empirical mode decomposition based on 2D-assisted signals: analysis and application IET Image Processing 5 3 2011 205 221
35. W.R. Croasmun, and R.M.K. Carlson Two-Dimensional NMR Spectroscopy: Applications for Chemists and Biochemists 2nd ed. 1994 Wiley
36. M.N. Nabighian The analytic signal of two-dimensional magnetic bodies with polygonal cross-section: its properties and use for automated anomaly interpretation Geophys 37 3 1972 507 517
37. N.E. Huang, M.C. Wu, S.R. Long, S.S. Shen, W. Qu, P. Gloersen, and K.L. Fan A confidence limit for the empirical mode decomposition and Hilbert spectral analysis Proceedings of the Royal Society, A 459 2003 2317 2345 (Pubitemid 38328337)
38. S.L. Hahn Multidimensional complex signals with single-orthant spectra Proceedings of the IEEE 80 August 1992 1287 1300
39. S.L. Hahn, Hilbert Transforms in Signal Processing, Artech House, 1996.
40. V. Čižek Discrete Hilbert transform IEEE Transactions on Audio and Electroacoustics 18 December 1970 340 343
41. F.E. Burris Matrix formulation of the discrete Hilbert transform IEEE Transactions on Circuits and Systems 22 October 1975 836 838
42. S.C. Pei, and M.H. Yeh Discrete fractional Hilbert transform IEEE Transactions on Circuits and Systems II 47 November 2000 1307 1311
43. J.P. Havlicek, J.W. Havlicek, N.D. Mamuya, A.C. Bovik, Skewed 2D Hilbert transforms and computed AM-FM models, in: Proceedings of the IEEE International Conference on Image Processing, Chicago, USA, vol. 1, 1998, pp. 602606.
44. S.C. Pei, J.J. Ding, The generalized radial Hilbert transform and its applications to 2-D edge detection (any direction or specified directions), in: Proceeding of the IEEE International Conference on Acoustics, Speech and Signal Processing, Hongkong, China, vol. 3, 2003, pp. 357360.
45. G.L. Xu, X.T. Wang, and X.G. Xu Generalized Hilbert transform and its properties in 2D LCT domain Signal Processing 89 2009 1395 1402
46. G.L. Xu, X.T. Wang, X.G. Xu, Extended Hilbert transform for the multidimensional signals, in: Proceedings of the 5-th Visual Information Engineering, Xian, China, 2008, pp. 292297.
47. T. Bülow, and G. Sommer Hypercomplex signals - a novel extension of the analytic signal to the multidimensional case IEEE Transactions on Signal Processing 49 November 2001 2844 2852 (Pubitemid 33048453)
48. M. Felsberg, and G. Sommer The monogenic signal IEEE Transactions on Signal Processing 49 December 2001 3136 3144 (Pubitemid 34035668)
49. J.S. Lim Two-Dimensional Signal and Image Processing 1990 Prentice-Hall
50. J. van Beek matNMR: a flexible toolbox for processing, analyzing and visualizing magnetic resonance data in Matlab Journal of Magnetic Resonance 187 July 2007 19 26
51. W.K. Pratt Digital Image Processing 4th ed. 2007 Wiley-Interscience
52. A. McCabe, T. Caelli, G. West, and A. Reeves Theory of spatiochromatic image encoding and feature extraction Journal of the Optical Society America A 17 October 2000 1744 1754
53. T. Stathaki Image Fusion: Algorithms and Applications 2008 Elsevier Ltd.
54. W.J. Carper, T.M. Lillesand, and R.W. Kiefer The use of intensity-hue-saturation transformations for merging SPOT panchromatic and multispectral image data Photogrammetric Engineering and Remote Sensing 56 April 1990 459 467 (Pubitemid 20705842)
55. R.C. Gonzalez, and R.W. Woods Digital Image Processing 3rd ed. 2008 Pearson
56. Z. Zhang, and R.S. Blum A categorization of multiscale-decomposition- based image fusion schemes with a performance study for a digital camera application Proceedings of the IEEE 87 August 1999 1315 1326
57. H. Zhao, Q. Li, and H.J. Feng Multi-focus color image fusion in the HSI space using the sum-modified-Laplacian and a coarse edge map Image and Vision Computing 26 26 2008 1285 1295
58. Y. Zheng, and Z. Qin Region-based image fusion method using bidimensional empirical mode decomposition Journal of Electronic Imaging 18 1 2009
59. J. Zhao, B.X. Bo, F. Liu, Multi-focus image fusion based on NLEMD, in: Proceedings of the IEEE International Conference on Automation and Logistics, Qingdao, China, 2008, pp. 22662270.
60. H. Hariharan, A. Gribok, M.A. Abidi, and A. Koschan Image fusion and enhancement via empirical mode decomposition Journal of Pattern Recognition Research 1 2006 16 31