A multiscale edge detection algorithm based on wavelet domain vector hidden Markov tree model

Pattern Recognition

Volumn 37, Issue 7, 2004, Pages 1315-1324

  Sun, Junxi ^a   Gu, Dongbing ^b   Chen, Yazhu ^a   Zhang, Su ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b UNIVERSITY OF ESSEX   (United Kingdom)

Author keywords

Edge detection; Expectation maximization (EM); Hidden Markov tree (HMT) models; Wavelets

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; STATISTICAL METHODS; WAVELET TRANSFORMS;

IMAGE EDGES; MULTIDIRECTIONAL WAVELET COEFFICIENTS; WAVELET DOMAIN VECTOR HIDDEN MARKOV TREE (WD-VHMT);

EDGE DETECTION;

PATTERN RECOGNITION;

EID: 2442534762     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2003.11.006     Document Type: Article

References (25)

1. Torre V. Poggio T.A. On edge detection IEEE Trans. Pattern Anal. Mach. Intell. 8 2 1986 147-163
2. Aydin T. Yemez Y. Anarim E. Sankur B. Multidirectional and multiscale edge detection via M-band wavelet transform IEEE Trans. Image Process. 5 9 1996 1371-1377
3. D. Ziou, S. Tabbone, Edge Detection Techniques-An Overview, Technical Report No. 195, Department of Mathematics and Informatique, Universit de Sherbrooke, 1997.
4. B. Gunsel, E. Panayirci, A.K. Jain, Boundary detection using multiscale Markov random fields pattern recognition, Proceedings of the 12th International Conference on Computer Vision and Image Processing, Jerusalem, Israel, Vol. 2, 1994, pp. 173-177.
5. Canny J. A computational approach to edge detection IEEE Trans. Pattern Anal. Mach. Intell. 8 6 1986 679-698
6. Marr D. Hildreth E.C. Theory of edge detection Proc. R. Soc. London B207 1980 187-217
7. Lu Y. Jain R.C. Reasoning about edges in scale space IEEE Trans. Pattern Anal. Mach. Intell. 14 4 1992 450-468
8. Mallat S. Zhong S. Characterization of signals from multiscale edges IEEE Trans. Pattern Anal. Mach. Intell. 14 7 1992 710-732
9. Mallat S. Hwang W.L. Singularity detection and processing with wavelets IEEE Trans. Inf. Theory 38 2 1992 617-643
10. Mallat S. Zero-crossing of a wavelet translation IEEE Trans. Inf. Theory 37 4 1991 1019-1033
11. R.D. Nowak, Multiscale hidden Markov models for Bayesian image analysis, Technical Report, MSU-ENGR-004-98, Michigan State University, 1998.
12. Crouse M. Nowak R. Baraniuk R. Wavelet-based statistical signal processing using hidden Markov models IEEE Trans. Signal Process. 4 6 1998 886-902
13. Rabiner L.R. A Tutorial on hidden Markov models and selected applications in speech recognition Proc. IEEE 77 2 1989 257-285
14. J. Romberg, H. Choi, R. Baraniuk, Shift-invariant denoising using wavelet-domain hidden Markov Trees, Proceedings of the 33rd Asilomar Conference on Signals Systems and Computers, Pacific Grove, CA, October 1999.
15. J.K. Romberg, H. Choi, R. Baraniuk, Bayesian tree structured image modeling using Wavelet-Domain Hidden Markov Model, Proceedings of SPIE, Vol. 3816, Denver, CO, July 1999, pp. 31-44.
16. H. Choi, R. Baraniuk, Image segmentation using wavelet domain classification, Proceedings of SPIE, Vol. 3816, Denver, CO, July 1999, pp. 306-320.
17. Choi H. Baraniuk R. Multiscale image segmentation using Wavelet-Domain Hidden Markov Models IEEE Trans. Image Process. 10 9 2001 1309-1321
18. G. Fan, X. Xia, Wavelet-based statistical image processing using hidden Markov tree model, Proceedings of the Conference on Information Science and Systems, Princeton University, March 15-17, 2000.
19. G. Fan, X. Xia, Maximum likelihood texture analysis and classification using Wavelet-Domain Hidden Markov Models, Proceedings of the 34th Asilomar Conference on Signals, Systems and Computers, Vol. 2(2), 2000, pp. 921-925.
20. Laferté J. Pérez P. Heitz F. Discrete Markov image modeling and inference on the quad-tree IEEE Trans. Image Process. 9 3 2000 390-404
21. E.P. Simoncelli, J. Portilla, Texture characterization via joint statistics of wavelet coefficient magnitudes, Proceedings of IEEE International Conference on Image Processing, Oct 4-7, Chicago, Illinois, 1998.
22. Cheng H. Bouman C.A. Multiscale Bayesian segmentation using a trainable context model IEEE Trans. Image Process. 10 4 2001 511-525
23. M.N. Do, A.C. Lozano, M. Vetterli, Rotation invariant texture retrieval using steerable wavelet-domain hidden Markov models, Proceedings of SPIE Conference on Wavelet Applications in Signal and Image Processing VIII, San Diego, USA, August 2000.
24. Dempster P. Laird N.M. Rubin D.B. Maximum likelihood from incomplete data via the EM algorithm J. R. Statist. Soc. 39 Ser. B 1977 1-38
25. Hou Y. Song J. Zhou F. Wen C. Yang X. A new document segmentation based on subbands by wavelet domain hidden Markov tree model Chinese J. Electron. 30 8 2002 1180-1183