Theoretical aspects of vertically invariant gray-level morphological operators and their application on adaptive signal and image filtering

IEEE Transactions on Signal Processing

Volumn 47, Issue 4, 1999, Pages 1049-1060

  Chen, Chu Song ^a,b   Wu, Ja Ling ^a,b   Hung, Yi Ping ^a,b  

^a INSTITUTE OF INFORMATION SCIENCE   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; DIGITAL FILTERS; MATHEMATICAL MORPHOLOGY; MATHEMATICAL OPERATORS; SET THEORY; SIGNAL PROCESSING; SPURIOUS SIGNAL NOISE;

ADAPTIVE SIGNAL PROCESSING; ADAPTIVE SIGNAL SMOOTHING; PROGRESSIVE UMBRA FILLING; VERTICALLY INVARIANT MORPHOLOGICAL FILTERS;

ADAPTIVE FILTERING;

EID: 0033114998     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.752602     Document Type: Article

References (33)

1. P. J. Besl, Surfaces in Range Image Understanding. New York: Springer-Verlag, 1988, sec. 4.1.
2. C. S. Chen, Y. P. Hung, and J. L. Wu, "Space-varying mathematical morphology for adaptive smoothing of 3D range data," in Proc. First Asia Conf. Comput. Vision, Osaka, Japan, 1993, pp. 39-42.
3. _ , "Extraction of corner-edge-surface structure from range images using mathematical morphology," IEICE Trans. Inform. Syst., Special Issue on Machine Vision Applications, vol. E78-D, pp. 1636-1641 1995.
4. _, "A 3D range data acquisition system combining laser lighting and stereo vision," J. Chin. Inst. Elect. Eng., vol. 3, no. 2, p. 157-168, 1996.
5. C. S. Chen, J. L. Wu, and Y. P. Hung, "Theoretical aspects of the gray-level morphological V-opening and its applications on adaptive
6. signal filtering," in Proc. 1995 IEEE Workshop Nonlinear Signal Image Process., Noes Marmaras, Halkidiki, Greece, 1995, pp. 42-45.
7. _, "Statistical analysis of space-varying morphological openings with flat structuring elements," IEEE Trans. Signal Processing, vol. 44, pp. 1010-1014, Apr. 1996.
8. M. H. Chen and P. F. Yan, "A multiscaling approach based on morphological filtering," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp. 694-700, 1989.
9. E. J. Coyle, J. H. Lin, and M. Gabbouj, "Optimal stack filtering and the estimation and structural approaches to image processing," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 2037-2066, 1989.
10. J. D. Foley, A. V. Dam, S. K. Feiner, and J. F. Hughes, Computer Graphics, Principles and Practice, 2nd. ed. Reading, MA: Addison-Wesley, 1990.
11. C. R. Giardina and E. R. Dougherty, Morphological Methods in Image and Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1988.
12. R. C. Gonzales and R. E. Woods, Digital Image Processing. Reading, MA: Addison-Wesley, 1992.
13. W. E. L. Grimson and T. Pavlidis, "Discontinuous detection for visual surface reconstruction," Comput. Vis., Graph., Image Process., vol. 30, pp. 316-330, 1985.
14. R. M. Haralick and L. G. Shapiro, Computer and Robot Vision, vol. 1. Reading, MA: Addison-Wesley, 1992, ch. 5.
15. H. J. A. M. Heijmans, "Connected morphological operations for binary images," from http://www.cwi.nl/ftp/morphology/report/, 1997.
16. H. J. A. M. Heijmans and C. Ronse, "The algebraic basis of mathematical morphology, I. Dilations and erosions," Comput. Vis., Graph., Image Process., vol. 50, pp. 245-295, 1990.
17. R. Krishnapuram and S. Gupta, "Morphological methods for detection and classification of edges in range images," J. Math. Imag. Vision, vol. 2, pp. 351-375, 1992.
18. S. Z. Li, "On discontinuity-adaptive smoothness priors in computer vision," IEEE Trans. Pattern Anal. Machine Intell., vol. 17, pp. 576-586, 1995.
19. P. Maragos, "A representation theory for morphological image and signal processing," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp. 586-599, 1989.
20. _, "Pattern spectrum and multiscale shape representation," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp. 701-716, 1989.
21. G. A. Mastin, "Adaptive filters for digital image noise smoothing: An evaluation," Comput. Vis., Graph., Image Process., vol. 31, pp. 103-120, 1985.
22. A. Morales and R. Acharya, "Non-linear multiscale filtering using mathematical morphology," in Proc. 1992 IEEE Comput. Soc. Conf. Comput. Vision Pattern Recogn., CVPR, Champaign, IL, 1992, pp. 572-578.
23. _, "Statistical analysis of morphological openings," IEEE Trans. Signal Processing, vol. 41, pp. 3052-3056, 1993.
24. M. Niedzwiecki and W. A. Sethares, "Smoothing of discontinuous signals: The competitive approach," IEEE Trans. Signal Processing, vol. 43, pp. 1-13, Jan. 1995.
25. R. A. Peters, II, "A new algorithm for image noise reduction using mathematical morphology," IEEE Trans. Image Processing, vol. 4, pp. 554-568, Apr. 1995.
26. S. M. Philippe, J. S. Chen, and G. Medioni, "Adaptive smoothing: A general tool for early vision," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 514-529, 1991.
27. M. Rabbani and P. W. Jones, Digital Image Compression Techniques. Bellingnam, WA: SPIE, 1991.
28. A. Restrepo and A. C. Bovik, "Adaptive trimmed mean filters for image restoration," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 1326-1337, 1988.
29. C. Ronse and H. J. A. M. Heijmans, "The algebraic basis of mathematical morphology, II. Openings and closings," CVGIP: Image Understanding, vol. 54, pp. 74-97, 1991.
30. J. Serra, Ed., Image Analysis and Mathematical Morphology, Vol. 2, Theoretical Advances. New York: Academic, 1988.
31. J. Song and E. J. Delp, "The analysis of morphological filters with multiple structuring elements," Comput. Vis., Graph., Image Process., vol. 50, pp. 308-328, 1990.
32. D. C. C. Wang, A. H. Vagnucci, and C. C. Li, "Gradient inverse weighted smoothing scheme and the evaluation of its performance," Comput. Vis., Graph., Image Process., vol. 15, pp. 167-181, 1981.
33. D. Wang, V. Haese-Coat, A. Bruno, and J. Ronsin, "Texture classification and segmentation based on iterative morphological decomposition," J. Visual Commun. Image Represent., vol. 4, pp. 197-214, 1993.