Adaptive fuzzy morphological filtering of impulse noise in images

Multidimensional Systems and Signal Processing

Volumn 11, Issue 3, 2000, Pages 233-256

  Oh, Jinsung ^a   Chaparro, Luis F ^b  

^a SAMSUNG Electronics   (South Korea)

^b University of Pittsburgh   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; FUZZY SETS; IMAGE ENHANCEMENT; IMAGE PROCESSING; IMAGE QUALITY; LEARNING SYSTEMS; MATHEMATICAL MORPHOLOGY; MEMBERSHIP FUNCTIONS; NEURAL NETWORKS; SPURIOUS SIGNAL NOISE;

FILTER DESIGN; FUZZY MORPHOLOGICAL FILTERING; IMPULSE NOISE;

NONLINEAR FILTERING;

EID: 0034224906     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008486530629     Document Type: Article

References (29)

1. G. R. Arce, N. C. Gallagher, and T. Nodes, "Median Filters: Theory and Applications," in T. Huang, (ed.), Advances in Computer Vision and Image Processing, Greenwich, CT: JAI, 1986.
2. P. D. Wendt, E. J. Coyle, and N. C. Gallagher, "Stack Filters," IEEE Trans. Acoustics, Speech and Signal Proc., vol. 34, 1986, pp. 898-911.
3. J. P. Serra, Image Analyis and Mathematical Morphology, New York: Academic Press, 1982.
4. P. Maragos and R. W. Schafer, "Morphological Filters, Part I: Their Set Theoretic Analysis and Relations to Linear Shift-invariant Filters," IEEE Trans. Acoustics, Speech and Signal Proc., vol. 35, 1987, pp. 1153-1169.
5. P. Maragos and R. W. Schafer, "Morphological Filters, Part II: Their Relation to Median, Order-Statistic and Stack Filters," IEEE Trans. Acoustics, Speech and Signal Proc., vol. 35, 1987, pp. 1170-1184.
6. P. Maragos and R. W. Schafer, "Morphological Systems for Multidimensional Signal Processing," Proc. IEEE, vol. 78, no. 4, April 1990, pp. 690-710.
7. I. Pitas and N. Venetsanapoulos, Non-Linear Digital Filters: Principles and Applications, Boston, MA: Kluwer, 1990.
8. J. Astola, Fundamentals of Nonlinear Digital Filters, Boca Raton, FL: CRC Press, 1997.
9. P. Salembier and L. Jaquenoud, "Adaptive Morphological Multiresolution Decomposition," 1991 SPIE Image Algebra and Morphological Image Process. II, vol. 1568, 1991, pp. 26-37.
10. P. Salembier, "Adaptive Rank Order Based Filters," Signal Processing, vol. 12, no. 2, Apr. 1992, pp. 1-25.
11. B. Singh and M. U. Siddiqi, "Statistical Optimization of Gray-Scale Morphological Filters," IEEE Inter. Conf. on Image Process., vol. 3, 1996, pp. 33-36.
12. P. Salembier, "Structuring Element Adaptation for Morphological Filters," J. Visual Comm. Image Representation, no. 2, Jun. 1992, pp. 115-136.
13. Q. Wang and Y. Neuvo, "Adaptation of Grayscale Morphological Filters," 1993 SPIE Nonlinear Image Process. IV, vol. 1902, 1993, pp. 2-7.
14. K. H. Lee, A. Morales and S. J. Ko, "Adaptive Basis Matrix for the Morphological Function Processing Opening and Closing," IEEE Trans. Image Process, vol. 6, no. 5, May 1997, pp. 769-774.
15. L. F. C. Pessoa and P. Maragos, "MRL-Filters: A General Class of Nonlinear Systems and their Optimal Design for Image Processing," IEEE Trans. Image Proc., vol. 7, Jul. 1998, pp. 966-978.
16. L. A. Zadeh, "Fuzzy Sets," Inform. Control, vol. 8, 1965, pp. 338-353.
17. D. Sinha and E. R. Dougherty, "Fuzzy Mathematical Morphology," J. Visual Comm. Image Representation, no. 3, Sept. 1992, pp. 286-302.
18. D. Sinha and E. R. Dougherty, "A General Axiomatic Theory of Intrinsically Fuzzy Mathematical Morphologies," IEEE Trans. Fuzzy Systems, vol. 3, no. 4, Nov. 1995, pp. 389-403.
19. I. Bloch and H. Maitre, "Fuzzy Mathematical Morphologies: A Comparative Study," Pattern Recognition, vol. 28, no. 9, 1995, pp. 1341-1387.
20. X. Zhang, C. C. Hang, S. Tan and P. Z. Wang, "The Min-Max Function Differentiation and Training of Fuzzy Neural Networks," IEEE Trans. Neural Networks, vol. 7, no. 5, Sept. 1996, pp. 1139-1150.
21. W. Pedrycz, "Neurocomputations in Relational Systems," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-13, no. 3, Mar. 1991, pp. 289-297.
22. A. Morales and S. J. Ko, "Efficient Neural Network Implementation of Morphological Operations," 1992 SPIE Nonlinear Image Process. III, vol. 1658, 1992, pp. 276-286.
23. J. L. Davidson and F. Hummer, "Morphology Neural Networks: An Introduction with Applications," Circuit Systems Signal Process., vol. 12, no. 2, 1993, pp. 177-210.
24. L. F. C. Pessoa and P. Maragos, "Morphological Rank Neural Networks and Their Adaptive Optimal Design for Image Processing," Proc. ICASSP, vol. 6, Atlanta, GA, May 1996, pp. 3398-3401.
25. B. Widrow and M. A. Lehr, "30 Years of Adaptive Neural Networks: Perceptron, Madaline, and Backpropagation," Proc. IEEE, vol. 78, no. 9, Sep. 1990, pp. 1415-1442.
26. D. Wang, V. Haese-Coat, A. Bruno and J. Ronsin, "Some Statistical Properties of Mathematical Morphology," IEEE Trans. Signal Process, vol. 43, no. 8, Aug. 1995, pp. 1955-1965.
27. E. Abreu, M. Lightstone, S. K. Mitra and K. Arakawa, "A New Efficient Approach for the Removal of Impulse Noise from Highly Corrupted Images," IEEE Trans. Image Process., vol. 5, no. 6, Jun. 1992, pp. 1012-1025.
28. V. S. Sprinivasan and N. N. Murthy, "Detection of Sigular Points in Fingerprint Images," Pattern Recognition, vol. 25, no. 2, 1992, pp. 139-153.
29. J. Song and E. Delp, "The Analysis of Morphological Filters with Multiple Structuring Elements," Computer Vision, Graphics, and Image Process., vol. 50, 1990, pp. 308-328.