Fuzzy adjacency between image objects

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 5, Issue 6, 1997, Pages 615-653

  Bloch, Isabelle ^a   Maître, Henri ^a   Anvari, Morteza ^b  

^a CNRS   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Fuzzy adjacency; Fuzzy image processing; Fuzzy mathematical morphology

Indexed keywords

EID: 0039591290     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488597000476     Document Type: Article

References (33)

1. J. C. Bezdek. Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, New-York, 1981.
2. I. Bloch. Distances in Fuzzy Sets for Image Processing derived from Fuzzy Mathematical Morphology. In Information Processing and Management of Uncertainty in Knowledge-Based Systems, volume III, pages 1307-1312, Granada, Spain, July 1996.
3. I. Bloch and H. Maître. Fuzzy Distances and Image Analysis. In ACM Symposium on Applied Computing, pages 570-574, Nashville, February 1995.
4. I. Bloch and H. Maître. Fuzzy Mathematical Morphologies: A Comparative Study. Pattern Recognition, 28(9):1341-1387, 1995.
5. I. Bloch and H. Maître. Fusion of Image Information under Imprecision. In B. Bouchon-Meunier, editor, Aggregation and Fusion of Imperfect Information, Series Studies in Fuzziness. Physica Verlag, Springer, 1997.
6. I. Bloch, C. Pellot, F. Sureda, and A. Herment. Fuzzy Modelling and Fuzzy Mathematical Morphology applied to 3D Reconstruction of Blood Vessels by Multi-Modality Data Fusion. In D. Dubois R. Yager and H. Prade, editors, Fuzzy Set Methods in Information Engineering: A Guided Tour of Applications, chapter 5, pages 93-110. John Wiley & Sons, New-York, 1996.
7. B. Bouchon-Meunier, M. Rifqi, and S. Bothorel. Towards General Measures of Comparison of Objects. Fuzzy Sets and Sytems, 84(2):143-153, September 1996.
8. N. Bourbaki. Topologie générale, volume I. Hermann, Paris, 1971.
9. J. M. Chassery and A. Montanvert. Géométrie discrète. Hermes, Paris, 1991.
10. C. Demko and E. H. Zahzah. Image Understanding using Fuzzy Isomorphism of Fuzzy Structures. In IEEE Int. Conf. on Fuzzy Systems, pages 1665-1672, Yokohama, Japan, March 1995.
11. D. Dubois and M.-C. Jaulent. A General Approach to Parameter Evaluation in Fuzzy Digital Pictures. Pattern Recognition Letters, 6:251-259, 1987.
12. D. Dubois and H. Prade. A Review of Fuzzy Set Aggregation Connectives. Information Sciences, 36:85-121, 1985.
13. D. Dubois and H. Prade. Combination of Information in the Framework of Possibility Theory. In M. Al Abidi et al., editor, Data Fusion in Robotics and Machine Intelligence. Academic Press, 1992.
14. W. Hurewicz and H. Wallman. Dimension Theory. Princeton University Press, Princeton, New-Jersey, 1948.
15. G. Krieger and C. Zetzsche. Nonlinear Image Operators for the Evaluation of Local Intrinsic Dimensionality. IEEE Trans. on Image Processing, 5(6):1026-1042, 1996.
16. R. Krishnapuram and J. M. Keller. Fuzzy Set Theoretic Approach to Computer Vision: an Overview. In IEEE Int. Conf. on Fuzzy Systems, pages 135-142, San Diego, CA, 1992.
17. R. Krishnapuram, J. M. Keller, and Y. Ma. Quantitative Analysis of Properties and Spatial Relations of Fuzzy Image Regions. IEEE Transactions on Fuzzy Systems, 1(3):222-233, 1993.
18. S.-Y. Lee and F.-J. Hsu. Spatial Reasoning and Similarity Retrieval of Images using 2D C-String Knowledge Representation. Pattern Recognition, 25(3):305-318, 1992.
19. J. F. Mangin, I. Bloch, J. Lopez-Krahe, and V. Frouin. Chamfer Distances in Anisotropic 3D Images. In EUSIPCO 94, pages 975-978, Edinburgh, September 1994.
20. S. K. Pal. Fuzzy Set Theoretic Measures for Automatic Feature Evaluation. Information Science, 64:165-179, 1992.
21. M. Rifqi. Constructing Prototypes from Large Databases. In Information Processing and Management of Uncertainty in Knowledge-Based Systems, volume I, pages 301-306, Granada, Spain, July 1996.
22. A. Rosenfeld. Adjacency in Digital Pictures. Information and Control, 26:24-33, 1974.
23. A. Rosenfeld. Fuzzy Digital Topology. Information and Control, 40:76-87, 1979.
24. A. Rosenfeld. The Fuzzy Geometry of Image Subsets. Pattern Recognition Letters, 2:311-317, 1984.
25. A. Rosenfeld and A. C. Kak. Digital Picture Processing. Academic Press, New-York, 1976.
26. A. Rosenfeld and R. Klette. Degree of Adjacency or Surroundness. Pattern Recognition, 18(2):169-177, 1985.
27. J. Serra. Image Analysis and Mathematical Morphology. Academic Press, London, 1982.
28. D. Sinha and E. R. Dougherty. Fuzzification of Set Inclusion: Theory and Applications. Fuzzy Sets and Systems, 55:15-42, 1993.
29. A. Tversky. Features of Similarity. Psychological Review, 84(4):327-352, 1977.
30. J. K. Udupa and S. Samarasekera. Fuzzy Connectedness and Object Definition. In SPIE Medical Imaging, volume 2431, pages 2-11, San Diego, CA, February 1995.
31. J. K. Udupa and S. Samarasekera. Fuzzy Connectedness and Object Definition: Theory, Algorithms, and Applications in Image Segmentation. Graphical Models and Image Processing, 58(3):246-261, 1996.
32. L. A. Zadeh. Similarity Relations and Fuzzy Orderings. Information Sciences, 3:177-200, 1971.
33. L. A. Zadeh. The Concept of a Linguistic Variable and its Application to Approximate Reasoning. Information Sciences, 8:199-249, 1975.