Fuzzy Spatial Relationships for Model-Based Pattern Recognition in Images and Spatial Reasoning Under Imprecision

1. Bloch, I., Maître, H.: Fuzzy Mathematical Morphologies: A Comparative Study. Pattern Recognition 28, 1341–1387 (1995)

   Article  MathSciNet  Google Scholar 

2. Bloch, I.: Mathematical Morphology and Spatial Relationships: Quantitative, Semi-Quantitative and Symbolic Settings. In: Sztandera, L., Matsakis, P. (eds.) Applying Soft Computing in Defining Spatial Relationships, pp. 63–98. Springer, Heidelberg (2002)

   Chapter  Google Scholar 

3. Rosenfeld, A., Kak, A.C.: Digital Picture Processing. Academic Press, New York (1976)

   MATH  Google Scholar 

4. Bloch, I., Maître, H., Anvari, M.: Fuzzy Adjacency between Image Objects. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 5, 615–653 (1997)

   Article  MathSciNet  MATH  Google Scholar 

5. Bloch, I.: On Fuzzy Distances and their Use in Image Processing under Imprecision. Pattern Recognition 32, 1873–1895 (1999)

   Article  Google Scholar 

6. Miyajima, K., Ralescu, A.: Spatial Organization in 2D Segmented Images: Representation and Recognition of Primitive Spatial Relations. Fuzzy Sets and Systems 65, 225–236 (1994)

   Article  Google Scholar 

7. Keller, J.M., Wang, X.: Comparison of Spatial Relation Definitions in Computer Vision. In: ISUMA-NAFIPS 1995, College Park, MD, pp. 679–684 (1995)

   Google Scholar 

8. Matsakis, P., Wendling, L.: A NewWay to Represent the Relative Position between Areal Objects. IEEE Trans. on Pattern Analysis and Machine Intelligence 21, 634–642 (1999), Fuzzy Spatial Relationships for Model-Based Pattern Recognition 173

   Article  Google Scholar 

9. Bloch, I.: Fuzzy Relative Position between Objects in Image Processing: a Morphological Approach. IEEE Transactions on Pattern Analysis and Machine Intelligence 21, 657–664 (1999)

   Article  Google Scholar 

10. Dubois, D., Prade, H., Testemale, C.: Weighted Fuzzy Pattern Matching. Fuzzy Sets and Systems 28, 313–331 (1988)

    Article  MathSciNet  MATH  Google Scholar 

11. Vieu, L.: Spatial Representation and Reasoning in Artificial Intelligence. In: Stock, O. (ed.) Spatial and Temporal Reasoning, pp. 5–41. Kluwer, Dordrecht (1997)

    Chapter  Google Scholar 

12. Bouchon-Meunier, B., Rifqi, M., Bothorel, S.: Towards General Measures of Comparison of Objects. Fuzzy Sets and Systems 84, 143–153 (1996)

    Article  MathSciNet  MATH  Google Scholar 

13. Perchant, A., Bloch, I.: Fuzzy Morphisms between Graphs. Fuzzy Sets and Systems 128, 149–168 (2002)

    Article  MathSciNet  MATH  Google Scholar 

14. Perchant, A., Boeres, C., Bloch, I., Roux, M., Ribeiro, C.: Model-based Scene Recognition Using Graph Fuzzy Homomorphism Solved by Genetic Algorithm. In: GbR 1999 2nd International Workshop on Graph-Based Representations in Pattern Recognition, Castle of Haindorf, Austria, pp. 61–70 (1999)

    Google Scholar 

15. Bengoetxea, E., Larranaga, P., Bloch, I., Perchant, A., Boeres, C.: Inexact Graph Matching by Means of Estimation of Distribution Algorithms. Pattern Recognition 35, 2867–2880 (2002)

    Article  MATH  Google Scholar 

16. Cesar, R., Bengoetxea, E., Bloch, I.: Inexact Graph Matching using Stochastic Optimization Techniques for Facial Feature Recognition. In: International Conference on Pattern Recognition ICPR 2002, Québec, vol. 2, pp. 465–468 (2002)

    Google Scholar 

17. Bloch, I.: Information Combination Operators for Data Fusion: A Comparative Review with Classification. IEEE Transactions on Systems, Man, and Cybernetics 26, 52–67 (1996)

    Article  Google Scholar 

18. Géraud, T., Bloch, I., Maître, H.: Atlas-guided Recognition of Cerebral Structures in MRI using Fusion of Fuzzy Structural Information. In: CIMAF 1999 Symposium on Artificial Intelligence, La Havana, Cuba, pp. 99–106 (1999)

    Google Scholar 

19. Bloch, I., Géraud, T., Maître, H.: Representation and Fusion of Heterogeneous Fuzzy Information in the 3D Space for Model-Based Structural Recognition – Application to 3D Brain Imaging. Artificial Intelligence Journal 148, 141–175 (2003)

    Article  MathSciNet  MATH  Google Scholar 

20. Colliot, O.: Représentation, évaluation et utilisation de relations spatiales pour l’interprétation d’images, application à la reconnaissance de structures anatomiques en imagerie médicale. PhD thesis, Ecole Nationale Supérieure des Télécommunications (2003)

    Google Scholar 

21. Bloch, I., Saffiotti, A.: On the Representation of Fuzzy Spatial Relations in Robot Maps. In: IPMU 2002, Annecy, France, vol. III, pp. 1587–1594 (2002)

    Google Scholar 

Download references