Variable structuring element based fuzzy morphological operations for single viewpoint omnidirectional images

Pattern Recognition

Volumn 40, Issue 12, 2007, Pages 3578-3596

  Strauss, Olivier ^a   Comby, Frédéric ^a  

^a LIRMM   (France)

Author keywords

Choquet and Sugeno fuzzy integrals; Filtering; Mathematical morphology; Omnidirectional images; Sampling; Single viewpoint; Standardized fuzzy partition; Variable structuring element

Indexed keywords

DIGITAL CAMERAS; IMAGE ANALYSIS; OBJECT RECOGNITION; PIXELS; PROJECTION SYSTEMS; REAL TIME SYSTEMS; SAMPLING;

CATADIOPTRIC; FUZZY INTEGRALS; GRAY-LEVEL MORPHOLOGY;

FUZZY SETS;

EID: 34547656089     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2007.05.003     Document Type: Article

References (20)

1. Serra J. Image Analysis and Mathematical Morphology (1982), Academic Press, London
2. Bloch I., and Mai{dotless}̂tre H. Fuzzy mathematical morphologies: a comparative study. Pattern Recognition 28 9 (1995) 1341-1387
3. Daniilidis K., Makadia A., and Bülow T. Image processing in catadioptric planes. spatiotemporal derivatives and optical flow computation. Proceedings of Omnivis 2002, IEEE Workshop on Omnidirectional Vision. Copenhagen, Denmark (2002) 3-26
4. Ieng S., Benosman R., and Devars J. An efficient dynamic multi-angular feature points matcher for catadioptric views. Proceedings of Omnivis 2003, Workshop on Omnidirectional Vision and Camera Networks. Madison, USA (2003)
5. Nayar S. Omnidirectional Vision. Proceedings of Eighth International Symposium on Robotics Research (ISRR). Shonan, Japan (1997)
6. S. Peleg, M. Ben-Ezra, Stereo panorama with a single camera, in: Proceedings of the Computer Vision and Pattern Recognition Conference, 1999, pp. 395-401.
7. H. Nanda, R. Cutler, Practical calibrations for a real-time digital omnidirectional camera, Technical Sketches, Computer Vision and Pattern Recognition, Hawaii, US, 2001.
8. Baker S., and Nayar S.K. Single viewpoint catadioptric camera. Panoramic Vision: Sensor Theory and Application, Monographs in Computer Science (2001), Springer, New York 39-72 (Chapter 4)
9. R. Swaminathan, M.D. Grossberg, S.K. Nayar, Non-Single Viewpoint Catadioptric Cameras: Geometry and Analysis, Columbia University TR, CUCS-004-01, 2001.
10. C. Geyer, K. Daniilidis, Catadioptric projective geometry, Int. J. Comput. Vision (43) (2001) 223-243.
11. Faugeras O. Three-Dimensional Computer Vision: A Geometric Viewpoint (1993), MIT press, Cambridge, MA
12. Dubois D., Foulloy L., Mauris G., and Prade H. Probability-possibility transformation, triangular fuzzy sets, and probabilistic inequalities. Reliable Comput. 10 (2004) 273-297
13. Demigny D. On optimal linear filtering for edge detection. IEEE Trans. Image Process. 11 7 (2002) 728-737
14. Marichal J.-L. An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria. IEEE Trans. Fuzzy Syst. 8 6 (2000) 800-807
15. Comby F., Strauss O., and Aldon M. Fuzzy approach of motion estimation. Actes de Fuzz'ieee01: 10th IEEE International Conference on Fuzzy Systems. Melbourne, Australia (2001)
16. Dubois D., and Prade H. Possibility Theory: An Approach to Computerized Processing of Uncertainty (1985), Plenum Press, London
17. Chateauneuf A., and Jaffray J. Some characterizations of lower probabilities and other monotone capacities through the use of Mœbius inversion. Math. Soc. Sci. 17 (1989) 263-283
18. Maragos P., Tzouvaras V., and Stamou G. Synthesis and applications of lattice image operators based on fuzzy norms. Proceedings of the International Conference on Image Processing (ICIP-2001). Thessaloniki, Greece (2001) 521-524
19. Maragos P., and Ziff R.D. Threshold superposition in morphological image analysis systems. IEEE Trans. Pattern Anal. Mach. Intell. 12 (1990) 498-504
20. Deng T., and Heijmans H. Grey-scale morphology based on fuzzy logic. J. Math. Imaging Vision 16 2 (2002) 155-171