On genuine connectivity relations based on logical predicates

Proceedings - 14th International conference on Image Analysis and Processing, ICIAP 2007

Volumn , Issue , 2007, Pages 487-492

  Soille, Pierre ^a  

^a JOINT RESEARCH CENTRE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EQUIVALENCE CLASSES; IMAGE ANALYSIS;

CONNECTED COMPONENTS; DEFINITION DOMAINS; EQUIVALENT CLASSES; INTENSITY VALUES; LOGICAL PREDICATES; PIXEL PROCESSING; REGION GROWING; TOTAL ORDERINGS;

PIXELS;

EID: 43049107322     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIAP.2007.4362825     Document Type: Conference Paper

References (19)

1. R. Adams and L. Bischof. Seeded region growing. IEEE Transactions on Pattern Analysis and Machine Intelligence, 16(6):641-647, 1994.
2. N. Ahuja. On detection and representation of multi-scale low-level image structure. ACM Computing Surveys, 27(3):304-306, 1995.
3. E. Breen and R. Jones. Attribute openings, thinnings, and granulometries. Computer Vision and Image Understanding, 64(3):377-389, 1996.
4. C. Brice and C. Fennema. Scene analysis using regions. Artificial Intelligence, 1(3-4):205-226, 1970.
5. D. Brunner and P. Soille. Iterative area filtering of multichannel images. Image and Vision Computing, 25(8): 1352-1364, Aug. 2007. [Available online 7 November 2006].
6. K. Cho and P. Meer. Image segmentation from consensus information. Computer Vision and Image Understanding, 68(1):72-89, Oct. 1997.
7. R. Duda, P. Hart, and D. Stork. Pattern Classification. Wiley Interscience, 2nd edition, 2000.
8. J. Gower and G. Ross. Minimum spanning trees and single linkage cluster analysis. Applied Statistics, 18(1):54-64, 1969.
9. S. Hambrusch, X. He, and R. Miller. Parallel algorithms for gray-scale image component labeling on a mesh-connected computer. In Proc. of the 4th ACM Symposium on Parallel Algorithms and Architectures, pages 100-108, 1992.
10. J. Kruskal. On the shortest spanning subtree of a graph and the traveling salesman problem. Proceedings of the American Mathematical Society, 7(1):48-50, Feb. 1956.
11. F. Meyer and P. Maragos. Morphological scale-space representation with levelings. Lecture Notes in Computer Science, 1682:187-198, Sept. 1999.
12. M. Nagao, T. Matsuyama, and Y. Ikeda. Region extraction and shape analysis in aerial photographs. Computer Graphics and Image Processing, 10(3):195-223, July 1979.
13. A. Rosenfeld. Fuzzy digital topology. Information and Control, 40:76-87, 1979.
14. J. Serra and P. Salembier. Connected operators and pyramids. In E. Dougherty, P. Gader, and J. Serra, editors, Image Algebra and Morphological Image Processing IV, volume SPIE-2030, pages 65-76, July 1993.
15. P. Soille. Morphological image compositing. IEEE Transactions on Pattern Analysis and Machine Intelligence, 28(5):673-683, May 2006.
16. P. Soille. Constrained connectivity for hierarchical image decomposition and simplification. IEEE Trans. on Pattern Analysis and Machine Intelligence, 2007. [Submitted].
17. L. Vincent and P. Soille. Watersheds in digital spaces: an efficient algorithm based on immersion simulations. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(6):583-598, June 1991.
18. Y. Wang and P. Bhattacharya. A theory of parameter-dependent connected components of gray images and segmentation. In Proc. of the 1995 Int. Conf. on Image Processing (Vol. 3), pages 69-72. IEEE Computer Society, 1995.
19. S. Zucker. Region growing: childhood and adolescence. Computer Graphics and Image Processing, 5:382-399, 1976.