Shape connectivity: Multiscale analysis and application to generalized granulometries

Journal of Mathematical Imaging and Vision

Volumn 17, Issue 2, 2002, Pages 109-129

  Tzafestas, Costas S ^a   Maragos, Petros ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Connected operators; Connectivity tree; Generalized granulometries; Hierarchical image representations; Mathematical morphology; Multiscale connectivity measures; Partitions; Reconstruction; Shape analysis; Soilsection image analysis

Indexed keywords

COMPUTER VISION; IMAGE RECONSTRUCTION; IMAGE SEGMENTATION; MATHEMATICAL MORPHOLOGY; MATHEMATICAL OPERATORS; NONLINEAR SYSTEMS; OBJECT RECOGNITION;

GENERALIZED GRANULOMETRIES; MULTISCALE ANALYSIS; MULTISCALE CONNECTIVITY ANALYSIS FRAMEWORK; THEORETICAL FRAMEWORK;

IMAGE ANALYSIS;

EID: 0036761891     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020629402912     Document Type: Article

References (19)

1. U.M. Braga-Neto and J. Goutsias, "Multiresolution connectivity: An axiomatic approach," in Mathematical Morphology and its Applications to Image and Signal Processing, J. Goutsias, L. Vincent, and D.S. Bloomberg (Eds.), Kluwer Academic Publishers: Dordrecht, 2000, (Proceedings of the ISMM'2000).
2. U.M. Braga-Neto and J. Goutsias, "A complete lattice approach to connectivity in image analysis," Tech. Report JHU/ECE 0005, Dept. ECE, Johns Hopkins University, Baltimore, MD, Nov. 2000.
3. H.J.A.M. Heijmans, Morphological Image Operators, Academic Press: San Diego, 1994.
4. H.J.A.M. Heijmans, "Connected morphological operators for binary images," Computer Vision and Image Understanding, Vol. 73, No. 1, pp. 99-120, 1999.
5. B.B. Kimia, A.R. Tannenbaum, and S.W. Zucker, "Shapes, shocks, and deformations I: The components of two-dimensional shape and the reaction-diffusion space," Int. J. Computer Vision, Vol. 15, pp. 189-224, 1995.
6. J.J. Koenderink and A.J. van Doorn, "Dynamic shape," Biological Cybernetics, Vol. 53, pp. 383-396, 1986.
7. B.S. Manjuna and R. Chellappa, "Unsupervised texture segmentation using Markov random field models," IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 13, No. 5 pp. 478-482, 1991.
8. P. Maragos, "Pattern spectrum and multiscale shape representation," IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 11, No. 7 pp. 701-716, 1989.
9. P. Maragos, "Morphological signal and image processing," in The Digital Signal Processing Handbook, V.K. Madisetti and D.B Williams (Eds.), CRC Press/IEEE Press: Bocaraton, New York, Ch. 74, 1999, pp. 1-30.
10. G. Matheron, Random Sets and Integral Geometry, Wiley: New York, 1975.
11. C. Ronse, "Set-theoretical algebraic approaches to connectivity in continuous or digital spaces," Journal of Mathematical Imaging and Vision, Vol. 8, pp. 41-58, 1998.
12. P. Salembier, A. Oliveras, and L. Garrido, "Antiextensive connected operators for image and sequence processing," IEEE Trans. Image Processing, Vol. 7, No. 4, pp. 555-570, 1998.
13. P. Salembier and J. Serra, "Flat zones filtering, connected operators, and filters by reconstruction," IEEE Trans. Image Processing, Vol. 4, No. 8, pp. 1153-1160, 1995.
14. J. Serra, Image Analysis and Mathematical Morphology: Theoretical Advances, Academic Press: New York, 1988.
15. J. Serra, "Connections for sets and functions," Fundamenta Informaticae, Vol. 41, Nos. 1, 2, pp. 147-186, 2000.
16. K. Sivakumar and J. Goutsias, "Morphologically constrained GRFs: Applications to texture synthesis and analysis," IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 21, No. 2, pp. 99-113, 1999.
17. A. Sofou, C. Tzafestas, and P. Maragos, "Segmentation of soil-section images using connected operators," in Proc. IEEE Intern. Conf. on Image Processing (ICIP'2001), Thessaloniki, Greece, Sep. 2001.
18. L. Vincent, "Morphological grayscale reconstruction in image analysis: Applications and efficient algoriths," IEEE Trans. Image Processing, Vol. 2, No. 2, pp. 176-201, 1993.
19. L. Vincent, "Granulometries and opening trees," Fundamenta Informaticae, Vol. 41, No. 1, 2, pp. 57-90, 2000.