메뉴 건너뛰기




Volumn 19, Issue 1, 2003, Pages 5-31

A theoretical tour of connectivity in image processing and analysis

Author keywords

Connectivity classes; Fuzzy connectivity; Hyperconnectivity; Image analysis; Mathematical morphology graph theoretic connectivity; Topological connectivity

Indexed keywords

FUZZY SETS; GRAPH THEORY; IMAGE CODING; IMAGE SEGMENTATION; MATHEMATICAL MORPHOLOGY; PATTERN RECOGNITION; SIGNAL FILTERING AND PREDICTION;

EID: 0041340844     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024476403183     Document Type: Review
Times cited : (59)

References (44)
  • 1
    • 0042907626 scopus 로고    scopus 로고
    • I type of strong connectivity in L-fuzzy topological spaces
    • S.-Z. Bai and W.-L. Wang, "I type of strong connectivity in L-fuzzy topological spaces," Fuzzy Sets and Systems, Vol. 99, pp. 357-362, 1998.
    • (1998) Fuzzy Sets and Systems , vol.99 , pp. 357-362
    • Bai, S.-Z.1    Wang, W.-L.2
  • 2
    • 0000442474 scopus 로고
    • The morphological approach to segmentation: The watershed transformation
    • E.R. Dougherty (Ed.), Marcel Dekker: New York City, New York
    • S. Beucher and F. Meyer, "The morphological approach to segmentation: The watershed transformation," in Mathematical Morphology in Image Processing, E.R. Dougherty (Ed.), Marcel Dekker: New York City, New York, 1993, pp. 433-481.
    • (1993) Mathematical Morphology in Image Processing , pp. 433-481
    • Beucher, S.1    Meyer, F.2
  • 3
    • 0004190631 scopus 로고
    • American Mathematical Society, Providence, Rhode Island
    • G. Birkhoff, Lattice Theory, 3rd ed., Vol. 25, American Mathematical Society, Providence, Rhode Island, 1967.
    • (1967) Lattice Theory, 3rd Ed. , vol.25
    • Birkhoff, G.1
  • 5
    • 0003370253 scopus 로고    scopus 로고
    • Multiresolution connectivity: An axiomatic approach
    • J. Goutsias, L. Vincent, and D.S. Bloomberg (Eds.), Kluwer Academic Publishers: Boston, MA
    • 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: Boston, MA, 2000, pp. 159-168.
    • (2000) Mathematical Morphology and its Applications to Image and Signal Processing , pp. 159-168
    • Braga-Neto, U.M.1    Goutsias, J.2
  • 6
    • 0003625191 scopus 로고    scopus 로고
    • A complete lattice approach to connectivity in image analysis
    • Department of Electrical and Computer Engineering, The Johns Hopkins University, Baltimore, MD
    • U.M. Braga-Neto and J. Goutsias, "A complete lattice approach to connectivity in image analysis," Technical Report ECE 00-05, Department of Electrical and Computer Engineering, The Johns Hopkins University, Baltimore, MD, 2000.
    • (2000) Technical Report , vol.ECE 00-05
    • Braga-Neto, U.M.1    Goutsias, J.2
  • 11
    • 0029264174 scopus 로고
    • Extraction of intensity connectedness for image processing
    • S. Dellepiane and F. Fontana, "Extraction of intensity connectedness for image processing," Pattern Recognition Letters, Vol. 16, pp. 313-324, 1995.
    • (1995) Pattern Recognition Letters , vol.16 , pp. 313-324
    • Dellepiane, S.1    Fontana, F.2
  • 12
    • 0003677229 scopus 로고    scopus 로고
    • Springer-Verlag: New York City, NY
    • R. Diestel, Graph Theory, Springer-Verlag: New York City, NY, 1997.
    • (1997) Graph Theory
    • Diestel, R.1
  • 13
    • 0003535772 scopus 로고
    • Allyn and Bacon: Boston, MA
    • J. Dugundji, Topology, Allyn and Bacon: Boston, MA, 1966.
    • (1966) Topology
    • Dugundji, J.1
  • 17
    • 0032785922 scopus 로고    scopus 로고
    • Connected morphological operators for binary images
    • H.J.A.M. Heijmans, "Connected morphological operators for binary images," Computer Vision and Image Understanding, Vol. 73, pp. 99-120, 1999.
    • (1999) Computer Vision and Image Understanding , vol.73 , pp. 99-120
    • Heijmans, H.J.A.M.1
  • 18
    • 0034551487 scopus 로고    scopus 로고
    • Connectedness in L-fuzzy topological spaces
    • S.-G. Li, "Connectedness in L-fuzzy topological spaces," Fuzzy Sets and Systems, Vol. 116, pp. 361-368, 2000.
    • (2000) Fuzzy Sets and Systems , vol.116 , pp. 361-368
    • Li, S.-G.1
  • 20
    • 0000672743 scopus 로고
    • A comparison of different compactness notions in fuzzy topological spaces
    • R. Lowen, "A comparison of different compactness notions in fuzzy topological spaces," Journal of Mathematical Analysis and Applications, Vol. 64, pp. 446-454, 1978.
    • (1978) Journal of Mathematical Analysis and Applications , vol.64 , pp. 446-454
    • Lowen, R.1
  • 21
    • 0012250624 scopus 로고
    • Connectedness in fuzzy topological spaces
    • R. Lowen, "Connectedness in fuzzy topological spaces," Rocky Mountain Journal of Mathematics, Vol. 11, pp. 427-433, 1981.
    • (1981) Rocky Mountain Journal of Mathematics , vol.11 , pp. 427-433
    • Lowen, R.1
  • 23
    • 0041404517 scopus 로고
    • Internal Report, Center of Geostatistics and Mathematical Morphology, Paris School of Mines, Fontainebleeau, France
    • G. Matheron, "Remarques sur les fermetures-partitions," Internal Report, Center of Geostatistics and Mathematical Morphology, Paris School of Mines, Fontainebleeau, France, 1985.
    • (1985) Remarques sur les Fermetures-partitions
    • Matheron, G.1
  • 26
    • 85025771512 scopus 로고
    • Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence
    • P.-M. Pu and Y.-M. Liu, "Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence," Journal of Mathematical Analysis and Applications, Vol. 76, pp. 571-599, 1980.
    • (1980) Journal of Mathematical Analysis and Applications , vol.76 , pp. 571-599
    • Pu, P.-M.1    Liu, Y.-M.2
  • 27
  • 28
    • 0031675050 scopus 로고    scopus 로고
    • Set-theoretical algebraic approaches to connectivity in continuous or digital spaces
    • 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.
    • (1998) Journal of Mathematical Imaging and Vision , vol.8 , pp. 41-58
    • Ronse, C.1
  • 29
    • 0035355612 scopus 로고    scopus 로고
    • Geodesy and connectivity in lattices
    • C. Ronse and J. Serra, "Geodesy and connectivity in lattices," Fundamenta Informaticae, Vol. 46, pp. 349-395, 2001.
    • (2001) Fundamenta Informaticae , vol.46 , pp. 349-395
    • Ronse, C.1    Serra, J.2
  • 30
    • 0002046145 scopus 로고
    • Fuzzy graphs
    • L.A. Zadeh, K.S. Fu, and M. Shimura (Eds.), Academic Press
    • A. Rosenfeld, "Fuzzy graphs," in Fuzzy Sets and Their Applications, L.A. Zadeh, K.S. Fu, and M. Shimura (Eds.), Academic Press, 1975, pp. 77-95.
    • (1975) Fuzzy Sets and their Applications , pp. 77-95
    • Rosenfeld, A.1
  • 31
    • 0001996435 scopus 로고
    • Fuzzy digital topology
    • A. Rosenfeld, "Fuzzy digital topology," Information and Control, Vol. 40, pp. 76-87, 1979.
    • (1979) Information and Control , vol.40 , pp. 76-87
    • Rosenfeld, A.1
  • 32
    • 0020641918 scopus 로고
    • On connectivity properties of grayscale pictures
    • A. Rosenfeld, "On connectivity properties of grayscale pictures," Pattern Recognition, Vol. 16, pp. 47-50, 1983.
    • (1983) Pattern Recognition , vol.16 , pp. 47-50
    • Rosenfeld, A.1
  • 33
    • 0021631744 scopus 로고
    • The fuzzy geometry of image subsets
    • A. Rosenfeld, "The fuzzy geometry of image subsets," Pattern Recognition Letters, Vol. 2, pp. 311-317, 1984.
    • (1984) Pattern Recognition Letters , vol.2 , pp. 311-317
    • Rosenfeld, A.1
  • 37
    • 0042907624 scopus 로고    scopus 로고
    • Connectivity on complete lattices
    • P. Maragos, R.W. Schafer, and M.A. Butt (Eds.), Kluwer Academic Publishers: Boston, MA
    • J. Serra, "Connectivity on complete lattices," in Mathematical Morphology and its Applications to Image and Signal Processing, P. Maragos, R.W. Schafer, and M.A. Butt (Eds.), Kluwer Academic Publishers: Boston, MA, 1996, pp. 81-96.
    • (1996) Mathematical Morphology and its Applications to Image and Signal Processing , pp. 81-96
    • Serra, J.1
  • 39
    • 0001798119 scopus 로고    scopus 로고
    • Connections for sets and functions
    • J. Serra, "Connections for sets and functions," Fundamenta Informaticae, Vol. 41, pp. 147-186, 2000.
    • (2000) Fundamenta Informaticae , vol.41 , pp. 147-186
    • Serra, J.1
  • 40
    • 0030145389 scopus 로고    scopus 로고
    • Fuzzy connectedness and object definition: Theory, algorithms, and applications in image segmentation
    • J.K. Udupa and S. Samarasekera, "Fuzzy connectedness and object definition: Theory, algorithms, and applications in image segmentation," Graphical Models and Image Processing, Vol. 58, pp. 246-261, 1996.
    • (1996) Graphical Models and Image Processing , vol.58 , pp. 246-261
    • Udupa, J.K.1    Samarasekera, S.2
  • 41
    • 0002774129 scopus 로고
    • Morphological area openings and closings for greyscale images
    • Y.-L. O. A. Toet, D. Foster, H.J.A.M. Heijmans, and P. Meer (Eds.), Springer-Verlag: New York City, NY
    • L.Vincent, "Morphological area openings and closings for greyscale images," in Shape in Picture: Mathematical Description of Shape in Grey-level Images, Y.-L. O. A. Toet, D. Foster, H.J.A.M. Heijmans, and P. Meer (Eds.), Springer-Verlag: New York City, NY, 1994, pp. 197-208.
    • (1994) Shape in Picture: Mathematical Description of Shape in Grey-level Images , pp. 197-208
    • Vincent, L.1
  • 42
    • 0002402158 scopus 로고
    • On the determination of fuzzy topological spaces and fuzzy neighborhood spaces by their level-topologies
    • P.Wuyts, "On the determination of fuzzy topological spaces and fuzzy neighborhood spaces by their level-topologies," Fuzzy Sets and Systems, Vol. 12, pp. 71-85, 1984.
    • (1984) Fuzzy Sets and Systems , vol.12 , pp. 71-85
    • Wuyts, P.1
  • 43
    • 0003078903 scopus 로고
    • Fuzzy relations, fuzzy graphs, and their applications to clustering analysis
    • L.A. Zadeh, K.S. Fu, and M. Shimura (Eds.), Academic Press
    • R.T. Yeh and S.Y. Bang, "Fuzzy relations, fuzzy graphs, and their applications to clustering analysis," in Fuzzy Sets and Their Applications, L.A. Zadeh, K.S. Fu, and M. Shimura (Eds.), Academic Press, 1975, pp. 125-149.
    • (1975) Fuzzy Sets and their Applications , pp. 125-149
    • Yeh, R.T.1    Bang, S.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.