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Volumn 305, Issue 1-3, 2003, Pages 221-235

The Khalimsky topologies are precisely those simply connected topologies on ℤn whose connected sets include all 2n-connected sets but no (3n - 1)-disconnected sets

Author keywords

Digital topology; Image; Khalimsky space; Metric analog; Multidimensional; Polyhedral analog; Simply connected

Indexed keywords

ANALOG TO DIGITAL CONVERSION; APPROXIMATION THEORY; SET THEORY; TOPOLOGY;

EID: 0042530414     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(02)00710-7     Document Type: Conference Paper
Times cited : (18)

References (16)
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    • Bertrand G. New notions for discrete topology. Bertrand G., Couprie M., Perroton L. Discrete Geometry for Computer Imagery: Proc. 8th Internat. Conf., DGCI '99, Marne la Vallée, France. March 1999;218-228 Springer, Berlin.
    • (1999) Discrete Geometry for Computer Imagery: Proc. 8th Internat. Conf., DGCI '99 , pp. 218-228
    • Bertrand, G.1
  • 7
    • 38249019149 scopus 로고
    • Computer graphics and connected topologies on finite ordered sets
    • Khalimsky E.D., Kopperman R.D., Meyer P.R. Computer graphics and connected topologies on finite ordered sets. Topology Appl. 36:1990;1-17.
    • (1990) Topology Appl. , vol.36 , pp. 1-17
    • Khalimsky, E.D.1    Kopperman, R.D.2    Meyer, P.R.3
  • 12
    • 51249176102 scopus 로고
    • A Jordan surface theorem for three-dimensional digital spaces
    • Kopperman R.D., Meyer P.R., Wilson R.G. A Jordan surface theorem for three-dimensional digital spaces. Discrete Comput. Geom. 6:1991;155-161.
    • (1991) Discrete Comput. Geom. , vol.6 , pp. 155-161
    • Kopperman, R.D.1    Meyer, P.R.2    Wilson, R.G.3
  • 14
    • 0002203464 scopus 로고    scopus 로고
    • Homotopy in 2-dimensional digital images
    • Malgouyres R. Homotopy in 2-dimensional digital images. Theoret. Comput. Sci. 230:2000;221-233.
    • (2000) Theoret. Comput. Sci. , vol.230 , pp. 221-233
    • Malgouyres, R.1
  • 15
    • 84972504018 scopus 로고
    • Singular homology groups and homotopy groups of finite topological spaces
    • McCord M.C. Singular homology groups and homotopy groups of finite topological spaces. Duke Math. J. 33:1966;465-474.
    • (1966) Duke Math. J. , vol.33 , pp. 465-474
    • McCord, M.C.1
  • 16
    • 0014705801 scopus 로고
    • Connectivity in digital pictures
    • Rosenfeld A. Connectivity in digital pictures. J. Assoc. Comput. Mach. 17:1970;146-160.
    • (1970) J. Assoc. Comput. Mach. , vol.17 , pp. 146-160
    • Rosenfeld, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.