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Volumn 17, Issue 6, 2006, Pages 1237-1255

Estimating the Euler Characteristic of a planar set from a digital image

Author keywords

Betti number; Convex ring; Digital morphology; Digitized image; Euler characteristic; Multigrid convergence

Indexed keywords

APPROXIMATION THEORY; NUMBER THEORY; OPTICAL RESOLVING POWER; SET THEORY;

EID: 33845233149     PISSN: 10473203     EISSN: 10959076     Source Type: Journal    
DOI: 10.1016/j.jvcir.2006.05.001     Document Type: Article
Times cited : (15)

References (24)
  • 1
    • 0029114398 scopus 로고
    • Unbiased estimation of vertebral trabecular connectivity in calcium-restricted ovariectomized minipigs
    • Boyce R.W., Ebert D.C., Youngs T.A., Paddock C.L., Mosekilde L., Stevens M.L., and Gundersen H.J.G. Unbiased estimation of vertebral trabecular connectivity in calcium-restricted ovariectomized minipigs. Bone 16 (1995) 637-642
    • (1995) Bone , vol.16 , pp. 637-642
    • Boyce, R.W.1    Ebert, D.C.2    Youngs, T.A.3    Paddock, C.L.4    Mosekilde, L.5    Stevens, M.L.6    Gundersen, H.J.G.7
  • 2
    • 0030290448 scopus 로고    scopus 로고
    • A morphological model for complex fluids
    • Mecke K.R. A morphological model for complex fluids. J. Phys. Condens. Matter 8 (1996) 9663-9667
    • (1996) J. Phys. Condens. Matter , vol.8 , pp. 9663-9667
    • Mecke, K.R.1
  • 3
    • 33845220986 scopus 로고    scopus 로고
    • P.E. Levitz, Generic methods for the characterization of porous materials, in: F. Schüth, K.S.W. Sing, J. Weitkamp (Eds.), Handbook of Porous Solids, 1, Wiley-VCH, Weinheim (2002) 37-80.
  • 6
    • 33845204209 scopus 로고    scopus 로고
    • J. Serra, Image Analysis and Mathematical Morphology, vol. 1, Academic Press, London, 1982.
  • 11
    • 33845224832 scopus 로고    scopus 로고
    • The Euler number of discretized sets - on the choice of adjacency in homogeneous lattices
    • Ohser J., Nagel W., and Schladitz K. The Euler number of discretized sets - on the choice of adjacency in homogeneous lattices. Lecture Notes in Physics 600 (2002) 275-298
    • (2002) Lecture Notes in Physics , vol.600 , pp. 275-298
    • Ohser, J.1    Nagel, W.2    Schladitz, K.3
  • 12
    • 17844386154 scopus 로고    scopus 로고
    • The Euler number of discretised sets - surprising results in three dimensions
    • Ohser J., Nagel W., and Schladitz K. The Euler number of discretised sets - surprising results in three dimensions. Image Anal. Stereol. 22 (2003) 11-19
    • (2003) Image Anal. Stereol. , vol.22 , pp. 11-19
    • Ohser, J.1    Nagel, W.2    Schladitz, K.3
  • 14
    • 0029855962 scopus 로고
    • The estimation of the Euler-Poincaré characteristic from observations in parallel sections
    • Ohser J., and Nagel W. The estimation of the Euler-Poincaré characteristic from observations in parallel sections. J. Microsc. 184 (1995) 117-126
    • (1995) J. Microsc. , vol.184 , pp. 117-126
    • Ohser, J.1    Nagel, W.2
  • 17
    • 33845193150 scopus 로고    scopus 로고
    • M. Kiderlen, Estimation of the specific Euler characteristic of a planar Boolean model from digitizations, in preparation (2006).
  • 19
    • 0021644329 scopus 로고
    • Algorithms for the Euler characteristic and related additive functionals of digital objects
    • Bieri H., and Nef W. Algorithms for the Euler characteristic and related additive functionals of digital objects. Comput. Graphics Image Process. 28 (1984) 166-175
    • (1984) Comput. Graphics Image Process. , vol.28 , pp. 166-175
    • Bieri, H.1    Nef, W.2
  • 20
    • 0019150267 scopus 로고
    • Computing the Euler number of an image from its quadtree
    • Dyer Ch.R. Computing the Euler number of an image from its quadtree. Comput. Graphics Image Process. 13 (1980) 270-276
    • (1980) Comput. Graphics Image Process. , vol.13 , pp. 270-276
    • Dyer, Ch.R.1
  • 21
    • 84943347235 scopus 로고
    • Sequential operations in digital picture processing
    • Rosenfeld A., and Pfaltz J.L. Sequential operations in digital picture processing. J. ACM 13 (1966) 471-494
    • (1966) J. ACM , vol.13 , pp. 471-494
    • Rosenfeld, A.1    Pfaltz, J.L.2
  • 23
    • 33845211698 scopus 로고    scopus 로고
    • n, Algorithms and Combinatorics, vol. 11, Springer, Berlin, 1992.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.