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Volumn , Issue , 2003, Pages 65-75

Any open bounded subset of ℝn has the same homotopy type than its Medial Axis

Author keywords

Homotopy; Medial Axis; Skeleton; Surface Reconstruction

Indexed keywords

ALGORITHMS; COMPUTER AIDED DESIGN; MATHEMATICAL TRANSFORMATIONS; SET THEORY; TOPOLOGY;

EID: 0038041413     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/781619.781620     Document Type: Conference Paper
Times cited : (49)

References (20)
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    • Computing and simlifying 2d and 3d continous skeletons
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  • 4
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    • Ricky Pollack and Eli Goodman Festschrift ed. B. Aronov, S. Basu, J. Pach and M. Sharir. Springer-Verlag, to appear, Available on Herbert Edelsbrunner Homepage
    • H. Edelsbrunner. Surface reconstruction by wrapping finite point sets in space, in Ricky Pollack and Eli Goodman Festschrift ed. B. Aronov, S. Basu, J. Pach and M. Sharir. Springer-Verlag, to appear, Available on Herbert Edelsbrunner Homepage.
    • Surface Reconstruction by Wrapping Finite Point Sets in Space
    • Edelsbrunner, H.1
  • 11
    • 0003643363 scopus 로고
    • Differential equations: A dynamical systems approach
    • Springer, New York
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    • (1995) Texts in Applied Mathematics , pp. 169-179
    • Hubbard, B.W.J.H.1
  • 12
    • 0038795183 scopus 로고    scopus 로고
    • Medial axis homotopy
    • LMC/IMAG, CNRS UMR 5523, Université Joseph Fourier, Grenoble, Mai
    • A. Lieutier. Medial axis homotopy. Rapport de recherche RR 1048-M-, LMC/IMAG, CNRS UMR 5523, Université Joseph Fourier, Grenoble, Mai 2002. Available at Workshop EGG "http://www-sop.inria.fr/prisme/manifestations/ECG02/ecg-workshopprogram.ht ml".
    • (2002) Rapport de Recherche , vol.RR 1048-M
    • Lieutier, A.1
  • 14
    • 0000010768 scopus 로고
    • Examples of topological properties of skeletons (chapter 11), on the negligibility of the skeleton and the absolute continuity of erosions (chapter 12)
    • Edited by Jean Serra. Academic Press
    • G. Matheron. Examples of Topological Properties of Skeletons (Chapter 11), On the Negligibility of the Skeleton and the Absolute Continuity of Erosions (Chapter 12), In Image Analysis and Mathematical Morphology, Volume 2: Theoretical Advances, Edited by Jean Serra, pages 216-256. Academic Press, 1988.
    • (1988) Image Analysis and Mathematical Morphology, Volume 2: Theoretical Advances , vol.2 , pp. 216-256
    • Matheron, G.1
  • 19
    • 23044532242 scopus 로고    scopus 로고
    • Approximating the medial axis from the voronoi diagram with a convergence guarantee
    • r.mohring and r. raman (eds.)
    • W. Z. T.K. Dey. Approximating the medial axis from the voronoi diagram with a convergence guarantee r.mohring and r. raman (eds.). ESA 2002, LNCS, (2461):387-398, 2002.
    • (2002) ESA 2002, LNCS , Issue.2461 , pp. 387-398
    • Dey, W.Z.T.K.1
  • 20
    • 0011526786 scopus 로고
    • Cut locus and medial axis in global shape interrogation and representation
    • MIT, Department of Ocean Engineering, Design Laboratory, Cambridge, MA, December
    • F. Wolter. Cut locus and medial axis in global shape interrogation and representation. Design Laboratory Memorandum 92-2, MIT, Department of Ocean Engineering, Design Laboratory, Cambridge, MA, December 1993.
    • (1993) Design Laboratory Memorandum , vol.92 , Issue.2
    • Wolter, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.