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Volumn 38, Issue 7, 2006, Pages 808-819

Quasi-triangulation and interworld data structure in three dimensions

Author keywords

complex; Delaunay triangulation; radial edge data structure; regular triangulation; simplex; Topology; Voronoi diagram of spheres

Indexed keywords

QUERY LANGUAGES; THREE DIMENSIONAL COMPUTER GRAPHICS; TOPOLOGY;

EID: 33745813533     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2006.04.008     Document Type: Article
Times cited : (71)

References (26)
  • 1
    • 0023287929 scopus 로고
    • Power diagrams: Properties, algorithms and applications
    • Aurenhammer F. Power diagrams: Properties, algorithms and applications. SIAM Journal on Computing 16 (1987) 78-96
    • (1987) SIAM Journal on Computing , vol.16 , pp. 78-96
    • Aurenhammer, F.1
  • 2
    • 84976826673 scopus 로고
    • Voronoi diagrams-a survey of a fundamental geometric data structure
    • Aurenhammer F. Voronoi diagrams-a survey of a fundamental geometric data structure. ACM Computing Surveys 23 3 (1991) 345-405
    • (1991) ACM Computing Surveys , vol.23 , Issue.3 , pp. 345-405
    • Aurenhammer, F.1
  • 3
    • 27144535937 scopus 로고    scopus 로고
    • Covex hull and Voronoi diagram of additively weighted points
    • Proceedings of the 13th annual European symposium on algorithms. Brodal G., and Leonardi S. (Eds), Springer-Verlag
    • Boissonnat J.-D., and Delage C. Covex hull and Voronoi diagram of additively weighted points. In: Brodal G., and Leonardi S. (Eds). Proceedings of the 13th annual European symposium on algorithms. Lecture Notes in Computer Science vol. 3669 (2005), Springer-Verlag 367-378
    • (2005) Lecture Notes in Computer Science , vol.3669 , pp. 367-378
    • Boissonnat, J.-D.1    Delage, C.2
  • 4
    • 0038077555 scopus 로고    scopus 로고
    • Boissonnat J-D, Karavelas MI. On the combinatorial complexity of Euclidean Voronoi cells and convex hulls of d-dimensional spheres. In: Proceedings of the 14th annual ACM-SIAM symposium on discrete algorithms. 2003. p. 305-12
  • 6
    • 33745842713 scopus 로고    scopus 로고
    • Topology representation for the Voronoi diagram of 3D spheres
    • Cho Y., Kim D., and Kim D.-S. Topology representation for the Voronoi diagram of 3D spheres. International Journal of CAD/CAM 5 1 (2005) 59-68
    • (2005) International Journal of CAD/CAM , vol.5 , Issue.1 , pp. 59-68
    • Cho, Y.1    Kim, D.2    Kim, D.-S.3
  • 7
    • 33745872344 scopus 로고    scopus 로고
    • Choi Y. Vertex-based boundary representation of non-manifold geometric models. Ph.D. thesis. USA: Carnegie-Mellon University; 1989
  • 8
    • 33745871732 scopus 로고    scopus 로고
    • Gavrilova M. Proximity and applications in general metrics. Ph.D. thesis. Calgary (Canada): Department of Computer Science, The University of Calgary; 1998
  • 9
    • 0012315429 scopus 로고    scopus 로고
    • Voronoi methods in GIS
    • Algorithmic foundations of geographic information systems. van Kreveld (Ed), Springer-Verlag, London (UK)
    • Gold C.M., Remmele P.R., and Roos T. Voronoi methods in GIS. In: van Kreveld (Ed). Algorithmic foundations of geographic information systems. Lecture Notes in Computer Science vol. 1340 (1997), Springer-Verlag, London (UK) 21-35
    • (1997) Lecture Notes in Computer Science , vol.1340 , pp. 21-35
    • Gold, C.M.1    Remmele, P.R.2    Roos, T.3
  • 10
    • 0028099044 scopus 로고    scopus 로고
    • Halperin D, Overmars MH. Spheres, molecules, and hidden surface removal. In: Proceedings of the 10th ACM symposium on computational geometry. 1994. p. 113-22
  • 11
    • 84938056402 scopus 로고    scopus 로고
    • Dynamic additively weighted Voronoi diagrams in 2D
    • Proceedings of the 10th European symposium on algorithms. Möhring R., and Raman R. (Eds), Springer-Verlag
    • Karavelas M., and Yvinec M. Dynamic additively weighted Voronoi diagrams in 2D. In: Möhring R., and Raman R. (Eds). Proceedings of the 10th European symposium on algorithms. Lecture Notes in Computer Science vol. 2461 (2002), Springer-Verlag 586-598
    • (2002) Lecture Notes in Computer Science , vol.2461 , pp. 586-598
    • Karavelas, M.1    Yvinec, M.2
  • 12
    • 33646128957 scopus 로고    scopus 로고
    • Region-expansion for the Voronoi diagram of 3D spheres
    • Kim D., and Kim D.-S. Region-expansion for the Voronoi diagram of 3D spheres. Computer-aided design 38 5 (2006) 417-430
    • (2006) Computer-aided design , vol.38 , Issue.5 , pp. 417-430
    • Kim, D.1    Kim, D.-S.2
  • 13
    • 33745844179 scopus 로고    scopus 로고
    • Kim D-S, Cho Y, Kim D. Edge-tracing algorithm for Euclidean Voronoi diagram of 3D spheres. In: Proceedings of the 16th Canadian conference on computational geometry. 2004. p. 176-9
  • 14
    • 22944434527 scopus 로고    scopus 로고
    • Euclidean Voronoi diagram of 3D balls and its computation via tracing edges
    • Kim D.-S., Cho Y., and Kim D. Euclidean Voronoi diagram of 3D balls and its computation via tracing edges. Computer-Aided Design 37 13 (2005) 1412-1424
    • (2005) Computer-Aided Design , vol.37 , Issue.13 , pp. 1412-1424
    • Kim, D.-S.1    Cho, Y.2    Kim, D.3
  • 16
    • 0035393555 scopus 로고    scopus 로고
    • Voronoi diagram of a circle set from Voronoi diagram of a point set: I. topology
    • Kim D.-S., Kim D., and Sugihara K. Voronoi diagram of a circle set from Voronoi diagram of a point set: I. topology. Computer Aided Geometric Design 18 (2001) 541-562
    • (2001) Computer Aided Geometric Design , vol.18 , pp. 541-562
    • Kim, D.-S.1    Kim, D.2    Sugihara, K.3
  • 17
    • 0035393828 scopus 로고    scopus 로고
    • Voronoi diagram of a circle set from Voronoi diagram of a point set: II. geometry
    • Kim D.-S., Kim D., and Sugihara K. Voronoi diagram of a circle set from Voronoi diagram of a point set: II. geometry. Computer Aided Geometric Design 18 (2001) 563-585
    • (2001) Computer Aided Geometric Design , vol.18 , pp. 563-585
    • Kim, D.-S.1    Kim, D.2    Sugihara, K.3
  • 19
    • 15844417369 scopus 로고    scopus 로고
    • Partial entity structure: A compact boundary representation for non-manifold geometric modeling
    • Lee S.H., and Lee K. Partial entity structure: A compact boundary representation for non-manifold geometric modeling. ASME Journal of Computing & Information Science in Engineering 1 4 (2001) 356-365
    • (2001) ASME Journal of Computing & Information Science in Engineering , vol.1 , Issue.4 , pp. 356-365
    • Lee, S.H.1    Lee, K.2
  • 20
    • 0001220899 scopus 로고    scopus 로고
    • Voronoi-Delaunay analysis of voids in systems of nonpherical particles
    • Luchnikov V.A., Medvedev N.N., Oger L., and Troadec J.-P. Voronoi-Delaunay analysis of voids in systems of nonpherical particles. Physical Review E 59 6 (1999) 7205-7212
    • (1999) Physical Review E , vol.59 , Issue.6 , pp. 7205-7212
    • Luchnikov, V.A.1    Medvedev, N.N.2    Oger, L.3    Troadec, J.-P.4
  • 22
    • 33745853623 scopus 로고    scopus 로고
    • RCSB Protein Data Bank Homepage, http://www.rcsb.org/pdb/
  • 23
    • 0029488073 scopus 로고    scopus 로고
    • Varshney A, Brooks Jr FP, Richardson DC, Wright WV, Manocha D. Defining, computing, and visualizing molecular interfaces. In: Proceedings of the IEEE visualization'95. October 1995. p. 36-43
  • 24
    • 33745824004 scopus 로고    scopus 로고
    • Voronoi Diagram Research Center, http://voronoi.hanyang.ac.kr/
  • 25
    • 0001771575 scopus 로고
    • The radial edge structure: A topological representation for non-manifold geometric boundary modeling
    • Wozny M., McLaughlin H., and Encarnacao J. (Eds), Elsevier Science Publishers B.V., North Holland
    • Weiler K. The radial edge structure: A topological representation for non-manifold geometric boundary modeling. In: Wozny M., McLaughlin H., and Encarnacao J. (Eds). Geometric modeling for CAD applications (1988), Elsevier Science Publishers B.V., North Holland 3-36
    • (1988) Geometric modeling for CAD applications , pp. 3-36
    • Weiler, K.1
  • 26
    • 33745812169 scopus 로고    scopus 로고
    • Will H-M. Computation of additively weighted voronoi cells for applications in molecular biology. Ph.D. thesis. Zurich: Swiss Federal Institute of Technology; 1999


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.