메뉴 건너뛰기




Volumn 1, Issue 2, 2014, Pages 79-87

Voronoi diagrams, quasi-triangulations, and beta-complexes for disks in R2: the theory and implementation in BetaConcept

Author keywords

Additively weighted Voronoi diagram; Beta complexes; Beta shapes; GUI program; Quasi triangulations; Spherical atoms; Voronoi diagram of disks

Indexed keywords

ADDITIVES; APPLICATION PROGRAMMING INTERFACES (API); C++ (PROGRAMMING LANGUAGE); COMPUTER SOFTWARE; GRAPHIC METHODS; MOLECULAR BIOLOGY; TRIANGULATION;

EID: 84984697054     PISSN: 22884300     EISSN: 22885048     Source Type: Journal    
DOI: 10.7315/JCDE.2014.008     Document Type: Article
Times cited : (16)

References (19)
  • 1
    • 0003760944 scopus 로고    scopus 로고
    • Spatial tessellations: Concepts and applications of Voronoi diagrams
    • 2nd ed. John Wiley & Sons Chichester 696 p
    • Okabe, A., Boots, B., Sugihara, K., Chiu, S.N., Spatial tessellations: Concepts and applications of Voronoi diagrams. 2nd ed., 2000, John Wiley & Sons, Chichester 696 p.
    • (2000)
    • Okabe, A.1    Boots, B.2    Sugihara, K.3    Chiu, S.N.4
  • 3
    • 33745842713 scopus 로고    scopus 로고
    • Topology representation for the Voronoi diagram of 3D spheres
    • Cho, Y., Kim, D., 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
  • 4
    • 22944434527 scopus 로고    scopus 로고
    • Euclidean Voronoi diagram of 3D balls and its computation via tracing edges
    • Kim, D.S., Cho, Y., 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
  • 5
    • 33646128957 scopus 로고    scopus 로고
    • Region-expansion for the Voronoi diagram of 3D spheres
    • Kim, D., 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
  • 6
    • 0003560037 scopus 로고    scopus 로고
    • Principles of CAD/CAM/CAE systems
    • Prentice Hall Upper Saddle River (NJ) 640 p
    • Lee, K., Principles of CAD/CAM/CAE systems. 1999, Prentice Hall, Upper Saddle River (NJ) 640 p.
    • (1999)
    • Lee, K.1
  • 7
    • 0002058718 scopus 로고
    • Generalization of Voronoi diagrams in the plane
    • Lee, D., Drysdale, R., Generalization of Voronoi diagrams in the plane. SIAM Journal on Computing 10:1 (1981), 73–87.
    • (1981) SIAM Journal on Computing , vol.10 , Issue.1 , pp. 73-87
    • Lee, D.1    Drysdale, R.2
  • 8
    • 0022061437 scopus 로고
    • Intersection and closest-pair problems for a set of planar discs
    • Sharir, M., Intersection and closest-pair problems for a set of planar discs. SIAM Journal on Computing, 14(2), 1985, 448468.
    • (1985) SIAM Journal on Computing , vol.14 , Issue.2 , pp. 448468
    • Sharir, M.1
  • 9
    • 0346755279 scopus 로고
    • An O(n log n) algorithm for the Voronoi diagram of a set of simple curve segments
    • Yap, C.K., An O(n log n) algorithm for the Voronoi diagram of a set of simple curve segments. Discrete & Computational Geometry. 2 (1987), 365–393.
    • (1987) Discrete & Computational Geometry. , vol.2 , pp. 365-393
    • Yap, C.K.1
  • 10
    • 0033078471 scopus 로고    scopus 로고
    • Swap conditions for dynamic vd for circles and line segments
    • Gavrilova, M., Rokne, J., Swap conditions for dynamic vd for circles and line segments. Computer Aided Geometric Design 16:2 (1999), 89–106.
    • (1999) Computer Aided Geometric Design , vol.16 , Issue.2 , pp. 89-106
    • Gavrilova, M.1    Rokne, J.2
  • 11
    • 0027698481 scopus 로고
    • Approximation of generalized Voronoi diagrams by ordinary Voronoi diagrams
    • Sugihara, K., Approximation of generalized Voronoi diagrams by ordinary Voronoi diagrams. Graphical Models and Image Processing 55:6 (1993), 522–531.
    • (1993) Graphical Models and Image Processing , vol.55 , Issue.6 , pp. 522-531
    • Sugihara, K.1
  • 14
    • 33745813533 scopus 로고    scopus 로고
    • Quasi-triangulation and interworld data structure in three dimensions
    • Kim, D.S., Kim, D., Cho, Y., Sugihara, K., Quasi-triangulation and interworld data structure in three dimensions. Computer-Aided Design 38:7 (2006), 808–819.
    • (2006) Computer-Aided Design , vol.38 , Issue.7 , pp. 808-819
    • Kim, D.S.1    Kim, D.2    Cho, Y.3    Sugihara, K.4
  • 15
    • 77955565392 scopus 로고    scopus 로고
    • Quasi-worlds and quasioperators on quasi-triangulations
    • Kim, D.S., Cho, Y., Sugihara, K., Quasi-worlds and quasioperators on quasi-triangulations. Computer-Aided Design 42:10 (2010), 874–888.
    • (2010) Computer-Aided Design , vol.42 , Issue.10 , pp. 874-888
    • Kim, D.S.1    Cho, Y.2    Sugihara, K.3
  • 16
    • 84867663377 scopus 로고    scopus 로고
    • Anomalies in quasitriangulations and beta-complexes of spherical atoms in molecules
    • Kim, D.S., Cho, Y., Ryu, J., Kim, J.K., Kim, D., Anomalies in quasitriangulations and beta-complexes of spherical atoms in molecules. Computer-Aided Design 45:1 (2013), 35–52.
    • (2013) Computer-Aided Design , vol.45 , Issue.1 , pp. 35-52
    • Kim, D.S.1    Cho, Y.2    Ryu, J.3    Kim, J.K.4    Kim, D.5
  • 17
    • 77955569416 scopus 로고    scopus 로고
    • Threedimensional beta-shapes and beta-complexes via quasitriangulation
    • Kim, D.S., Cho, Y., Sugihara, K., Ryu, J., Kim, D., Threedimensional beta-shapes and beta-complexes via quasitriangulation. Computer-Aided Design 42:10 (2010), 911–929.
    • (2010) Computer-Aided Design , vol.42 , Issue.10 , pp. 911-929
    • Kim, D.S.1    Cho, Y.2    Sugihara, K.3    Ryu, J.4    Kim, D.5
  • 18
  • 19
    • 0032285473 scopus 로고    scopus 로고
    • Polygon offsetting using a Voronoi diagram and two stacks
    • Kim, D.S., Polygon offsetting using a Voronoi diagram and two stacks. Computer-Aided Design 30:14 (1998), 1069–1076.
    • (1998) Computer-Aided Design , vol.30 , Issue.14 , pp. 1069-1076
    • Kim, D.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.