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Volumn 6, Issue 1, 2002, Pages 69-81

Laguerre Voronoi diagram on the sphere

Author keywords

Convex hull; Laguerre distance; Power diagram; Sphere; Voronoi diagram

Indexed keywords


EID: 45849096563     PISSN: 14338157     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (46)

References (20)
  • 1
    • 0012955596 scopus 로고
    • Generalized Dirichlet tessellations
    • P.F. Ash, E.D. Bolker: Generalized Dirichlet tessellations. Geom. Dedicata 20, 209-243 (1986)
    • (1986) Geom. Dedicata , vol.20 , pp. 209-243
    • Ash, P.F.1    Bolker, E.D.2
  • 2
    • 0001253834 scopus 로고
    • A linear-time algorithm for computing the Voronoi diagram of a convex polygon
    • A. Aggarwal, L.J. Guibas, J. Saxe, P.W. Shor: A linear-time algorithm for computing the Voronoi diagram of a convex polygon. Discrete Comput. Geom. 4, 591-604 (1989)
    • (1989) Discrete Comput. Geom , vol.4 , pp. 591-604
    • Aggarwal, A.1    Guibas, L.J.2    Saxe, J.3    Shor, P.W.4
  • 3
    • 0023287929 scopus 로고
    • Power diagrams-Properties, algorithms and applications
    • F. Aurenhammer: Power diagrams-Properties, algorithms and applications. SIAM J. Comput. 16, 78-96 (1987)
    • (1987) SIAM J. Comput , vol.16 , pp. 78-96
    • Aurenhammer, F.1
  • 4
    • 38249030725 scopus 로고
    • Improved algorithms for dishs and balls using power diagram
    • F. Aurenhammer: Improved algorithms for dishs and balls using power diagram. J. Algorithms 9, 151-161 (1988)
    • (1988) J. Algorithms , vol.9 , pp. 151-161
    • Aurenhammer, F.1
  • 5
    • 84976826673 scopus 로고
    • Voronoi diagrams-A survey of a fundamental geometric data structure
    • F. Aurenhammer: Voronoi diagrams-A survey of a fundamental geometric data structure. ACM Computing Surveys 23, 345-405 (1991)
    • (1991) ACM Computing Surveys , vol.23 , pp. 345-405
    • Aurenhammer, F.1
  • 6
    • 0018768186 scopus 로고
    • Voronoi diagrams from convex hulls
    • K.Q. Brown: Voronoi diagrams from convex hulls. Inf. Process. Lett. 9, 223-228 (1979)
    • (1979) Inf. Process. Lett , vol.9 , pp. 223-228
    • Brown, K.Q.1
  • 10
    • 0001465710 scopus 로고
    • Voronoi diagrams and Delaunay triangulations
    • In D.-Z. Du, F.K. Hwang (eds.), Sin-gapore
    • S. Fortune: Voronoi diagrams and Delaunay triangulations. In D.-Z. Du, F.K. Hwang (eds.): Computing in Euclidean Geometry, World Scientific Publishing, Sin-gapore 1992, pp. 193-233
    • (1992) Computing in Euclidean Geometry, World Scientific Publishing , pp. 193-233
    • Fortune, S.1
  • 11
    • 0022012922 scopus 로고
    • Voronoi diagram in the Laguerre geometry and its applications
    • H. Imai, M. Iri, K. Murota: Voronoi diagram in the Laguerre geometry and its applications. SIAM J. Comput. 14, 93-105 (1985)
    • (1985) SIAM J. Comput , vol.14 , pp. 93-105
    • Imai, H.1    Iri, M.2    Murota, K.3
  • 12
    • 0002429537 scopus 로고
    • Optimal search in planar subdivision
    • D.G. Kirkpatrick: Optimal search in planar subdivision. SIAM J. Comput. 2, 28-35 (1983)
    • (1983) SIAM J. Comput , vol.2 , pp. 28-35
    • Kirkpatrick, D.G.1
  • 14
    • 84976813289 scopus 로고
    • Two-dimensional Voronoi diagrams in the Lp-metric
    • D.-T. Lee: Two-dimensional Voronoi diagrams in the Lp-metric. J. Assoc. Comput. Mach. 27, 604-618 (1980)
    • (1980) J. Assoc. Comput. Mach , vol.27 , pp. 604-618
    • Lee, D.-T.1
  • 15
    • 0040407313 scopus 로고
    • Random points, sets and tessellations on the surface of a sphere
    • R.E. Miles: Random points, sets and tessellations on the surface of a sphere. Sankhya (Indian Journal of Statistics) Ser. A, 33, 145-174 (1971)
    • (1971) Sankhya (Indian Journal of Statistics) Ser. A , vol.33 , pp. 145-174
    • Miles, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.