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Volumn 2006, Issue , 2006, Pages 227-237

The predicates for the Voronoi diagram of ellipses

Author keywords

Bisector; Ellipse; Euclidean distance; Exact computation; Parametric representation; Predicate; Voronoi diagram

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; COMPUTER PROGRAMMING LANGUAGES; OPTIMIZATION; PROBLEM SOLVING; QUERY LANGUAGES;

EID: 33748058478     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1137856.1137891     Document Type: Conference Paper
Times cited : (20)

References (28)
  • 2
    • 0034819620 scopus 로고    scopus 로고
    • A sum of squares theorem for visibility
    • ACM Press
    • P. Angelier and M. Pocchiola. A sum of squares theorem for visibility. In Procs of 17th SoCG, pages 302-311. ACM Press, 2001.
    • (2001) Procs of 17th SoCG , pp. 302-311
    • Angelier, P.1    Pocchiola, M.2
  • 4
    • 33748028874 scopus 로고    scopus 로고
    • An exact predicate for the optimal construction of the additively weighted Voronoi diagram
    • F. Anton, J.-D. Boissonnat, D. Mioc, and M. Yvinec. An exact predicate for the optimal construction of the additively weighted Voronoi diagram. In Europ. Workshop Comput. Geom., 2002.
    • (2002) Europ. Workshop Comput. Geom.
    • Anton, F.1    Boissonnat, J.-D.2    Mioc, D.3    Yvinec, M.4
  • 5
    • 0142118181 scopus 로고    scopus 로고
    • Complexity of the delaunay triangulation of points on polyhedral surfaces
    • D. Attali and J.-D. Boissonnat. Complexity of the delaunay triangulation of points on polyhedral surfaces. Discr. & Comp. Geometry, 30(3):437-452, 2003.
    • (2003) Discr. & Comp. Geometry , vol.30 , Issue.3 , pp. 437-452
    • Attali, D.1    Boissonnat, J.-D.2
  • 7
    • 27144535937 scopus 로고    scopus 로고
    • Convex hull and Voronoi diagram of additively weighted points
    • Proc. 13th Annu. European Sympos. Algorithms. Springer-Verlag
    • J.-D. Boissonnat and C. Delage. Convex hull and Voronoi diagram of additively weighted points. In Proc. 13th Annu. European Sympos. Algorithms, volume 3669 of Lecture Notes Comput. Sci., pages 367-378. Springer-Verlag, 2005.
    • (2005) Lecture Notes Comput. Sci. , vol.3669 , pp. 367-378
    • Boissonnat, J.-D.1    Delage, C.2
  • 8
    • 0038077555 scopus 로고    scopus 로고
    • On the combinatorial complexity of Euclidean Voronoi cells and convex hulls of d-dimensional spheres
    • J.-D. Boissonnat and M. Karavelas. On the combinatorial complexity of Euclidean Voronoi cells and convex hulls of d-dimensional spheres. In Proc. SODA, pages 305-312, 2003.
    • (2003) Proc. SODA , pp. 305-312
    • Boissonnat, J.-D.1    Karavelas, M.2
  • 10
    • 84943272604 scopus 로고    scopus 로고
    • A separation bound for real algebraic expressions
    • ESA. Springer
    • C. Burnikel, S. Funke, K. Mehlhorn, S. Schirra, and S, Schmitt. A Separation Bound for Real Algebraic Expressions. In ESA, volume 2161 of LNCS, pages 254-265. Springer, 2001.
    • (2001) LNCS , vol.2161 , pp. 254-265
    • Burnikel, C.1    Funke, S.2    Mehlhorn, K.3    Schirra, S.4    Schmitt, S.5
  • 13
    • 35048825724 scopus 로고    scopus 로고
    • Computing with real algebraic numbers of small degree
    • LNCS. Springer
    • I.Z. Emiris and E.P. Tsigaridas. Computing with real algebraic numbers of small degree. In Proc. ESA, LNCS, pages 652-663. Springer, 2004.
    • (2004) Proc. ESA , pp. 652-663
    • Emiris, I.Z.1    Tsigaridas, E.P.2
  • 14
    • 33744906797 scopus 로고    scopus 로고
    • Real solving of bivariate polynomial systems
    • V.G. Ganzha, E.W. Mayr, and E.V. Vorozhtsov, editors, LNCS. Springer Verlag
    • I.Z. Emiris and E.P. Tsigaridas. Real solving of bivariate polynomial systems. In V.G. Ganzha, E.W. Mayr, and E.V. Vorozhtsov, editors, Proc. Computer Algebra in Scientific Computing (CASC), LNCS, pages 150-161. Springer Verlag, 2005.
    • (2005) Proc. Computer Algebra in Scientific Computing (CASC) , pp. 150-161
    • Emiris, I.Z.1    Tsigaridas, E.P.2
  • 15
    • 33748032759 scopus 로고    scopus 로고
    • Algebraic study of the Apollonius circle of three ellipses
    • Holland
    • I.Z. Emiris and G.M. Tzoumas. Algebraic study of the Apollonius circle of three ellipses. In Proc, Europ. Works. Comp. Geom., pages 147-150, Holland, 2005.
    • (2005) Proc, Europ. Works. Comp. Geom. , pp. 147-150
    • Emiris, I.Z.1    Tzoumas, G.M.2
  • 16
    • 33748092434 scopus 로고    scopus 로고
    • Also: Poster session, CASC'05, Greece. To appear
    • Also: Poster session, CASC'05, Greece. To appear in SIGSAM Bulletin.
    • SIGSAM Bulletin
  • 17
    • 33748075194 scopus 로고    scopus 로고
    • A new approach to characterizing the relative position of two ellipses depending on one parameter
    • Submitted
    • F. Etayo, L. Gonzalez-Vega, and N. del Rio. A new approach to characterizing the relative position of two ellipses depending on one parameter. Comp.-Aided Geom. Design, 2005. Submitted.
    • (2005) Comp.-aided Geom. Design
    • Etayo, F.1    Gonzalez-Vega, L.2    Del Rio, N.3
  • 20
    • 33748082725 scopus 로고    scopus 로고
    • Optimal Voronoi diagram construction with n convex sites in three dimensions
    • School of Mathematics, Dublin
    • P. Harrington, C.O. Dúnlaing, and C. Yap. Optimal Voronoi diagram construction with n convex sites in three dimensions. Tech. Rep. TCDMATH 04-21, School of Mathematics, Dublin, 2004.
    • (2004) Tech. Rep. , vol.TCDMATH 04-21
    • Harrington, P.1    Dúnlaing, C.O.2    Yap, C.3
  • 21
    • 0142183798 scopus 로고    scopus 로고
    • Voronoi diagram of convex objects in the plane
    • M.I. Karavelas and M. Yvinec. Voronoi diagram of convex objects in the plane. In Proc. ESA, pages 337-348, 2003.
    • (2003) Proc. ESA , pp. 337-348
    • Karavelas, M.I.1    Yvinec, M.2
  • 22
    • 0035393828 scopus 로고    scopus 로고
    • Voronoi diagram of a circle set from Voronoi diagram of a point set: II. Geometry
    • D.-S. Kim, D. Kim, and K. Sugihara. Voronoi diagram of a circle set from Voronoi diagram of a point set: II. Geometry. CAGD, 18:563-585, 2001.
    • (2001) CAGD , vol.18 , pp. 563-585
    • Kim, D.-S.1    Kim, D.2    Sugihara, K.3
  • 23
    • 0010268561 scopus 로고
    • Randomised incremental construction of abstract Voronoi diagrams
    • R. Klein, K. Mehlhorn, and S. Meiser. Randomised incremental construction of abstract Voronoi diagrams. Comput. Geom. Theory & Appl, 3(3):157-184, 1993.
    • (1993) Comput. Geom. Theory & Appl , vol.3 , Issue.3 , pp. 157-184
    • Klein, R.1    Mehlhorn, K.2    Meiser, S.3
  • 24
    • 0030549637 scopus 로고    scopus 로고
    • A compact piecewise-linear Voronoi diagram for convex sites in the plane
    • M. McAllister, D. Kirkpatrick, and J. Snoeyink. A compact piecewise-linear Voronoi diagram for convex sites in the plane. Discrete Comput. Geom., 15:73-105, 1996.
    • (1996) Discrete Comput. Geom. , vol.15 , pp. 73-105
    • McAllister, M.1    Kirkpatrick, D.2    Snoeyink, J.3
  • 26
    • 0035393775 scopus 로고    scopus 로고
    • An algebraic condition for the separation of two ellipsoids
    • W. Wang, J. Wang, and M. Kim. An algebraic condition for the separation of two ellipsoids. Comp, Aided Geom. Design, 18:531-539, 2001.
    • (2001) Comp, Aided Geom. Design , vol.18 , pp. 531-539
    • Wang, W.1    Wang, J.2    Kim, M.3
  • 27
    • 33748074849 scopus 로고    scopus 로고
    • On guaranteed accuracy computation
    • F. Chen and D. Wang, editors. Geometric Computation, World Scientific
    • C. Yap. On guaranteed accuracy computation. In F. Chen and D. Wang, editors. Geometric Computation, volume 11 of Lect. Notes Series Comp. World Scientific, 2004.
    • (2004) Lect. Notes Series Comp. , vol.11
    • Yap, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.