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Volumn 38, Issue 4, 2007, Pages 651-664

A monotonicity property for weighted delaunay triangulations

Author keywords

Dirichlet energy; Laplacian; Rippa; Triangulations; Weighted Delaunay triangulation

Indexed keywords


EID: 37249009184     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-007-9009-y     Document Type: Article
Times cited : (29)

References (23)
  • 3
    • 0142169424 scopus 로고    scopus 로고
    • Combinatorial Ricci flows on surfaces
    • Chow, B., Luo, F.: Combinatorial Ricci flows on surfaces. J. Differ. Geom. 63, 97-129 (2003)
    • (2003) J. Differ. Geom. , vol.63 , pp. 97-129
    • Chow, B.1    Luo, F.2
  • 6
    • 0040318512 scopus 로고    scopus 로고
    • Discrete solutions of Dirichlet problems, finite volumes, and circle packings
    • 1
    • Dubejko, T.: Discrete solutions of Dirichlet problems, finite volumes, and circle packings. Discrete Comput. Geom. 22(1), 19-39 (1999)
    • (1999) Discrete Comput. Geom. , vol.22 , pp. 19-39
    • Dubejko, T.1
  • 7
    • 33645390729 scopus 로고
    • Distributed and lumped networks
    • Duffin, R.J.: Distributed and lumped networks. J. Math. Mech. 8, 793-826 (1959)
    • (1959) J. Math. Mech. , vol.8 , pp. 793-826
    • Duffin, R.J.1
  • 8
    • 85095857221 scopus 로고    scopus 로고
    • Triangulations and meshes in computational geometry
    • Edelsbrunner, H.: Triangulations and meshes in computational geometry. Acta Numer. 133-213, (2000)
    • (2000) Acta Numer. , pp. 133-213
    • Edelsbrunner, H.1
  • 9
    • 0000670028 scopus 로고    scopus 로고
    • Incremental topological flipping works for regular triangulations
    • 3
    • Edelsbrunner, H., Shah, N.R.: Incremental topological flipping works for regular triangulations. Algorithmica 15(3), 223-241 (1996)
    • (1996) Algorithmica , vol.15 , pp. 223-241
    • Edelsbrunner, H.1    Shah, N.R.2
  • 11
    • 17644373737 scopus 로고    scopus 로고
    • A combinatorial Yamabe flow in three dimensions
    • 4
    • Glickenstein, D.: A combinatorial Yamabe flow in three dimensions. Topology 44(4), 791-808 (2005)
    • (2005) Topology , vol.44 , pp. 791-808
    • Glickenstein, D.1
  • 12
    • 17644370592 scopus 로고    scopus 로고
    • A maximum principle for combinatorial Yamabe flow
    • 4
    • Glickenstein, D.: A maximum principle for combinatorial Yamabe flow. Topology 44(4), 809-825 (2005)
    • (2005) Topology , vol.44 , pp. 809-825
    • Glickenstein, D.1
  • 14
    • 1542355827 scopus 로고    scopus 로고
    • Ph.D. thesis, California Institute of Technology, Pasadena, CA (May)
    • Hirani, A.N.: Discrete exterior calculus. Ph.D. thesis, California Institute of Technology, Pasadena, CA (May 2003)
    • (2003) Discrete Exterior Calculus
    • Hirani, A.N.1
  • 15
    • 0034922086 scopus 로고    scopus 로고
    • Voronoi diagrams on piecewise flat surfaces and an application to biological growth
    • 1-2
    • Indermitte, C., Liebling, T.M., Troyanov, M., Clémençon, H.: Voronoi diagrams on piecewise flat surfaces and an application to biological growth. Theor. Comput. Sci. 263(1-2), 263-274 (2001)
    • (2001) Theor. Comput. Sci. , vol.263 , pp. 263-274
    • Indermitte, C.1    Liebling, T.M.2    Troyanov, M.3    Clémençon, H.4
  • 16
    • 0000061516 scopus 로고
    • 1 surface interpolation
    • Academic Press New York
    • 1 surface interpolation. In: Mathematical Software III, pp. 161-194. Academic Press, New York (1977)
    • (1977) Mathematical Software III , pp. 161-194
    • Lawson, C.L.1
  • 17
    • 8744221606 scopus 로고    scopus 로고
    • Combinatorial Yamabe flow on surfaces
    • 5
    • Luo, F.: Combinatorial Yamabe flow on surfaces. Commun. Contemp. Math. 6(5), 765-780 (2004)
    • (2004) Commun. Contemp. Math. , vol.6 , pp. 765-780
    • Luo, F.1
  • 20
    • 84950826016 scopus 로고
    • Computing discrete minimal surfaces and their conjugates
    • 1
    • Pinkall, U., Polthier, K.: Computing discrete minimal surfaces and their conjugates. Exp. Math. 2(1), 15-36 (1993)
    • (1993) Exp. Math. , vol.2 , pp. 15-36
    • Pinkall, U.1    Polthier, K.2
  • 21
    • 38249010766 scopus 로고
    • Minimal roughness property of the Delaunay triangulation: A shorter approach
    • 6
    • Powar, P.L.: Minimal roughness property of the Delaunay triangulation: a shorter approach. Comput. Aided Geom. Des. 9(6), 491-494 (1992)
    • (1992) Comput. Aided Geom. Des. , vol.9 , pp. 491-494
    • Powar, P.L.1
  • 22
    • 0025519222 scopus 로고
    • Minimal roughness property of the Delaunay triangulation
    • Rippa, S.: Minimal roughness property of the Delaunay triangulation. Comput. Aided Geom. Des. 7, 489-497 (1990)
    • (1990) Comput. Aided Geom. Des. , vol.7 , pp. 489-497
    • Rippa, S.1
  • 23
    • 0001684677 scopus 로고
    • Euclidean structures on simplicial surfaces and hyperbolic volume
    • 3
    • Rivin, I.: Euclidean structures on simplicial surfaces and hyperbolic volume. Ann. Math. (2) 139(3), 553-580 (1994)
    • (1994) Ann. Math. (2) , vol.139 , pp. 553-580
    • Rivin, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.