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Volumn 37, Issue 4, 2007, Pages 1199-1227

Sampling and meshing a surface with guaranteed topology and geometry

Author keywords

Delaunay refinement; Delaunay triangulation; Geometry; Smooth surface; Topology; Voronoi diagram

Indexed keywords

DELAUNAY REFINEMENT; DELAUNAY TRIANGULATION; GEOMETRY; SMOOTH SURFACE; TOPOLOGY; VORONOI DIAGRAM;

EID: 43449132416     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/060665889     Document Type: Article
Times cited : (32)

References (36)
  • 1
    • 0033465068 scopus 로고    scopus 로고
    • Surface reconstruction by Voronoi filtering
    • N. AMENTA AND M. BERN, Surface reconstruction by Voronoi filtering, Discrete Comput. Geom., 22 (1999), pp. 481-504.
    • (1999) Discrete Comput. Geom , vol.22 , pp. 481-504
    • AMENTA, N.1    BERN, M.2
  • 3
    • 0012602657 scopus 로고
    • Surface fitting using implicit algebraic surface patches
    • H. Hagen, ed, SIAM, Philadelphia
    • C. L. BAJAJ, Surface fitting using implicit algebraic surface patches, in Topics in Surface Modeling, H. Hagen, ed., SIAM, Philadelphia, 1992, pp. 23-52.
    • (1992) Topics in Surface Modeling , pp. 23-52
    • BAJAJ, C.L.1
  • 4
    • 0024104710 scopus 로고
    • Polygonization of implicit surfaces
    • J. BLOOMENTHAL, Polygonization of implicit surfaces, Comput. Aided Geom. Design, 5 (1988), pp. 341-355.
    • (1988) Comput. Aided Geom. Design , vol.5 , pp. 341-355
    • BLOOMENTHAL, J.1
  • 5
    • 0035392259 scopus 로고    scopus 로고
    • Natural neighbor coordinates of points on a surface
    • J.-D. BOISSONNAT AND F. CAZALS, Natural neighbor coordinates of points on a surface, Comput. Geom., 19 (2001), pp. 155-173.
    • (2001) Comput. Geom , vol.19 , pp. 155-173
    • BOISSONNAT, J.-D.1    CAZALS, F.2
  • 8
    • 24944582018 scopus 로고    scopus 로고
    • Provably good sampling and meshing of surfaces
    • J.-D. BOISSONNAT AND S. OUDOT, Provably good sampling and meshing of surfaces, Graph. Models, 67 (2005), pp. 405-451.
    • (2005) Graph. Models , vol.67 , pp. 405-451
    • BOISSONNAT, J.-D.1    OUDOT, S.2
  • 12
    • 1842511639 scopus 로고    scopus 로고
    • Quality ineshing with weighted Delaunay refinement
    • S.-W. CHENG AND T. K. DEY, Quality ineshing with weighted Delaunay refinement, SIAM J. Comput., 33 (2003), pp. 69-93.
    • (2003) SIAM J. Comput , vol.33 , pp. 69-93
    • CHENG, S.-W.1    DEY, T.K.2
  • 14
    • 33749347838 scopus 로고    scopus 로고
    • Three-dimensional Delaunay mesh generation
    • S.-W. CHENG AND S.-H. POON, Three-dimensional Delaunay mesh generation, Discrete Comput. Geom., 36 (3006), pp. 419-456.
    • Discrete Comput. Geom , vol.36 , Issue.3006 , pp. 419-456
    • CHENG, S.-W.1    POON, S.-H.2
  • 17
    • 0032001948 scopus 로고    scopus 로고
    • An adaptive method for the automatic triangulation of 3D parametric surfaces
    • J.C. CUILLIÈRE, An adaptive method for the automatic triangulation of 3D parametric surfaces, Computer-Aided Design, 30 (1998), pp. 139-149.
    • (1998) Computer-Aided Design , vol.30 , pp. 139-149
    • CUILLIÈRE, J.C.1
  • 18
    • 21144444221 scopus 로고    scopus 로고
    • Approximating the medial axis from the Voronoi diagram with a convergence guarantee
    • T. K. DEY AND W. ZHAO, Approximating the medial axis from the Voronoi diagram with a convergence guarantee, Algorithmica, 38 (2004), pp. 179-200.
    • (2004) Algorithmica , vol.38 , pp. 179-200
    • DEY, T.K.1    ZHAO, W.2
  • 22
    • 0033482642 scopus 로고    scopus 로고
    • Deformable smooth surface design
    • H. EDELSBRUNNER, Deformable smooth surface design, Discrete Comput. Geom., 21 (1999), pp. 87-115.
    • (1999) Discrete Comput. Geom , vol.21 , pp. 87-115
    • EDELSBRUNNER, H.1
  • 23
    • 0025214884 scopus 로고
    • Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms
    • H. EDELSBRUNNER AND E. MÜCKE, Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms, ACM Trans. Graph., 9 (1990), pp. 66-104.
    • (1990) ACM Trans. Graph , vol.9 , pp. 66-104
    • EDELSBRUNNER, H.1    MÜCKE, E.2
  • 25
    • 0038309092 scopus 로고    scopus 로고
    • Nice point sets can have nasty Delaunay triangulations
    • J. ERICKSON, Nice point sets can have nasty Delaunay triangulations, Discrete Comput. Geom., 30 (2003), pp. 109-132.
    • (2003) Discrete Comput. Geom , vol.30 , pp. 109-132
    • ERICKSON, J.1
  • 27
    • 0242667172 scopus 로고    scopus 로고
    • Optimization by direct search: New perspectives on some classical and modern methods
    • T. G. KOLDA, R. M. LEWIS, AND V. TORCZON, Optimization by direct search: New perspectives on some classical and modern methods, SIAM Rev., 45 (2003), pp. 385-482.
    • (2003) SIAM Rev , vol.45 , pp. 385-482
    • KOLDA, T.G.1    LEWIS, R.M.2    TORCZON, V.3
  • 28
    • 0030129741 scopus 로고    scopus 로고
    • Finite element mesh generation over analytical curved surfaces
    • T. S. LAU AND S. H. LO, Finite element mesh generation over analytical curved surfaces, Comput. & Structures, 59 (1996), pp. 301-309.
    • (1996) Comput. & Structures , vol.59 , pp. 301-309
    • LAU, T.S.1    LO, S.H.2
  • 29
    • 0023381475 scopus 로고
    • Marching cubes: A high resolution 3D surface construction algorithm
    • W. E. LORENSEN AND H. E. CLINE, Marching cubes: A high resolution 3D surface construction algorithm, Comput. Graphics, 21 (1987), pp. 163-169.
    • (1987) Comput. Graphics , vol.21 , pp. 163-169
    • LORENSEN, W.E.1    CLINE, H.E.2
  • 30
    • 38049004351 scopus 로고    scopus 로고
    • Isotopic meshing of a real algebraic surface
    • Technical report RR-5508, INRIA, Sophia Antipolis, France
    • B. MOURRAIN AND J.-P. TÉCOURT, Isotopic meshing of a real algebraic surface, Technical report RR-5508, INRIA, Sophia Antipolis, France, 2005.
    • (2005)
    • MOURRAIN, B.1    TÉCOURT, J.-P.2
  • 33
    • 0038014823 scopus 로고    scopus 로고
    • What is a good linear element? Interpolation, conditioning, and quality measures
    • J. R. SHEWCHUK, What is a good linear element? Interpolation, conditioning, and quality measures, in Proceedings of the 11th International Meshing Roundtable, 2002, pp. 115-126.
    • (2002) Proceedings of the 11th International Meshing Roundtable , pp. 115-126
    • SHEWCHUK, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.