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Volumn 24, Issue 4, 2005, Pages 1374-1391

Hierarchical triangular splines

Author keywords

Arbitrary topology; B zier patches; G 1 continuity; Geometric modeling; Hierarchical splines; Interpolation; Local frames; Meshes; Multiresolution; Triangular

Indexed keywords

1-CONTINUITY; ARBITRARY TOPOLOGY; GEOMETRIC MODELING; HIERARCHICAL SPLINES; LOCAL FRAMES; MESHES; MULTIRESOLUTION; TRIANGULAR;

EID: 33645781800     PISSN: 07300301     EISSN: 07300301     Source Type: Conference Proceeding    
DOI: 10.1145/1095878.1095885     Document Type: Article
Times cited : (22)

References (28)
  • 1
    • 84962140893 scopus 로고    scopus 로고
    • Optimising 3d triangulations: Improving the initial triangulation for the butterfly subdivision scheme
    • N. Dodson, M. Sabin, and M. Floater Eds. Springer-Verlag
    • ALKALAI, N. AND DYN, N. 2004. Optimising 3d triangulations: improving the initial triangulation for the butterfly subdivision scheme. In Advances in Multiresolution for Geometric Modeling, N. Dodson, M. Sabin, and M. Floater Eds. Springer-Verlag.
    • (2004) Advances in Multiresolution for Geometric Modeling
    • Alkalai, N.1    Dyn, N.2
  • 3
    • 0025439891 scopus 로고
    • Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces
    • DEROSE, T. D. 1990. Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces. Comput. Aided Geom. Des. 7, 1-4, 165-179.
    • (1990) Comput. Aided Geom. Des. , vol.7 , Issue.1-4 , pp. 165-179
    • Derose, T.D.1
  • 4
    • 84976724020 scopus 로고
    • A butterfly subdivision scheme for surface interpolation with tension control
    • DYN, N., LEVINE, D., AND GREGORY, J. A. 1990. A butterfly subdivision scheme for surface interpolation with tension control. ACM Trans. Graph. 9, 2, 160-169.
    • (1990) ACM Trans. Graph. , vol.9 , Issue.2 , pp. 160-169
    • Dyn, N.1    Levine, D.2    Gregory, J.A.3
  • 7
    • 0020751772 scopus 로고
    • Subdivision algorithms for Bézier triangles
    • GOLDMAN, R. N. 1983. Subdivision algorithms for Bézier triangles. Computer-Aided Design 22, 3, 159-166.
    • (1983) Computer-aided Design , vol.22 , Issue.3 , pp. 159-166
    • Goldman, R.N.1
  • 9
    • 0002667526 scopus 로고
    • N-sided surface patches
    • J. A. Gregory, Ed. Clarendon Press, Oxford, UK
    • GREGORY, J. A. 1986. N-sided surface patches. In The Mathematics of Surfaces, J. A. Gregory, Ed. Clarendon Press, Oxford, UK. 217-232.
    • (1986) The Mathematics of Surfaces , pp. 217-232
    • Gregory, J.A.1
  • 10
    • 0037282515 scopus 로고    scopus 로고
    • Polynomial surfaces interpolating arbitrary triangulations
    • HAHMANN, S. AND BONNEAU, G.-P. 2003. Polynomial surfaces interpolating arbitrary triangulations. IEEE Trans. Visualiz. Comput. Graph. 9, 1, 99-109.
    • (2003) IEEE Trans. Visualiz. Comput. Graph. , vol.9 , Issue.1 , pp. 99-109
    • Hahmann, S.1    Bonneau, G.-P.2
  • 11
    • 33645770707 scopus 로고    scopus 로고
    • Subdivision invariant polynomial interpolation
    • K. P. e. H.C. Hege, Ed. Mathematics and Visualization. Springer, Springer-Verlag
    • HAHMANN, S., BONNEAU, G.-P., AND YVART, A. 2003. Subdivision invariant polynomial interpolation. In Visualization and Mathematics III, K. P. e. H.C. Hege, Ed. Mathematics and Visualization. Springer, Springer-Verlag, 191-202.
    • (2003) Visualization and Mathematics III , pp. 191-202
    • Hahmann, S.1    Bonneau, G.-P.2    Yvart, A.3
  • 12
    • 0001780982 scopus 로고
    • Assembling triangular and rectangular patches and multivariate splines
    • G. Farm, Ed. SIAM
    • JENSEN, T. 1987. Assembling triangular and rectangular patches and multivariate splines. In Geometric Modeling: Algorithms and New Trends, G. Farm, Ed. SIAM, 203-220.
    • (1987) Geometric Modeling: Algorithms and New Trends , pp. 203-220
    • Jensen, T.1
  • 14
    • 0028448601 scopus 로고
    • 1 triangular spline surface of arbitrary topological type
    • 1 triangular spline surface of arbitrary topological type. Comput. Aided Geom. Des. 11, 303-330.
    • (1994) Comput. Aided Geom. Des. , vol.11 , pp. 303-330
    • Loop, C.1
  • 15
    • 0024704554 scopus 로고
    • A multisided generalization of Bézier surfaces
    • LOOP, C. T. AND DEROSE, T. D. 1989. A multisided generalization of Bézier surfaces. ACM Trans. Graph. 8, 3, 204-234.
    • (1989) ACM Trans. Graph. , vol.8 , Issue.3 , pp. 204-234
    • Loop, C.T.1    Derose, T.D.2
  • 16
    • 0030781264 scopus 로고    scopus 로고
    • Multiresolution analysis for surfaces of arbitrary topological type
    • LOUNSBERY, M., DEROSE, T. D., AND WARREN, J. 1997. Multiresolution analysis for surfaces of arbitrary topological type. ACM Trans. Graph. 16, 1, 34-73.
    • (1997) ACM Trans. Graph. , vol.16 , Issue.1 , pp. 34-73
    • Lounsbery, M.1    Derose, T.D.2    Warren, J.3
  • 17
    • 0001777570 scopus 로고
    • A survey of parametric scattered data fitting using triangular interpolants
    • H. Hagen, Ed. SIAM
    • MANN, S., LOOP, C., LOUNSBERY, M., MEYERS, D. J., PAINTER T. D., AND SLOAN, K. 1992. A survey of parametric scattered data fitting using triangular interpolants. In Curve and Surface Design, H. Hagen, Ed. SIAM, 145-172.
    • (1992) Curve and Surface Design , pp. 145-172
    • Mann, S.1    Loop, C.2    Lounsbery, M.3    Meyers, D.J.4    Painter, T.D.5    Sloan, K.6
  • 18
    • 0001031839 scopus 로고
    • C1-surface splines
    • PETERS, J. 1995. C1-surface splines. SIAM J. Numer. Anal. 32, 2, 645-666.
    • (1995) SIAM J. Numer. Anal. , vol.32 , Issue.2 , pp. 645-666
    • Peters, J.1
  • 20
    • 0001804650 scopus 로고
    • Visually smooth interpolation with triangular Bézier patches
    • G. Farin, Ed. SIAM
    • PIPER, B. 1987. Visually smooth interpolation with triangular Bézier patches. In Geometric Modeling: Algorithms and New Trends, G. Farin, Ed. SIAM, 221-233.
    • (1987) Geometric Modeling: Algorithms and New Trends , pp. 221-233
    • Piper, B.1
  • 21
    • 0022755701 scopus 로고
    • G1 interpolation of generally unrestricted cubic Bézier curves
    • SARRAGA, R. F. 1987. G1 interpolation of generally unrestricted cubic Bézier curves. Comput. Aided Geom. Des. 4, 1-2, 23-39.
    • (1987) Comput. Aided Geom. Des. , vol.4 , Issue.1-2 , pp. 23-39
    • Sarraga, R.F.1
  • 23
    • 0023582773 scopus 로고
    • Local surface interpolation with Bézier patches
    • SHIRMAN, L. A. AND SEQUIN, C. H. 1987. Local surface interpolation with Bézier patches. Comput. Aided Geom. Des. 4, 279-295.
    • (1987) Comput. Aided Geom. Des. , vol.4 , pp. 279-295
    • Shirman, L.A.1    Sequin, C.H.2
  • 24
    • 0031620937 scopus 로고    scopus 로고
    • Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
    • Annual Conference Series
    • STAM, J. 1998. Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values. Computer Graphics 32, Annual Conference Series, 395-404.
    • (1998) Computer Graphics , vol.32 , pp. 395-404
    • Stam, J.1
  • 25
    • 0022723215 scopus 로고
    • Bicubic patches for approximating non-rectangular control meshes
    • VAN WIJK, J. J. 1986. Bicubic patches for approximating non-rectangular control meshes. Constructive Approximation 3, 1-13.
    • (1986) Constructive Approximation , vol.3 , pp. 1-13
    • Van Wijk, J.J.1
  • 27
    • 38249028789 scopus 로고
    • Problems in geometric continuity
    • WATKINS, M. A. 1988. Problems in geometric continuity. Comput. Aided Des. 20, 8, 499-502.
    • (1988) Comput. Aided Des. , vol.20 , Issue.8 , pp. 499-502
    • Watkins, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.