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Home > Archive>Volume 5, Issue 12, 1994 >30-37
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THE LOWEST DEGREE OF G1 INTERPOLATION OVER 3D TRIANGULATION
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    Abstract:

    This paper proved that the lowest degree of GI interpolation over 3D triangulation with Be'zier triangular surface patches where only one patch is constructed over one triangle region is quintic and a scheme of constructing lowest degree of GI interpolation over 3D triangulation is described in detail.

    Reference
    1 Boehm W．Visual continuity．Computer Aided Geometric Design，1988(5)：307—311． 2 Farin G．Smooth interpolation to scattered 3D data．In：Bernhill R E，Boehm W et al．Surface in CAGD，1983． 3 Piper B R．Visual smooth interpolation with triangular Be'zier patches．1n：Farin G eds．Geometric Modelling,1987：221—223． 4 Liu D，Hoschek J．GCl—Continuity condition between adjacent rectangular and triangular Be'zier Patches．Cornputer Aided Design，1989，22(4)：194—200． 5 Degen W L F．Explicity condition for adjacent Be'zier surface patches．Computer Aided Geometric Design, 1990(7)：181—189． 6 Du W H，Sehmitt F J M．New results for the smooth connection between tensor product Be'zier patches．In：Magnenat—Thalmann N Thalmann eds．New Trends in Computer Graphics，Proceeding of CG International'88，1988：35l一361． 7 Sarrage R F．Computer modelling of surfaces with arbitrary shapes．IEEE Computer Graphic and Application，1989：67—77． 8 Peter J．Local smooth surface interpolation classification．Computer Aided Geometric Design，1990(7):191—193．
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姜寿山.关于空间三角网格上G1插值的阶数.软件学报,1994,5(12):30-37

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History
  • Received:March 17,1992
  • Revised:October 08,1992
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