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THE BLOSSOM APPROACH TO THE DIMENSION OF THE BIVARIATE SPLINE SPACE 被引量：2

THE BLOSSOM APPROACH TO THE DIMENSION OF THE BIVARIATE SPLINE SPACE
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摘要 Presents information on a study which outlined the blossom approach to the dimension count of bivariate spline space. Smoothness conditions in blossoming form; Application of the approach to the case of Morgan-Scott partition. Presents information on a study which outlined the blossom approach to the dimension count of bivariate spline space. Smoothness conditions in blossoming form; Application of the approach to the case of Morgan-Scott partition.
作者 Zhi-bin Chen Yu-yu Feng Jernej Kozak
机构地区 Department of Mathematics Department of Mathematics
出处 《Journal of Computational Mathematics》 SCIE CSCD 2000年第2期183-198,共16页 计算数学（英文）
基金 the 973 Project on Mathematical Mechanics!G1998030600 NSF and SF of National Educational Committee of China
关键词 bivariate spline space blossom DIMENSION bivariate spline space blossom dimension
分类号 O241 [理学—计算数学]
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参考文献11

  • 1Shi X Q.The singularity of morgan-scott triangulation. Computer Aided Geometric Design . 1991
  • 2Chou,Y. S.,Su,L. Y.,Wang,R. H. The Dimensions of Bivariate Spline Spaces over Triangulations . 1985
  • 3Lai M J.A characterisation theorem of multivariate splines in blossoming form. CAGD . 1991
  • 4Morgan,J. and Scott,R.The Dimension of Piecewise Polynomials. Manuscripta . 1977
  • 5Ramshaw,L.Béziers and B-splines as multiaffine maps. Theoretical Foundation of Computer Graphics and CAD . 1988
  • 6Ramshaw,L.Blossoms are polar forms. Computer Aided Geometric Design . 1989
  • 7L.L.Schumaker.on the dimension of space of piecewise polynomials in two variables in multivariate approximation theory. . 1979
  • 8Schumaker L L.Bounds on the dimension of spaces of multivariate piecewise polynomials. Rocky Mtn.J.Math . 1984
  • 9Diener,D.Instability in the dimension of spaces of bivariate piecewise polynomials ofdegree 2r and smoothness order r. SIAM Journal on Numerical Analysis . 1990
  • 10Feng, Y.Y,Kozak, J,Zhang, M.On the Dimension of the C-1 Spline Space for theMorgan--Scott Triangulation from the Blossoming Approach. Advanced Topics in Multivariate Approximation . 1997

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Journal of Computational Mathematics
2000年 第2期

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