Error estimation of a kind of rational spline

[1]  Carl de Boor,et al.  A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[2]  David F. McAllister,et al.  An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline , 1981, TOMS.

[3]  J. Gregory,et al.  Piecewise rational quadratic interpola-tion to monotonic data , 1982 .

[4]  F. Fritsch,et al.  A Method for Constructing Local Monotone Piecewise Cubic Interpolants , 1984 .

[5]  J. A. Gregory.  Shape preserving spline interpolation , 1986 .

[6]  Zheng Yan,et al.  Error analysis for piecewise quadratic curve fitting algorithms , 1986, Comput. Aided Geom. Des..

[7]  Tim N. T. Goodman,et al.  Shape preserving interpolation by curvature continuous parametric curves , 1988, Comput. Aided Geom. Des..

[8]  Charles K. Chui,et al.  2. Box Splines and Multivariate Truncated Powers , 1988 .

[9]  Les A. Piegl,et al.  On NURBS: A Survey , 2004 .

[10]  H. Greiner,et al.  A survey on univariate data interpolation and approximation by splines of given shape , 1991 .

[11]  M. Sarfraz.  Convexity preserving piecewise rational interpolation for planar curves , 1992 .

[12]  Aatos Lahtinen,et al.  On the choice of parameters in shape-preserving quadratic spline interpolation , 1992 .

[13]  John A. Gregory,et al.  Interactive curve design using C2 rational splines , 1994, Comput. Graph..

[14]  Muhammad Sarfraz.  Generalized geometric interpolation for rational cubic splines , 1994, Comput. Graph..

[15]  W. G. Price,et al.  A rational cubic spline based on function values , 1998, Comput. Graph..

[16]  W. G. Price,et al.  The approximation properties of some rational cubic splines , 1999, Int. J. Comput. Math..

[17]  Edward H. Twizell,et al.  Weighted rational cubic spline interpolation and its application , 2000 .

[18]  Q Duan,et al.  CONSTRAINED RATIONAL CUBIC SPLINE AND ITS APPLICATION , 2001 .

[19]  Edward H. Twizell,et al.  A novel approach to the convexity control of interpolant curves , 2003 .

[20]  Jochen W. Schmidt,et al.  Positive interpolation with rational quadratic splines , 2005, Computing.