论文信息 - A rational cubic spline based on function values

A rational cubic spline based on function values

Abstract A rational spline based on function values only is constructed, which is of the same order as a cubic spline. The rational spline may be used to control the position and shape of a curve or surface. The approximation properties of this spline are studied.

W. G. Price | Edward H. Twizell | Qi Duan | K. Djidjeli

[1] Thomas A. Foley,et al. Local control of interval tension using weighted splines , 1986, Comput. Aided Geom. Des..

[2] Paul Dierckx,et al. Generating the Bézier points of a -spline curve , 1989, Comput. Aided Geom. Des..

[3] Gregory M. Nielson,et al. Rectangular v-Splines , 1986, IEEE Computer Graphics and Applications.

[4] Jochen W. Schmidt,et al. Positivity of cubic polynomials on intervals and positive spline interpolation , 1988 .

[5] B. Barsky. The beta-spline: a local representation based on shape parameters and fundamental geometric measures , 1981 .

[6] Muhammad Sarfraz,et al. Cubic spline curves with shape control , 1994, Comput. Graph..