论文信息 - Monotone linear rational spline interpolation

Monotone linear rational spline interpolation

Abstract A method for interpolating a monotone data sequence (values and derivatives) with a C1 monotone rational B-spline of degree 1 is presented, along with some test results. This method is tailor-made for reparameterizing B-spline curves in Geometric Modeling.

Michael Kallay | Richard D. Fuhr

[1] R. E. Carlson,et al. Monotone Piecewise Cubic Interpolation , 1980 .

[2] Hiroshi Akima,et al. A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures , 1970, JACM.

[3] E. T. Y. Lee,et al. Möbius reparametrizations of rational B-splines , 1991, Comput. Aided Geom. Des..

[4] Wolfgang Böhm,et al. A survey of curve and surface methods in CAGD , 1984, Comput. Aided Geom. Des..

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

[6] J. Gregory,et al. C2 Rational Quadratic Spline Interpolation to Monotonic Data , 1983 .

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