EXPONENTIAL SPLINE INTERPOLATION

被引:77
作者
SPATH, H
机构
[1] Institut für Neutronenphysik und Reaktortechnik Kernforschungszentrum Karlsruhe, Karlsruhe, D-7501
关键词
D O I
10.1007/BF02234771
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Piecewise cubic polynomial spline interpolation [3] or smoothing [4] often gives undesirable inflexion points. We describe a spline interpolation method that allows to avoid these inflexion points and contains cubic splines as special case. The method is a generalization of the work in [2]. The proof of the theorem motivating the use of exponential splines is simplified. An ALGOL procedure is presented that allows to mix piecewise cubic and exponential spline interpolation suitably. © 1969 Springer-Verlag.
引用
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页码:225 / &
相关论文
共 4 条
[1]  
DEBOOR C, 1962, J MATH PHYS, V41, P212
[2]  
GREVILLE TNE, 1967, MATHEMATICAL METHODS, V2, P156
[3]   SMOOTHING BY SPLINE FUNCTIONS [J].
REINSCH, CH .
NUMERISCHE MATHEMATIK, 1967, 10 (03) :177-&
[4]   AN INTERPOLATION CURVE USING A SPLINE IN TENSION [J].
SCHWEIKERT, DG .
JOURNAL OF MATHEMATICS AND PHYSICS, 1966, 45 (03) :312-+