USE OF SPLINE FUNCTIONS FOR DATA SMOOTHING

被引：148

作者：

WOOD, GA ^{[1
]}

JENNINGS, LS ^{[1
]}

机构：

[1] UNIV WESTERN AUSTRALIA,DEPT MATH,NEDLANDS 6009,W AUSTRALIA,AUSTRALIA

来源：

JOURNAL OF BIOMECHANICS | 1979年 / 12卷 / 06期

关键词：

MATHEMATICAL TECHNIQUES - Approximation Theory;

D O I：

10.1016/0021-9290(79)90033-2

中图分类号：

Q6 [生物物理学];

学科分类号：

071011 ;

摘要：

The appropriateness of various numerical procedures for obtaining valid time-derivative data recently reported in the literature (Zernicke et al., 1976; McLaughlin et al., 1977; Pezzack et al., 1977) is discussed. A case for the use of quintic natural splines is presented, based on the smoothness of higher derivatives and flexibility in application. © 1979.

引用

页码：477 / 479

页数：3

共 10 条

[1] Greville, Introduction to spline functions, Theory and Application of Spline Functions, pp. 1-35, (1969)
[2] McLaughlin, Dillman, Lardner, Biomechanical analysis with cubic splines, Res. Q., 48, pp. 569-582, (1977)
[3] Miller, Nelson, Biomechanics of Sport, pp. 56-57, (1973)
[4] Pezzack, Norman, Winter, An assessment of derivative determing techniques used for motion analysis, J. Biomech., 10, pp. 377-382, (1977)
[5] Reinsch, Smoothing by spline functions, Num. Math., 10, pp. 177-183, (1967)
[6] Reinsch, Smoothing by spline functions II, Num. Math., 16, pp. 451-454, (1971)
[7] Rice, The Approximation of Functions II, pp. 123-159, (1969)
[8] Spath, Spline Algorithms for Curves and Surfaces, (1974)
[9] Wold, Spline functions in data analysis, Technometrics, 16, pp. 1-11, (1974)
[10] Zernicke, Caldwell, Roberts, Fitting biomechanical data with cubic spline functions, Res. Q., 47, pp. 9-19, (1976)

← 1 →