INTERPOLATION OF UNIT VECTORS

被引:19
作者
PARKER, RL [1 ]
DENHAM, CR [1 ]
机构
[1] WOODS HOLE OCEANOG INST,DEPT GEOL & GEOPHYS,WOODS HOLE,MA 02543
来源
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY | 1979年 / 58卷 / 03期
关键词
D O I
10.1111/j.1365-246X.1979.tb04802.x
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
Summary. Time series of unit vectors occur in geophysics as palaeomagnetic poles or poles of relative motion in plate tectonics, and it is often required to trace a smooth curve through the individual points. A simple method is given for interpolating such time series based on cubic splines. The curve obtained is smooth (e.g. possesses continuous curvature) and does not depend on the choice of coordinate axes. An extension with the same desirable properties is given for the case where the given data are inexact. Copyright © 1979, Wiley Blackwell. All rights reserved
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页码:685 / 687
页数:3
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