Sharp error bounds for piecewise linear interpolation of planar curves

被引：4
|
作者：
Degen, W. L. F. [1 ]
机构：
[1] Univ Stuttgart, Inst Geometrie & Topol, D-70569 Stuttgart, Germany
来源：
COMPUTING | 2007年 / 79卷 / 2-4期
关键词：
error bounds; linear interpolation; curvature;
D O I：
10.1007/s00607-006-0193-z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Curves are commonly drawn by piecewise linear interpolation, but to worry about the error is rather seldom. In the present paper we give a strong mathematical error analysis for curve segments with bounded curvature and length. Though the result seems very clear, the proof turned out to be unexpectedly hard, comparable to that of the famous four vertex theorem.
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页码：143 / 151
页数：9
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