Corner cutting curves and a new characterization of Bezier and B-spline curves

被引：9
|
作者：
Aumann, G
机构：
[1] Mathematisches Institut II, Universität Karlsruhe
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 1997年 / 14卷 / 05期
关键词：
corner cutting; convex hull property; interpolation; contact; Bezier curves; B-spline curves;
D O I：
10.1016/S0167-8396(96)00039-8
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We call a curve c corner cutting, if each single point of c can be received from a given polygon by a finite corner cutting process. We prove some results about these curves, especially about interpolation and contact. The obtained results will give a new geometric characterization of Bezier and B-spline curves. (C) 1997 Elsevier Science B.V.
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页码：449 / 474
页数：26
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