C1 analysis of some 2D subdivision schemes refining point-normal pairs with the circle average

被引：3
|
作者：
Lipovetsky, Evgeny [1 ,3 ]
Dyn, Nira [2 ]
机构：
[1] Tel Aviv Univ, Sch Comp Sci, Tel Aviv, Israel
[2] Tel Aviv Univ, Sch Math Sci, Tel Aviv, Israel
[3] Tel Aviv Univ, Tel Aviv, Israel
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2019年 / 69卷
关键词：
Subdivision of 2D point-normal pairs; Circle average; 2D curve design; Modified Lane-Riesenfeld algorithm; Modified 4-Point scheme; Smoothness analysis by proximity;
D O I：
10.1016/j.cagd.2019.01.001
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This article continues the investigation started in Lipovetsky and Dyn (2016) on subdivision schemes refining 2D point-normal pairs, obtained by modifying linear subdivision schemes using the circle average. While in Lipovetsky and Dyn (2016) the convergence of the Modified Lane-Riesenfeld algorithm and the Modified 4-Point schemes is proved, here we show that the curves generated by these two schemes are C-1. (C) 2019 Elsevier B.V. All rights reserved.
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页码：45 / 54
页数：10
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