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.

引用

页码：45 / 54

页数：10

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