Normals of the butterfly subdivision scheme surfaces and their applications

被引：4
|
作者：
Shenkman, P [1 ]
Dyn, N [1 ]
Levin, D [1 ]
机构：
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1999年 / 102卷 / 01期
关键词：
triangulation; subdivision; butterfly scheme; regular and irregular points; normals; offsets; shading;
D O I：
10.1016/S0377-0427(98)00213-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper presents explicit formulas for calculating normals to surfaces generated by the butterfly interpolatory subdivision scheme from a general initial triangulation of control points. Two applications of these formulas are presented: building offsets to surfaces generated by the butterfly scheme and Gouraud shading of surfaces generated by this scheme as well as shading of their offsets. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：157 / 180
页数：24
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