Minimal rational parametrizations of canal surfaces

被引：15
|
作者：
Krasauskas, R. [1 ]
机构：
[1] Vilnius Univ, Dept Math & Informat, LT-2600 Vilnius, Lithuania
来源：
COMPUTING | 2007年 / 79卷 / 2-4期
关键词：
canal surfaces; rational parametrization; rolling ball blend;
D O I：
10.1007/s00607-006-0204-0
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
It is well known that canal surfaces defined by a rational spine curve and a rational radius function are rational. The aim of the present paper is to construct a rational parameterization of low degree. The author uses the generalized stereographic projection in order to transform the problem to a parameterization problem for ruled surfaces. Two problems are discussed: parameterization with boundary conditions (design of canal surfaces with two curves on it, as is the case for rolling ball blends) and parameterization without boundary conditions.
引用
收藏
页码：281 / 290
页数：10
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