Representing Conics using NURBS of Degree Two*
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Date
1992
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Publisher
Blackwell Science Ltd and the Eurographics Association
Abstract
In this paper, a new method is presented for representing conics precisely using NURBS of degree two. The method requires only four control vertices to represent a full circle using the full circumscribing square-based representation, which is less than the number required with the other methods using the square control vertex configuration.9, 10, 13 The paper also derives a new condition for NURBS to represent conics precisely and shows the sufficient and necessary conditions for representation of a circular arc, and gives the definition and the knot vector formulae of a periodic NURBS curve.
Description
@article{10.1111:1467-8659.1150285,
journal = {Computer Graphics Forum},
title = {{Representing Conics using NURBS of Degree Two*}},
author = {Qin, Kaihuai and Sun, Jiaguang and Wang, Xuefu},
year = {1992},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1150285}
}