Representing Conics using NURBS of Degree Two*

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Date
1992
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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.
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@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
} }
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