抄録
We present algorithms for computing the differential geometry properties of lines of curvature of parametric surfaces. We derive a unit tangent vector, curvature vector, binormal vector, torsion, and algorithms to evaluate their higher-order derivatives of lines of curvature of parametric surfaces. Among these quantities, it is shown that the curvature and its first derivative of the lines of curvature lend a hand for the formation of curved plates in shipbuilding. We also visualize the twist of lines of curvature, which enables us to observe how much the osculating plane of the line of curvature turns about the tangent vector.
本文言語 | English |
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ページ(範囲) | 224-238 |
ページ数 | 15 |
ジャーナル | Graphical Models |
巻 | 76 |
号 | 4 |
DOI | |
出版ステータス | Published - 2014 7月 |
外部発表 | はい |
ASJC Scopus subject areas
- ソフトウェア
- モデリングとシミュレーション
- 幾何学とトポロジー
- コンピュータ グラフィックスおよびコンピュータ支援設計