２次有理Ｂｅｚｉｅｒ曲線および２次ＮＵＲＢＳの同次表現について

• 楼 林

  学生会員 早稲田大学大学院

• 吉田 典正

  正会員 早稲田大学理工学部

• 花蜜 宏晃

  学生会員 早稲田大学大学院

• 山口 富士夫

  正会員 早稲田大学理工学部

書誌事項

タイトル別名

• The Homogeneous Representation of Quadratic Rational Bezier Curve and NURBS.
• 2ジ ユウリ Bezier キョクセン オヨビ 2ジ NURBS ノ ドウジ

抄録

Rational curves such as rational Bézier curves and NURBS are widely being used in CAD and CAGD, and defining them as homogeneous curves in homogeneous space has many advantages in geometric processing. In this paper, some properties of quadratic rational Bézier curves and NURBS defined in homogeneous space are discussed. First, the relationship between the two kinds of homogeneous curves is studied. Secondly, the implicit form of quadratic homogeneous Bézier curves is derived, and by using the implicit form, the inclusion test and the conic classification (hyperbola, parabola, and ellipse) are performed. Finally, the fact that a whole conic can be represented as one homogenized NURBS is shown. The properties discussed here are more general than those of conventional rational curves.

収録刊行物

• 精密工学会誌

  精密工学会誌 63 (4), 504-508, 1997

  公益社団法人 精密工学会

キーワード

• CAD
• CAGD
• rational curves
• quadratic curves
• homogeneous coordinate

詳細情報

• CRID: 1390282679742159104
• NII論文ID: 110001372231
• NII書誌ID: AN1003250X
• DOI: 10.2493/jjspe.63.504
• ISSN: 1882675X
• ISSN: 09120289
• NDL書誌ID: 4184073
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4184073
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可