Uniform B-spline curve interpolation with prescribed tangent and curvature vectors

Shoichi Okaniwa*, Ahmad Nasri, Hongwei Lin, Abdulwahed Abbas, Yuki Kineri, Takashi Maekawa

*この研究の対応する著者

研究成果査読

33 被引用数 (Scopus)

抄録

This paper presents a geometric algorithm for the generation of uniform cubic B-spline curves interpolating a sequence of data points under tangent and curvature vectors constraints. To satisfy these constraints, knot insertion is used to generate additional control points which are progressively repositioned using corresponding geometric rules. Compared to existing schemes, our approach is capable of handling plane as well as space curves, has local control, and avoids the solution of the typical linear system. The effectiveness of the proposed algorithm is illustrated through several comparative examples. Applications of the method in NC machining and shape design are also outlined.

本文言語English
論文番号6035703
ページ(範囲)1474-1487
ページ数14
ジャーナルIEEE Transactions on Visualization and Computer Graphics
18
9
DOI
出版ステータスPublished - 2012
外部発表はい

ASJC Scopus subject areas

  • ソフトウェア
  • 信号処理
  • コンピュータ ビジョンおよびパターン認識
  • 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

フィンガープリント

「Uniform B-spline curve interpolation with prescribed tangent and curvature vectors」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル