C^2連続化したAkima曲線とその性質 C^2 Continualized Akima Curves and Their Properties

この論文にアクセスする

この論文をさがす

著者

抄録

This paper presents three kinds of new <I>C<SUP>2</SUP></I> Akima curves: (1) which preserves the global shape of the <I>C<SUP>1</SUP></I> Akima curve, (2) which preserves directions of Akima's tangents and (3) which is closest to the <I>C<SUP>1</SUP></I> Akima curve from the point of the method of least squares. These curves are useful in the field of smooth curve fitting, computer graphics and computer aided geometric design, because these generate less oscillating global shape and can have straight line sections incorporated in themselves. These are also locally controllable and generated span - by - span. The new curves are based on the quartic <I>S</I>- splines with all the knots of multiplicity 2, which are obtained by degree - elevation in each span of the cubic interpolating <I>B</I>- splines. The relevant additional control points are determined on the basis of the local estimation scheme of tangents by Akima. For practical use, properties of these curves are analyzed in detail theoretically and experimentally.

収録刊行物

  • 図学研究  

    図学研究 (67), 17-23, 1995-03-01 

    日本図学会

参考文献:  9件

参考文献を見るにはログインが必要です。ユーザIDをお持ちでない方は新規登録してください。

各種コード

  • NII論文ID(NAID)
    10002846416
  • NII書誌ID(NCID)
    AN00125240
  • 本文言語コード
    JPN
  • 資料種別
    ART
  • ISSN
    03875512
  • NDL 記事登録ID
    4795720
  • NDL 雑誌分類
    ZM1(科学技術--科学技術一般)
  • NDL 請求記号
    Z14-457
  • データ提供元
    CJP書誌  NDL  J-STAGE 
ページトップへ