• DocumentCode
    2172086
  • Title

    G2 planar spiral cubic interpolation to a spiral

  • Author

    Habib, Zulfiqar ; Sakai, Manabu

  • Author_Institution
    Dept. of Math. & Comput. Sci., Kagoshima Univ., Japan
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    51
  • Lastpage
    56
  • Abstract
    We show that two-point G2 Hermite cubic spline interpolation to a smooth spiral is a spiral. Its unit tangent matches given unit tangents and its signed curvature matches given signed curvatures at end points of the given spiral. Spiral segments are useful in the design of fair curves and have the advantages that there are no unplanned curvature maxima, curvature minima, or inflection points, and that loops and cusps are impossible within a segment.
  • Keywords
    computational geometry; curve fitting; data visualisation; interpolation; splines (mathematics); end points; fair curve design; signed curvature; smooth spiral; spiral segments; two-point G2 Hermite cubic spline interpolation; unit tangent; Equations; Interpolation; Spirals; Spline;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Visualisation, 2002. Proceedings. Sixth International Conference on
  • ISSN
    1093-9547
  • Print_ISBN
    0-7695-1656-4
  • Type

    conf

  • DOI
    10.1109/IV.2002.1028755
  • Filename
    1028755
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2172086