• DocumentCode
    1843387
  • Title

    Family of G2 cubic transition curves

  • Author

    Habib, Zulfiqar ; Sakai, Manabu

  • Author_Institution
    Dept. of Math. & Comput. Sci., Kagoshima Univ., Japan
  • fYear
    2003
  • fDate
    16-18 July 2003
  • Firstpage
    117
  • Lastpage
    122
  • Abstract
    Walton & Meek (1996) obtained a fair G2 cubic transition spiral curve joining a straight line and a circle. We derive a family of cubic transition spiral curves joining them. We not only simplify and extend their analysis but also provide more degrees of freedom with less restrictive shape control parameters. The idea of straight line to circle transition has been extended to straight line to straight line transition which is more flexible and comfortable for practical use.
  • Keywords
    computational geometry; quadtrees; rendering (computer graphics); G2 cubic transition spiral curve; circle transition; cubic curve; shape control parameter; straight line transition; transition curve; Graphics; Solid modeling; Spirals;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Geometric Modeling and Graphics, 2003. Proceedings. 2003 International Conference on
  • Print_ISBN
    0-7695-1985-7
  • Type

    conf

  • DOI
    10.1109/GMAG.2003.1219675
  • Filename
    1219675
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1843387