• DocumentCode
    3315246
  • Title

    Reachable regions for spiral segments and applications in geometric modelling

  • Author

    Habib, Zulfiqar ; Sakai, Manabu

  • Author_Institution
    Dept. of Math. & Comput. Sci., Kagoshima Univ., Japan
  • fYear
    2004
  • fDate
    26-29 July 2004
  • Firstpage
    21
  • Lastpage
    26
  • Abstract
    We obtain a G2 fair curve by adding a spiral segment to one end of an existing curve. The added segments are cubic and Pythagorean hodograph quintic spirals. We derive the more explicit reachable regions for the end points of the added spirals. Spiral segments are useful in the design of fair curves. The advantage of our technique is its more flexible control of the curvature and inflection points of a designed curve.
  • Keywords
    computational geometry; solid modelling; Pythagorean hodograph quintic spirals; cubic segments; curvature point; fair curves; geometric modelling; inflection point; reachable regions; spiral segments; Application software; Computer graphics; Computer science; Image segmentation; Mathematics; Solid modeling; Spirals;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Graphics, Imaging and Visualization, 2004. CGIV 2004. Proceedings. International Conference on
  • Print_ISBN
    0-7695-2178-9
  • Type

    conf

  • DOI
    10.1109/CGIV.2004.1323955
  • Filename
    1323955
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3315246