• DocumentCode
    2227267
  • Title

    Hermite interpolation on sphere

  • Author

    Habib, Zulfiqar ; Sakai, Manabu

  • Author_Institution
    Dept. of Math. & Comput. Sci., Kagoshima Univ., Japan
  • fYear
    2005
  • fDate
    26-29 July 2005
  • Firstpage
    416
  • Lastpage
    421
  • Abstract
    We consider the shape of two point Hermite interpolation on the sphere. A three-parameter family of spherical rational quartic curves has been derived. We derive the singularity conditions theoretically and discuss the shape of the solutions, which is characterized by the presence of loops and cusps on restricted as well as whole segment. Our results can be used to develop a practical scheme for spherical Hermite interpolation, which would generate quartic spherical C1 Hermite splines.
  • Keywords
    computational geometry; curve fitting; interpolation; splines (mathematics); surface fitting; quartic spherical Hermite spline; spherical Hermite interpolation; spherical rational quartic curve;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Graphics, Imaging and Vision: New Trends, 2005. International Conference on
  • Print_ISBN
    0-7695-2392-7
  • Type

    conf

  • DOI
    10.1109/CGIV.2005.42
  • Filename
    1521097
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2227267