• DocumentCode
    1265660
  • Title

    The curvature of characteristic curves on surfaces

  • Author

    Theisel, Holger ; Farin, Gerald

  • Author_Institution
    Dept. of Comput. Sci., Rostock Univ., Germany
  • Volume
    17
  • Issue
    6
  • fYear
    1997
  • Firstpage
    88
  • Lastpage
    96
  • Abstract
    Analyzing and interrogating designed surfaces remains an important and widely researched issue in computer-aided geometric design (CAGD). Treating families of characteristic curves on the surface proves a popular method of doing this. We show how to compute the curvature and geodesic curvature of characteristic curves on surfaces, such as contour lines, lines of curvature, asymptotic lines, isophotes, and reflection lines
  • Keywords
    CAD; computational geometry; curve fitting; data visualisation; surface fitting; CAGD; asymptotic lines; characteristic curves; computer-aided geometric design; contour lines; curvature; designed surfaces; geodesic curvature; isophotes; lines of curvature; reflection lines; surfaces; visualization; Equations; Geophysics computing; Reflection;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/38.626974
  • Filename
    626974
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1265660