• DocumentCode
    825769
  • Title

    An introduction to polar forms

  • Author

    Seidel, Hans-Peter

  • Author_Institution
    Erlangen Univ., Germany
  • Volume
    13
  • Issue
    1
  • fYear
    1993
  • Firstpage
    38
  • Lastpage
    46
  • Abstract
    Polar forms, which simplify the construction of polynomial and piecewise-polynomial curves and surfaces and lead to new surface representations and algorithms, are reviewed. The polar forms of polynomial curves, Bezier curves, and B-spline are discussed. Tensor product surfaces, the most popular surfaces in computer-aided geometric design, true surfaces, Bezier triangles, B-patches, and a triangular B-spline scheme that combines B-patches and simplex splines are also discussed.<>
  • Keywords
    computational geometry; piecewise polynomial techniques; splines (mathematics); B-patches; Bezier curves; Bezier triangles; computer-aided geometric design; new surface representations; piecewise-polynomial curves; polar forms; simplex splines; triangular B-spline scheme; true surfaces; Application software; Computer graphics; Interpolation; Labeling; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/38.180116
  • Filename
    180116