• DocumentCode
    820357
  • Title

    Using tangent balls to find plane sections of natural quadrics

  • Author

    Miller, James R. ; Goldman, Ronald N.

  • Author_Institution
    Dept. of Comput. Sci., Kansas Univ., Lawrence, KS, USA
  • Volume
    12
  • Issue
    2
  • fYear
    1992
  • fDate
    3/1/1992 12:00:00 AM
  • Firstpage
    68
  • Lastpage
    82
  • Abstract
    Geometric constructions for computing plane sections of the natural quadric surfaces that operate on planes and natural quadrics in general position and orientation are developed. The procedures separate geometric descriptions of the resulting conic sections. The algorithms are extremely fast, numerically robust, and do not employ coordinate system transformations of any sort.<>
  • Keywords
    computational geometry; computer graphics; computer graphics; conic sections; geometric constructions; geometric descriptions; natural quadrics; plane sections; system transformations; tangent balls; Computational geometry; Computer aided manufacturing; Design automation; Design engineering; Equations; Polynomials; Robustness; Solid modeling; Systems engineering and theory; Virtual manufacturing;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/38.124290
  • Filename
    124290