• DocumentCode
    2973523
  • Title

    Approximating parametric curves with strip trees using affine arithmetic

  • Author

    De Figueiredo, Luiz Henrique ; Stolfi, Jorge ; Velho, Luiz

  • Author_Institution
    Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brazil
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    163
  • Lastpage
    170
  • Abstract
    We show how to use affine arithmetic to represent a parametric curve with a strip tree. The required bounding rectangles for pieces of the curve are computed by exploiting the linear correlation information given by affine arithmetic. As an application, we show how to compute approximate distance fields for parametric curves.
  • Keywords
    computational geometry; solid modelling; tree data structures; affine arithmetic; approximate distance fields; bounding rectangles; geometric modeling; interval arithmetic; linear correlation information; parametric curves approximation; strip tree; Approximation algorithms; Arithmetic; Computer displays; Heart; Multiresolution analysis; Solid modeling; Strips; Testing; Tree data structures; Tree graphs;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Graphics and Image Processing, 2002. Proceedings. XV Brazilian Symposium on
  • ISSN
    1530-1834
  • Print_ISBN
    0-7695-1846-X
  • Type

    conf

  • DOI
    10.1109/SIBGRA.2002.1167139
  • Filename
    1167139