• DocumentCode
    1518409
  • Title

    A simple technique for NURBS shape modification

  • Author

    Sánchez-Reyes, Javier

  • Author_Institution
    Dept. of Mech. Eng., Polytech. Univ., Barcelona, Spain
  • Volume
    17
  • Issue
    1
  • fYear
    1997
  • Firstpage
    52
  • Lastpage
    59
  • Abstract
    Non-uniform rational B-splines (NURBS) have become a de-facto industry standard primarily because they offer a unified mathematical form for representing both freeform shapes and analytical curves or surfaces. Despite these advantages, designers need software that lets them work with NURBS in a natural way. The paper presents a unified approach to NURBS shape modification that builds on a perspective functional transformation of arbitrary origin and provides a homogeneous interface based on simple, easily understood geometric concepts
  • Keywords
    computational geometry; computer graphics; curve fitting; splines (mathematics); surface fitting; NURBS shape modification; analytical curves; de-facto industry standard; freeform shapes; geometric concepts; mathematical form; nonuniform rational B-splines; surfaces; Focusing; H infinity control; Polynomials; Shape control; Spline; Surface reconstruction; Surface topography;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/38.576858
  • Filename
    576858