Standard Article

Parametric Surface Rendering

  1. Frederick W. B. Li

Published Online: 14 DEC 2007

DOI: 10.1002/9780470050118.ecse682

Wiley Encyclopedia of Computer Science and Engineering

Wiley Encyclopedia of Computer Science and Engineering

How to Cite

Li, F. W. B. 2007. Parametric Surface Rendering. Wiley Encyclopedia of Computer Science and Engineering. .

Author Information

  1. University of Durham, United Kingdom

Publication History

  1. Published Online: 14 DEC 2007


Parametric surface is a surface defined by a tensor-product of parametric curves, which are represented by parametric equations. As such a surface comes with a well-defined mathematical definition, it becomes one of the most common geometric tools for computer-aided geometric design and for the object modeling aids of many computer graphics applications. Typical examples of such a surface include Bézier surfaces and non-uniform rational B-Spline (NURBS) surfaces. Unfortunately, because most existing graphics hardware only handle polygons, extra procedures must be carried out to convert a parametric surface into a polygon representation for rendering. This process introduces a significant bottleneck to graphics applications, which involve parametric surfaces, to assure interactiveness in terms of rendering performance.


  • B-Spline surface;
  • NURBS surfaces;
  • Bézier triangle;
  • pixel based rendering;
  • polygon based rendering;
  • deformable surfaces