An extension to the bezier sub-division method to completely approximate curves and surfaces

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Sub-division splines generate a number of new control points calculated fron the old control points. Both control polygons/grids define the same curve/surface. At each iteration the resulting new points are much greater in number than the old points and lie nearer to the actual curves. After a number of iterations, the generated points lie on the actual curve, very close to each other, and by displaying them on a computer screen the result is a smooth curve/surface. This paper describes a method, which is an extension to the Bezier sub-division method, where the resulting curve is an approximation curve which interpolates only the first and the last control points. The method is also derived for surfaces.

Original languageEnglish
Title of host publicationGRAPP 2008 - Proceedings of the 3rd International Conference on Computer Graphics Theory and Applications
Pages143-146
Number of pages4
Publication statusPublished - 2008
EventGRAPP 2008 - 3rd International Conference on Computer Graphics Theory and Applications - Funchal, Madeira, Portugal
Duration: 22 Jan 200825 Jan 2008

Other

OtherGRAPP 2008 - 3rd International Conference on Computer Graphics Theory and Applications
CountryPortugal
CityFunchal, Madeira
Period22/01/0825/01/08

Keywords

  • Curves
  • Geometric modelling
  • Splines
  • Surfaces

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  • Cite this

    Savva, A., Stylianou, V., & Portides, G. (2008). An extension to the bezier sub-division method to completely approximate curves and surfaces. In GRAPP 2008 - Proceedings of the 3rd International Conference on Computer Graphics Theory and Applications (pp. 143-146)