Weighted G 0-and G 1-multi-degree reduction of Bézier curves

Abedallah Rababah, Salisu Ibrahim

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

1 Citation (Scopus)

Abstract

In this paper, weighted G0-and G1-multi-degree reduction of Bézier curves are considered. The degree reduction of a given Bézier curve of degree n is used to write it as a Bézier curve of degree m, m < n. Exact degree reduction is not possible, and, therefore approximation methods are used. The weight function w[t] = 2t(1 - t), t ϵ [0, 1] is used with the L2 -norm in multi degree reduction with G0- and G1- continuity at the end points of the curve. Numerical results and comparisons show that the new methods suggests smaller approximation errors in the interior of the domain and proves to be competative in applications.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
EditorsTheodore E. Simos, Theodore E. Simos, Charalambos Tsitouras, Theodore E. Simos
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735413924
DOIs
Publication statusPublished - Jun 8 2016
Externally publishedYes
EventInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 - Rhodes, Greece
Duration: Sep 23 2015Sep 29 2015

Publication series

NameAIP Conference Proceedings
Volume1738
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Country/TerritoryGreece
CityRhodes
Period9/23/159/29/15

Keywords

  • Bézier curves
  • and geometric continuity
  • multiple degree reduction

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Weighted G 0-and G 1-multi-degree reduction of Bézier curves'. Together they form a unique fingerprint.

Cite this