G 0 - And G 1 -degree reduction of disk Bezier curves

Abedallah Rababah, Yusuf Fatihu

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

1 Citation (Scopus)

Abstract

In this paper, we propose methods based on two stages to find G0- and G1- multi degree reductions of disk Bezier curves. The first stage is degree reducing the centre and radius curves and the second stage is approximating the error radius curve. An example is given to illustrate the efficiency of the proposed method which shows that our method outperforms existing methods and guarantees geometric continuity conditions at the boundary disks which is very important in CAD and geometric modeling.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
EditorsTheodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735412873
DOIs
Publication statusPublished - Mar 10 2015
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
Duration: Sep 22 2014Sep 28 2014

Publication series

NameAIP Conference Proceedings
Volume1648
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
Country/TerritoryGreece
CityRhodes
Period9/22/149/28/14

Keywords

  • Disk Bezier curves
  • G-continuity
  • G-continuity
  • degree reduction

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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