G 2-degree reduction of disk Bézier curves

Abedallah Rababah, Yusuf Fatihu Hamza

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

Abstract

A disk Bézier curve is a Bézier curve whose control points are disks. It can be considered as a parametric curve with error tolerances. In this paper, we propose method to find G2-multi degree reduction of disk Bézier curves based on two stages. The center and the radius curves are degree reduced using G2-continuity in the first stage and minimizing the error of approximating the radius curve in the second stage. We give some examples and figures to demonstrate the efficiency of the method.

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

  • and G-continuity
  • degree reduction
  • Disk Bézier curves
  • G-continuity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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