Geometric degree reduction of Bézier curves

Abedallah Rababah, Salisu Ibrahim

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

We consider the weighted-multi-degree reduction of Bézier curves. Based on the fact that exact degree reduction is not possible, therefore approximative process to reduce a given Bézier curve of high degree n to a Bézier curve of lower degree m, m < n is needed. The weight function is used to better representing the approximative curve at some parts that need more details, and the error is greater than other parts. The L2 norm is used in the degree reduction process. Numerical results and comparisons are supported by examples. The numerical results obtained from the new method yield minimum approximation error, improve the approximation in some parts of the curve, and show up possible applications in science and engineering.

Original languageEnglish
Title of host publicationSpringer Proceedings in Mathematics and Statistics
PublisherSpringer New York LLC
Pages87-95
Number of pages9
DOIs
Publication statusPublished - 2018

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume253
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Keywords

  • Bézier curves
  • Geometric continuity
  • Multiple degree reduction

ASJC Scopus subject areas

  • General Mathematics

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