Construction of a new class of Bezier-like curves


YILMAZ CEYLAN A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.44, no.9, pp.7659-7665, 2021 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 44 Issue: 9
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.6531
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.7659-7665
  • Keywords: Bernstein basis, Bezier curve, Bezier-like basis, Bezier-like curve
  • Akdeniz University Affiliated: Yes

Abstract

The goal of this paper is to define a new Bezier-like curve, which has many applications in computer graphics and related areas. By applying an integral approach, we construct a new Bezier-like basis in the space Gamma m=span1,t,t2, horizontal ellipsis ,tm-2,et,e-t. Using Bezier-like basis, we define Bezier-like curves. We then compare the Bezie-like basis and curves with the classical Bezier basis and curves, respectively.