Construction of a new class of Bezier-like curves

YILMAZ CEYLAN A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.44, sa.9, ss.7659-7665, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.6531
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.7659-7665
  • Anahtar Kelimeler: Bernstein basis, Bezier curve, Bezier-like basis, Bezier-like curve
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.