HOW TO APPROXIMATE COSINE CURVE WITH 4<SUP>TH</SUP> AND 6<SUP>TH</SUP> ORDER BEZIER CURVE IN PLANE?

Kilicoglu S., YURTTANÇIKMAZ S.

THERMAL SCIENCE, cilt.26, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/tsci22s2559k
  • Dergi Adı: THERMAL SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Atatürk Üniversitesi Adresli: Evet

Özet

There are many ways to approximate cosine curve. In this study we have examined the way how the cosine curve can be written as any order Bezier curve. As a result using the Maclaurin series we have examined cosine curve as the 4(th) and the 6(th) order Bezier curve based on the control points with matrix form in E-2. We give the control points of the 4(th) and the 6(th) order Bezier curve based on the coefficients. Also we give the coefficients based on the the control points of the 4(th) and the 6(th) order Bezier curve too.