A generalization of rational Bernstein-Bezier curves
BIT NUMERICAL MATHEMATICS, cilt.47, sa.2, ss.313-323, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 47 Sayı: 2
- Basım Tarihi: 2007
- Doi Numarası: 10.1007/s10543-006-0111-y
- Dergi Adı: BIT NUMERICAL MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.313-323
- Anahtar Kelimeler: q-Bernstein polynomials, rational Bezier curves, de Casteljau algorithm, subdivision, degree elevation
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
This paper is concerned with a generalization of Bernstein-Bezier curves. A one parameter family of rational Bernstein-Bezier curves is introduced based on a de Casteljau type algorithm. A subdivision procedure is discussed, and matrix representation and degree elevation formulas are obtained. We also represent conic sections using rational q-Bernstein-Bezier curves.