A generalization of rational Bernstein-Bezier curves

Dişibüyük Ç., Oruc H.

BIT NUMERICAL MATHEMATICS, cilt.47, sa.2, ss.313-323, 2007 (SCI-Expanded) identifier identifier

  • 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, POLYNOMIALS
  • 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.