Tensor Product q-Bernstein Bezier Patches

DİŞİBÜYÜK Ç., ORUÇ H.

4th International Conference on Numerical Analysis and Applications, Lozenetz, Bulgaristan, 16 - 20 Haziran 2008, cilt.5434, ss.265-272 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 5434
  • Doi Numarası: 10.1007/978-3-642-00464-3_28
  • Basıldığı Şehir: Lozenetz
  • Basıldığı Ülke: Bulgaristan
  • Sayfa Sayıları: ss.265-272
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this work we define a new de Casteljau type algorithm, which is in barycentric form, for the q-Bernstein Bezier curves. We express the intermediate points of the algorithm explicitly in two ways. Furthermore we define tenser product patches, based on this algorithm, depending on two parameters. Degree elevation procedure for the tensor product patch is studied. Finally, the matrix representation of tensor product patch is given and we find the transformation matrix between classical tensor product Bezier patch and tensor product q-Bernstein Bezier patch.