Tensor Product q-Bernstein Bezier Patches


4th International Conference on Numerical Analysis and Applications, Lozenetz, Bulgaria, 16 - 20 June 2008, vol.5434, pp.265-272 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 5434
  • Doi Number: 10.1007/978-3-642-00464-3_28
  • City: Lozenetz
  • Country: Bulgaria
  • Page Numbers: pp.265-272
  • Dokuz Eylül University Affiliated: Yes


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.