Tensor Product q −Bernstein Bézier Patches
In this work we define a new de Casteljau type algorithm, which is in barycentric form, for the q −Bernstein Bézier curves. We express the intermediate points of the algorithm explicitly in two ways. Furthermore we define tensor 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 Bézier patch and tensor product q −Bernstein Bézier patch.
KeywordsTensor Product Transformation Matrix Point Interpolation Bernstein Polynomial Intermediate Point
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