Curve and surface construction based on the generalized toric-Bernstein basis functions

  title={Curve and surface construction based on the generalized toric-Bernstein basis functions},
  author={Jinggai Li and Chungang Zhu},
  journal={Open Mathematics},
  pages={36 - 56}
Abstract The construction of parametric curve and surface plays an important role in computer aided geometric design (CAGD), computer aided design (CAD), and geometric modeling. In this paper, we define a new kind of blending functions associated with a real points set, called generalized toric-Bernstein (GT-Bernstein) basis functions. Then, the generalized toric-Bézier (GT-Bézier) curves and surfaces are constructed based on the GT-Bernstein basis functions, which are the projections of the… Expand
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