Weighted Combination Interpolation by Piecewise Cubic Polynomial on Triangulations

@article{Qian2010WeightedCI,
  title={Weighted Combination Interpolation by Piecewise Cubic Polynomial on Triangulations},
  author={Yu Qian and Li Ying},
  journal={2010 International Conference on Artificial Intelligence and Computational Intelligence},
  year={2010},
  volume={2},
  pages={256-260}
}
  • Yu Qian, Li Ying
  • Published 2010 in
    2010 International Conference on Artificial…
A new method for constructing polynomial interpolation surface on triangulations is given. Triangulating the given data points into triangle network, and the surface patch on each triangle is constructed by the weighted combination of three cubic patches, each of which interpolates the three vertices of the triangle and is C1 continue on one edge respectively. All triangle patches are put together to form the whole surface with C1 continuity, and the constructed triangular patch reproduces… CONTINUE READING