2D piecewise algebraic splines for implicit modeling

@article{Li20092DPA,
  title={2D piecewise algebraic splines for implicit modeling},
  author={Qingde Li and Jie Tian},
  journal={ACM Trans. Graph.},
  year={2009},
  volume={28},
  pages={13:1-13:19}
}
2D splines are a powerful tool for shape modeling, either parametrically or implicitly. However, compared with regular grid-based tensor-product splines, most of the high-dimensional spline techniques based on nonregular 2D polygons, such as box spline and simplex spline, are generally very expensive to evaluate. Though they have many desirable mathematical properties and have been proved theoretically to be powerful in graphics modeling, they are not a convenient graphics modeling technique in… CONTINUE READING

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