Interpolation by geometric algorithm

@article{Maekawa2007InterpolationBG,
  title={Interpolation by geometric algorithm},
  author={Takashi Maekawa and Yasunori Matsumoto and Ken Namiki},
  journal={Computer-Aided Design},
  year={2007},
  volume={39},
  pages={313-323}
}
We present a novel geometric algorithm to construct a smooth surface that interpolates a triangular or a quadrilateral mesh of arbitrary topological type formed by n vertices. Although our method can be applied to B-spline surfaces and subdivision surfaces of all kinds, we illustrate our algorithm focusing on Loop subdivision surfaces as most of the meshes are in triangular form. We start our algorithm by assuming that the given triangular mesh is a control net of a Loop subdivision surface… CONTINUE READING
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