Computing the minimum distance between a point and a clamped B-spline surface

@article{Chen2009ComputingTM,
  title={Computing the minimum distance between a point and a clamped B-spline surface},
  author={Xiao-Diao Chen and Gang Xu and Jun-Hai Yong and Guozhao Wang and Jean-Claude Paul},
  journal={Graphical Models},
  year={2009},
  volume={71},
  pages={107-112}
}
The computation of the minimum distance between a point and a surface is important for the applications such as CAD/CAM, NC verification, robotics and computer graphics. This paper presents a spherical clipping method to compute the minimum distance between a point and a clamped B-spline surface. The surface patches outside the clipping sphere which do not contain the nearest point are eliminated. Another exclusion criterion whether the nearest point is on the boundary curves of the surface is… CONTINUE READING

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