Computation of rotation minimizing frames

@article{Wang2008ComputationOR,
  title={Computation of rotation minimizing frames},
  author={Wenping Wang and Bert J{\"u}ttler and Dayue Zheng and Yang Liu},
  journal={ACM Trans. Graph.},
  year={2008},
  volume={27},
  pages={2:1-2:18}
}
Due to its minimal twist, the rotation minimizing frame (RMF) is widely used in computer graphics, including sweep or blending surface modeling, motion design and control in computer animation and robotics, streamline visualization, and tool path planning in CAD/CAM. We present a novel simple and efficient method for accurate and stable computation of RMF of a curve in 3D. This method, called the double reflection method, uses two reflections to compute each frame from its preceding one to… CONTINUE READING

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