Double NURBS trajectory generation and synchronous interpolation for five-axis machining based on dual quaternion algorithm

@article{Zhang2016DoubleNT,
  title={Double NURBS trajectory generation and synchronous interpolation for five-axis machining based on dual quaternion algorithm},
  author={Jun Zhang and Liqiang Zhang and Kai Zhang and Jian Mao},
  journal={The International Journal of Advanced Manufacturing Technology},
  year={2016},
  volume={83},
  pages={2015-2025}
}
An equidistant double NURBS tool paths (EDNTP) fairing method satisfying the given fitting accuracy is proposed for the linear tool path in work coordinate system (WCS). By utilizing dual-quaternion to describe five-axis tool posture, the linear tool path in WCS is fitted with dual-quaternion B-spline vector function in order to obtain the equidistant double NURBS curves P and Q describing the coordinate points of tool tip and tool axis, respectively. Then, due to the different parameters of… 

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