G codes for the specification of Pythagorean-hodograph tool paths and associated feedrate functions on open-architecture CNC machines

@inproceedings{Farouki1999GCF,
  title={G codes for the specification of Pythagorean-hodograph tool paths and associated feedrate functions on open-architecture CNC machines},
  author={Rida T. Farouki and Jairam Manjunathaiah and Guo-Feng Yuan},
  year={1999}
}
A new class of machine codes for the specification of Pythagorean-hodograph (PH) curve tool paths, and associated feedrate functions, is proposed. The PH curves are a special family of free-form curves, compatible with the Be ́zier/B-spline representations of CAD systems, that are amenable to real-time interpolation at constant or variable feedrate directly from their exact analytic descriptions. The proposed codes are compatible with ‘ordinary’ (linear/circular) G codes, and may be regarded as… CONTINUE READING
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