The document discusses various interpolation methods used in CNC machining, including linear, circular, and parametric interpolation. It notes that while linear interpolation is simple, it results in faceted tool paths and reduced accuracy. Circular interpolation allows curved tool paths but is limited to 2 axes. Parametric interpolation, including NURBS, generates points directly on the desired curve, avoiding segmentation issues and allowing higher speeds and accuracy. NURBS interpolation in particular allows more efficient representation of complex geometries.
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