A METHOD OF REAL-TIME NURBS INTERPOLATION WITH CONFINED CHORD ERROR FOR CNC SYSTEMS
Abstract
This paper presents a method of real-time CNC interpolation for free-form NURBS curves. The interpolation algorithm is based on second order Taylor’s expansion with the principle part being a formula for updating the parametric value u after each sampling period. With the updated value of u, a new interpolated point is calculated based on the DeBoor’s algorithm. In this paper, an efficient method of limiting chord error introduced by the interpolation algorithm is also presented with the basic idea of reducing machining feedrate at positions with a radius of curvature smaller than a critical value.
Keywords
CNC interpolation; CAD/CAM; NURBS; DeBoor’s algorithm
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PDFDOI: https://doi.org/10.15625/2525-2518/55/5/9206 Display counter: Abstract : 100 views. PDF : 88 views.
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Published by Vietnam Academy of Science and Technology