Title of article :
Real-Time NURBS Interpolator for Distributed Motion Control
Author/Authors :
Koninckx، نويسنده , , B. L. van Brussel، نويسنده , , H.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Pages :
4
From page :
315
To page :
318
Abstract :
Off-line toolpath planning for machine tools inevitably leads to suboptimal use of the given equipment and, even more important, excludes the possibility to accommodate for unforeseen or unmodelled effects. Online path planning however requires the availability of real-time interpolators which are both numerically efficient and deterministic and which do not depend on global information on the path to interpolate. Continuity of the interpolant up to higher derivatives is highly desirable. aper presents an interpolation scheme that meets all these requirements. The algorithm generates a third-order, C2-continuous Non Uniform Rational B-Spline curve from a series of exactly interpolated position and velocity setpoints. This curve is at all instants completely determined from the first up to the last available setpoint. It is shown that a new setpoint affects only the last control points and the end of the knot vector of the interpolant. A graphical interpretation of the algorithm and a discussion on numerical issues and start conditions are presented.
Keywords :
Real time interpolator , numerical control (NC) , distributed control
Journal title :
CIRP Annals - Manufacturing Technology
Serial Year :
2002
Journal title :
CIRP Annals - Manufacturing Technology
Record number :
2266361
Link To Document :
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