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In modern NC machining, interpolation of spatial motion such as spatial arc and spiral line is significant. Based on the quaternion interpolation algorithm and S curve velocity planning, we have discovered a method which can be used to machine spatial arc and spiral line. This method uses the quaternion to describe the arc interpolation in three-dimensional space. The arc information is transformed...
In modern CNC machining, the interpolation of complex profile curve with high speed and high accuracy is required. Based on B spline curve theory, a revised algorithm of cubic B spline curve interpolation is presented in the paper. This proposed algorithm gives a new method which is based on pre-judgment of machining feedrate to calculate the tangent vectors of spline curve junction. The tangential...
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