Optimal Interpolation Algorithm Research Based on Quasi-Hermite Space Curve
According to the principle of parametric curve paths CNC interpolating, a real-time interpolation algorithm based on algebraic index of the micro-segment spline is presented. It’s used to solve the problems of Hermite polynomial interpolation algorithm, which are commonly slow recursive algorithm, poor accuracy of approximation and the limitations of constant parameters increment interpolation. And the constant interpolation is achieved by fitting a first-order Taylor Formula. Simulation results show that the algorithm shortens the interpolation time and also improve the interpolation accuracy; meanwhile, it maintains the stability of the feed rate.
C. C. Liang et al., "Optimal Interpolation Algorithm Research Based on Quasi-Hermite Space Curve", Advanced Materials Research, Vols. 317-319, pp. 215-221, 2011