Research on Look-Ahead Adaptive Interpolation of NURBS Based on de Boor Algorithm

Abstract

This paper realizes direct interpolation of NURBS with use of solving the non-linear equation and de Boor algorithm, which improves the efficiency greatly by avoiding computing the derivatives and basic functions; meanwhile, look-ahead adaptive interpolation algorithm (LAIA) adjusts the feedrate according to the curvature to guarantee the contour accuracy, and the new backtracking and re-interpolation strategy makes it more efficient. Reverse interpolation with use of NURBS symmetry is proposed to predict the deceleration point precisely. The algorithm performs very well in experiments, which prove its viability and reliability.