A New Method Applied to the Multi-Parametric Nonlinear Compensations of Computer Numeric Control Bender

Abstract

Complex Moving Least Squares and its key attributes as basis functions and support region radius were discussed and studied in this paper. Owing to the weak performance of traditional Moving Least Squares when applied to asymmetrical sampling points set, an improved Moving Least Squares named dynamic radius Moving Least Squares was designed, whose support regions radius at fitting point dynamically adjust as the density of local point subset. At last, it is applied to multi-parametric nonlinear compensation of computer numeric control bender through comparative fitting experiments and simulations on couples of data compared to traditional Moving Least Squares. The results of experiments and simulations indicate that the new algorithm makes a great progress on computational complexity, fitting smoothness and fitting accuracy, especially the accuracy in dense points region compared to traditional Moving Least Squares.