Models for Smooth Curve Fitting

Abstract

Automatic control of plotters, tool machines, or robots is getting more and more important in industry. Most of the tools to be controlled require a smooth movement at a speed as high as possible, with respect to the materials of tool and work-piece. Often the movement is steered via several joints giving rise to a fairly high dimension of the control space. In this paper, parametric splines are used to handle such problems and a method for the optimal choice of the knot parameters is presented.