A New Method for Knot Placement of B-Spline Curve Approximation and Interpolation

摘要

A new knot placement method for B-Spline curve fitting to a set of ordered points is presented in this paper. It is a unified explicit formula that applies to both approximation and interpolation. The experiments designed by authors show that this method is effective and it has the advantage of keeping bilateral symmetry features inherently in the data points unchanged in the resulting approximation cure, which means it can reflect more essential shape features of original data than the existing ones, and has the potential of being widely used in practices. This knot placement method is simple, convenient and pervasive, while the curves obtained by it can provide more flexible options for the shape design work.