COMPARISON OF PARAMETERIZATION METHODS USED FOR B-SPLINE CURVE INTERPOLATION

Abstract

In this work we deal with the enterpolation of B-spline curves to fiven data points. B-spline curves are generated and compared with the given data points by various parameterization methods. To perform B-spline curve interpolation on the input data, the parameterization and the node vector must be generated using the input data. For parameterization purposes, uniform, chord length, centripetal, Foley, universal and similar methods have been developed. The uniform method gives good results if the data points are regular. Chord-to-beam parameterization can produce undesirable oscillations in long chords. Therefore, the centripetal method has been developed which operates according to the square root of the chord distance. In this study, these methods were compared with different data sets

Keywords

• B-spline, interpolation, parameterization