Some applications of new spline spaces in computer aided geometric design

Abstract

Aim of this paper is to describe how the so called Variable Degree Polynomial Spaces can be used for the construction of C3 spatial curves, approximating or interpolating a given set of data. Their main advantages rely in the easy control on their shape, provided by the variable degrees, and in the low computational cost, comparable with that of standard quintic splines.

Keywords

• spline curves
• interpolation
• best approximation
• shape preservation
• tension property