Symbolic manipulation of bspline basis functions with Mathematica

Abstract

Bspline curves and surfaces are the most common and most important geometric entities in many fields, such as computer design and manufacturing (CAD/CAM) and computer graphics. However, up to our knowledge no computer algebra package includes especialized symbolic routines for dealing with Bsplines so far. In this paper, we describe a new Mathematica program to compute the Bspline basis functions symbolically. The performance of the code along with the description of the main commands are discussed by using some illustrative examples. © Springer-Verlag Berlin Heidelberg 2007.