Symbolic Manipulation of Bspline Basis Functions with Mathematica

Authors:
A. Iglesias;R. Ipanaqué;R. T. Urbina
Affiliations:
Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros, s/n, E-39005, Santander, Spain;Department of Mathematics, National University of Piura, Urb. Miraflores s/n, Castilla, Piura, Perú;Department of Mathematics, National University of Piura, Urb. Miraflores s/n, Castilla, Piura, Perú
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Year:
2007

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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 Mathematicaprogram 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.