Bspline solids manipulation with Mathematica

Abstract

Bspline solids are used for solid objects modeling in R3. Mathematica incorporates a several commands to manipulate symbolic and graphically Bspline basis functions and to graphically manipulate Bsplines curves and surfaces; however, it does not incorporate any command to the graphical manipulation of Bspline solids. In this paper, we describe a new Mathematica program to compute and plotting the Bspline solids. The output obtained is consistent with Mathematica's notation. The performance of the commands are discussed by using some illustrative examples.