A Description and Evaluation of Various 3-D Models

The use of parametric curves and surfaces for object modelling in computer graphics is becoming increasingly popular. There is sometimes, however, a reluctance to use them because it seems that the added power they give is more than offset by the complexity of their formulations and their computations. The purpose of this article is to clarify their meanings and uses and show how much they have in common behind the diversity of their formulations. The author discusses the properties and benefits of using the parametric Hermite, Coons, Bezier, B-spline, and Beta-spline curve and surface formulation