Beta-Bezier Surfaces

In this paper, the concept of tension control [1] is developed for Bezier surfaces so that one can reshape a so-called Beta-Bezier surface without moving its control points, a property motivated by NURBS surfaces but can be performed more efficiently and in a friendlier manner with the new surface representation technique. In addition to developing the concept of tension control for Bezier surfaces, an efficient rectangular mesh interpolation scheme for Beta-Bezier surfaces is also developed.