ABSTRACT

Subdivision has the look and feel of a fractal procedure. In the standard fractal algorithm, we start with a compact set, iterate a collection of contractive transformations, and converge in the limit to a fractal shape. In Bezier subdivision, we start with a Bezier control polygon, iterate the de Casteljau subdivision algorithm, and converge in the limit to a Bezier curve (see Figure 29.1, bottom).