**Bezier Curves**

**ABSTRACT:
**"Bezier curves (more generally, Bezier surfaces) are

prevalent in computer graphics, including typesetting and surface

modeling software. I will define an n-degree Bezier curve, give

examples, and elude to a numerically stable method for evaluating these

curves. Transformations (scaling, rotation, translation) can be applied

to the control points of a Bezier curve to respectively transform the

curve. These transformations will be explained, and additional examples

will be given. Rational Bezier curves allow for greater flexibility and

will be explained."