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."