Bezier curve Named for the French mathematician Pierre Bézier, a Bezier curve is a curved line defined by mathematical formulas. There are at least three points used to define the curve: the two endpoints of the curve are called the anchor points, while the other point or points, which define the actual curvature, are called handles (or sometimes tangent points or nodes). Moving the handles lets you modify the shape of the curve. Almost any graphics editing program worthy of the name provides support for drawing Bezier curves.