Systems and method for presenting a free-form drawing are described. In some aspects, a first point, a second point, and a third point from an input curve in the free-form drawing are received. A first quadratic Bezier curve is determined, where a control point of the first quadratic Bezier curve includes the second point and endpoints of the first quadratic Bezier curve include the first point and the third point. A first portion of the first quadratic Bezier curve is provided for display, where endpoints of the first portion of the first quadratic Bezier curve include the first point and a second terminal point, and where the first portion of the first quadratic Bezier curve does not include the third point.