In 3D computer graphics, a lathed object is a 3D model whose vertex geometry is produced by rotating the points of a spline or other point set around a fixed axis.
The lathing may be partial; the amount of rotation is not necessarily a full 360 degrees.
The point set providing the initial source data can be thought of as a cross section through the object along a plane containing its axis of radial symmetry.
However, lathes are constructed by rotating a curve defined by a set of points instead of a function.
Note that this means that lathes can be constructed by rotating closed curves or curves that double back on themselves (such as the aforementioned torus), whereas a surface of revolution could not because such curves cannot be described by functions.