The concept of surface curvature dates from work by Gauss in the 1820s but practical applications have only been possible with the advent of powerful workstations in recent years.

In order to explain the concept of curvature, let's first focus on a two-dimensional curve on a x-y coordinate (Figure 1). This curved line can be thought of being made up of many arcs of a circle, with differing centers and radii. The curvature at any given point on this curve is the reciprocal of the radius of the particular arc at that point. It can also be defined...

You do not currently have access to this article.