Using Low-Discrepancy Sequences and the Crofton Formula to Compute Surface Areas of Geometric Models

The surface area of a geometric model, like its volume, is an important integral property that needs to be evaluated frequently and accurately in practice. In this paper we present a new quasi-Monte Carlo method using low-discrepancy sequences for computing the surface area of a 3D object. We show that the new method is more e#cient than a Monte Carlo method using pseudo-random numbers