Fast and Robust Triangle-Triangle Overlap Test Using Orientation Predicates

Abstract

This paper presents an algorithm for determining whether two triangles in three dimensions intersect. The general scheme is identical to the one proposed by Moller [Möller 97]. The main difference is that our algorithm relies exclusively on the sign of 4 × 4 determinants and does not need any intermediate explicit constructions which are the source of numerical errors. Besides the fact that the resulting code is more reliable than existing methods, it is also more efficient. The source code is available online.