Key points are not available for this paper at this time.
This paper presents a radically new approach to the century old problem of computing the implicit equation of a parametric surface. For surfaces without base points, the new method expresses the implicit equation in a determinant which is one fourth the size of the conventional expression based on Dixons resultant. If base points do exist, previous implicitization methods either fail or become much more complicated, while the new method actually simplifies.
Sederberg et al. (Sun,) studied this question.