implicitization of bihomogeneous parametrizations of algebraic surfaces via linear syzygies
We show that the implicit equation of a surface in 3-dimensional projective space parametrized by bi-homogeneous polynomials of bi-degree ( d,d )for a given integer d ?1 can be represented and computed from the linear syzygies of its parametrization if the base points are isolated and form locally a complete intersection.
implicitization linear syzygies approximation complexes