Weak Approximate Implicitization

SINTEF S183Weak approximate implicitization is a method for findingan algebraic hypersurface q(x) = 0 approximating a parametricallyrepresented manifold p(s) by minimizing the integral of the square of q(p(s)). We show that the properties of the original approach to approximate implicitization, such asthe high convergence rates and the approximation of multiplemanifolds, are inherited by weak approximate implicitization.While the computational speed of weak approximateimplicitization is better than for the original approach, therounding errors are slightly larger.