  We use Matsui and Takeuchi's formula for toric A-discriminants to give
algorithms for computing local Euler obstructions and dual degrees of toric
surfaces and 3-folds. In particular, we consider weighted projective spaces. As
an application we give counterexamples to a conjecture by Matsui and Takeuchi.
As another application we recover the well-known fact that the only defective
normal toric surfaces are cones.
