  Let $X$ be a complex analytic manifold, $D\subset X$ a locally
quasi-homogeneous free divisor, $E$ an integrable logarithmic connection with
respect to $D$ and $L$ the local system of the horizontal sections of $E$ on
$X-D$. In this paper we give an algebraic description in terms of $E$ of the
regular holonomic D-module whose de Rham complex is the intersection complex
associated with $L$. As an application, we perform some effective computations
in the case of quasi-homogeneous plane curves.
