  A hyperbolic semi-ideal polyedron is a polyedron whose vertices lie inside
the hyperbolic space $\mathbf{H}^{3}$ or at infinity. A hyperideal polyedron
is, in the projective model, the intersection of $\mathbf{H}^{3}$ with a
projective polyhedron whose vertices all lie outside of $\mathbf{H}^{3}$, and
whose edges all meet $\mathbf{H}^{3}$. We classify semi-ideal polyhedra in
terms of their dual metric, using the results of Rivin and Hodgson in
\cite{comp} et \cite{idea}. This result is used to obtain the classification of
hyperideal polyhedra in terms of their combinatorial type and their dihedral
angles. These two results are generalized to the case of fuchsian polyhedra.
