Our purpose is to provide an augmented reality system for Radio-Frequency guidance that could superimpose a 3D model of the liver, its vessels and tumors (reconstructed from CT images) on external video images of the patient. In this paper, we point out that clinical usability not only need the best affordable registration accuracy, but also a certification that the required accuracy is met, since clinical conditions change from one intervention to the other. Beginning by addressing accuracy performances, we show that a 3D/2D registration based on radio-opaque fiducials is more adapted to our application constraints than other methods. Then, we outline a lack in their statistical assumptions which leads us to the derivation of a new extended 3D/2D criterion. Careful validation experiments on real data show that an accuracy of 2 mm can be achieved in clinically relevant conditions, and that our new criterion is up to 9% more accurate, while keeping a computation time compatible with rea...