[en] Automatic radiation therapy treatment planning necessitates a very fast computation of the dose delivered to the patient. We propose to compute the dose by segmenting the patient's phantom into homogeneous meshes, and by associating, to the meshes, projections to dose distributions pre-computed in homogeneous phantoms, along with weights managing heterogeneities. The dose computation is divided into two steps. The first step impacts the meshes: projections and weights are set according to physical and geometrical criteria. The second step impacts the voxels: the dose is computed by evaluating the functions previously associated to their mesh. This method is very fast, in particular when there are few points of interest (several hundreds). In this case, results are obtained in less than one second. With such performances, practical realization of automatic treatment planning becomes practically feasible. (author)