A full procedure is developed in this paper for evaluating the power radiated by an antenna under test from a nonredundant number of near-field measurements collected by the innovative planar wide-mesh scanning. It can be applied for the antenna directivity evaluation whenever the power radiated by the antenna in the backward half-space is negligible. Such a procedure makes use of a closed form formula for computing the total radiated power from the knowledge of the radiation intensity samples on the far-field sphere. These samples are determined via a probe compensated near-field — far-field transformation. An optimal sampling interpolation formula is also used for their evaluation. The effectiveness of the proposed procedure is assessed b...