A method includes the following steps: a step of automatically measuring centering characteristics of the lens; a step of blocking the lens on a cutting-out element; a step of cutting out the lens; and a plurality of steps of acquiring axial coordinates of acquired points of a face of the lens, including a first acquisition of axial coordinates of the lens prior to blocking the lens on the cutting-out element, and a second step of acquisition by feeling that is subsequent to the blocking step.