Trajectoire adaptative pour fabrication additive utilisant une source laser

The invention relates to a method (P) for determining the path followed by a selective additive manufacturing laser beam of a three-dimensional object, the laser beam being intended to be emitted to a layer of powder and moved along a path consisting of a plurality of adjacent paths so as to melt the powder layer, characterised in that the paths are determined by implementing the following steps: a) determining, on a predetermined reference path (Ti), several reference points (Tij), b) determining several adjacent points (Ti+1j) located on the same side of the reference path, each adjacent point (Ti+1j) being associated with a reference point (Tij) and being such that a simulated adjacent melting zone which surrounds the adjacent point (Ti+1j) and a simulated reference melting zone which surrounds the reference point (Tij) have an overlap corresponding to a fraction of a transverse width of the simulated reference melting zone which is between a predetermined minimum fraction and a predetermined maximum fraction, c) determining an adjacent path (Ti+1) passing through the several determined adjacent points, d) iterating steps a) to c) using the determined adjacent path as a new reference path, so as to determine, in each iteration, a new adjacent path, the set of thus determined adjacent paths defining the path intended to be followed by the laser beam, the path being stored and/or transmitted to a control unit of a selective additive manufacturing device.