Abstract: A method (P) for determining trajectory followed by a laser beam for selective additive manufacture of a three-dimensional object comprises: a) determining, on a predetermined reference path (Ti), a plurality of reference points (Tij), b) determining a plurality of 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 melt zone that surrounds said adjacent point (Ti+1j) and a simulated reference melt zone that surrounds the reference point (Tij) have an overlap corresponding to a fraction of a transverse width of the simulated reference melt zone that is comprised between a predetermined minimum fraction (?min) and a predetermined maximum fraction (?max), c) determining an adjacent path (Ti+1) passing through the plurality of determined adjacent points, and d) iterating steps a) to c) using the adjacent path, defined as a new reference path, so as to determine, on each iteration

Abstract: A process for the selective additive manufacture of a three-dimensional object from a layer of powder comprises: applying a layer of additive manufacturing powder to a support or to a previously consolidated layer, emitting a laser beam onto a first point of the layer of additive manufacturing powder so as to consolidate a first zone of the layer of powder comprising the first point, adjusting a power of the laser beam depending on an estimated temperature variation of the layer of powder at a second point, separate from the first point, and emitting a laser beam onto the second point with the adjusted power so as to consolidate a second zone of the layer of powder comprising the second point, the emission of the laser beam onto the first point and onto the second point being temporally separated by the predetermined time interval.