The invention relates to a method of selective additive manufacturing of a three-dimensional object from a layer of powder, the method comprising the steps of: - application of a layer of additive manufacturing powder on a support or on a layer previously consolidated, - emission of a laser beam on a first point of the additive manufacturing powder layer, so as to consolidate a first zone of the powder layer comprising the first point, the method further comprising - an adjustment of a power of the laser beam as a function of an estimated temperature variation of the powder layer at a second point distinct from the first point of the powder layer caused by the emission of the laser beam so as to consolidate the first zone of the powder layer powder, the estimated temperature variation being a function of the distance between the first point and the second point and of a predetermined time interval, an emission of a laser beam on the two th point with the power adjusted so as to consolidate a second zone of the powder layer comprising the second point, the emission of the laser beam on the first point and the emission of the laser beam on the second point being temporally separated from the predetermined time interval. Figure for the abstract: Fig. 10
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