A method is provided for making a workpiece in an additive manufacturing process in which a starting material is solidified in a layer by layer fashion, with each layer of the workpiece being solidified using a patterned image of radiant energy configured as a two-dimensional grid array of pixels. The method includes: for each layer of the workpiece, determining a preferred angular orientation of the grid array, relative to the layer; and orienting the patterned image to the preferred angular orientation before solidifying the starting material for that layer.