Methods and apparatuses to fabricate additive manufactured parts with in-process monitoring are described. As parts are formed layer-by-layer, a 3D measurement of each layer or layer group may be acquired. The acquisition of dimensional data may be performed at least partially in parallel with the formation of layers. The dimensional data may be accumulated until the part is fully formed, resulting in a part that was completely inspected as it was built. The as-built measurement data may be compared to the input geometrical description of the desired part shape. Where the part fails to meet tolerance, it may be amended during the build process or rejected.