A system for fabricating a component includes an additive manufacturing device and a computing device. The additive manufacturing device is configured to fabricate a first component by sequentially forming a plurality of superposed layers based upon a nominal digital representation of a second component, which includes a plurality of nominal digital two-dimensional cross-sections, each corresponding to a layer of the first component. The computing device includes a processor, wherein for an ith layer of the first component, the processor is configured to (a) generate a cumulative compensation transformation; (b) apply the cumulative compensation transformation to the nominal digital two-dimensional cross-section corresponding to the ith layer to create an intermediate digital two-dimensional cross-section corresponding to the ith layer; (c) determine a local compensation transformation; and (d) apply the local compensation transformation to the intermediate digital two-dimensional cross-section corresponding to the ith layer.