A system for fabricating a component, said system comprising: an additive manufacturing device configured to fabricate a first component by sequentially forming a plurality of superposed layers based upon a nominal digital representation of a second component relating to an uncompensated digital representation, wherein the nominal digital representation comprises a plurality of nominal digital two-dimensional cross-sections, each nominal digital two-dimensional cross-section corresponding to a layer of the first component; and a computing device coupled to said additive manufacturing device, said computing device comprising a memory device configured to store the nominal digital representation of the second component, said computing device further comprising a processor, wherein for an i th layer of the first component said processor is configured to: (a) generate a cumulative compensation transformation associated with the i th layer, the cumulative compensation transformation configured to transform a digital two-dimensional cross-section of a digital representation by the total or cumulative, compensation transformations applied to all preceding digital two-dimensional cross-sections; (b) apply the cumulative compensation transformation associated with the i th layer to the nominal digital two-dimensional cross-section corresponding to the i th layer to create an intermediate digital two-dimensional cross-section corresponding to the i th layer; (c) determine a local compensation transformation for the i th layer, the local compensation transformation referring to a localized difference between one or more geometric characteristics of an intermediate digital two-dimensional cross-section and a corresponding layer of the fabricated first component; (d) apply the local compensation transformation for the i th layer to the intermediate digital two-dimensional cross-section corresponding to the i th layer to create a compensated digital two-dimensional cross-section corresponding to the i th layer; and (e) perform (a) through (d) for at least one other layer of the first component. an additive manufacturing device configured to fabricate a first component by sequentially forming a plurality of superposed layers based upon a nominal digital representation of a second component relating to an uncompensated digital representation, wherein the nominal digital representation comprises a plurality of nominal digital two-dimensional cross-sections, each nominal digital two-dimensional cross-section corresponding to a layer of the first component; and a computing device coupled to said additive manufacturing device, said computing device comprising a memory device configured to store the nominal digital representation of the second component, said computing device further comprising a processor, wherein for an i th layer of the first component said processor is configured to: (a) generate a cumulative compensation transformation associated with the i th layer, the cumulative compensation transformation configured to transform a digital two-dimensional cross-section of a digital representation by the total or cumulative, compensation transformations applied to all preceding digital two-dimensional cross-sections; (b) apply the cumulative compensation transformation associated with the i th layer to the nominal digital two-dimensional cross-section corresponding to the i th layer to create an intermediate digital two-dimensional cross-section corresponding to the i th layer; (c) determine a local compensation transformation for the i th layer, the local compensation transformation referring to a localized difference between one or more geometric characteristics of an intermediate digital two-dimensional cross-section and a corresponding layer of the fabricated first component; (d) apply the local compensation transformation for the i th layer to the intermediate digital two-dimensional cross-section corresponding to the i th layer to create a compensated digital two-dimensional cross-section corresponding to the i th layer; and (e) perform (a) through (d) for at least one other layer of the first component. (a) generate a cumulative compensation transformation associated with the i th layer, the cumulative compensation transformation configured to transform a digital two-dimensional cross-section of a digital representation by the total or cumulative, compensation transformations applied to all preceding digital two-dimensional cross-sections; (b) apply the cumulative compensation transformation associated with the i th layer to the nominal digital two-dimensional cross-section corresponding to the i th layer to create an intermediate digital two-dimensional cross-section corresponding to the i th layer; (c) determine a local compensation transformation for the i th layer, the local compensation transformation referring to a localized difference between one or more geometric characteristics of an intermediate digital two-dimensional cross-section and a corresponding layer of the fabricated first component; (d) apply the local compensation transformation for the i th layer to the intermediate digital two-dimensional cross-section corresponding to the i th layer to create a compensated digital two-dimensional cross-section corresponding to the i th layer; and (e) perform (a) through (d) for at least one other layer of the first component.