1. An apparatus for transforming target points for integrating a component into an assembly comprising: a metrology system for measuring a set of component target points and a set of assembly target points; and a computer operable to: identify target points common to the set of component target points and the set of assembly target points; perform a specified number of Monte Carlo transformations of selected ones of the common target points to yield a set of transformed target points and an associated uncertainty value for each transformed target point; and using certain ones of the transformed target points for integrating the component into the assembly based on the associated uncertainty value for each of the transformed target points.