1. A method of providing transformed target points for integrating a component into an assembly comprising: collecting a set of component target points and vectors; collecting a set of assembly target points and vectors; identifying target points common to the set of component target points and the set of assembly target points; performing a specified number of Monte Carlo transformations of selected ones of the common target points to yield a set of transformed target points and vectors and an associated uncertainty value for each transformed target point and vector; 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.