The Total Inertial Steering approach proposed in this paper can perform an optimum
correction of the geometric deviations of the manufactured part with respect to its
digital model, from the measured points on its surfaces. In the case of production by
machine tool numerical control, there exist a link between the tool offsets and deviations
of measured points. An incidence matrix which represents this link is obtained. In most
cases, this matrix is not square and therefore not invertible, because there are more
measured points as correctors to adjust. The Gauss pseudo-inverse is used to calculate the
values of corrections to be made to compensate for measured deviations. Tolerances
associated with the surfaces must also be taken into account in the incidence matrix.
However, when the same cutting tool machine two surfaces with different point values, the
resulting solution favors the one with the highest number of points, at the expense of the
other surface which can remain not conform towards its tolerance. This paper proposes a
strategy to rebalance the correction surfaces, and this regardless of the number of points
and tolerance of each surfaces. A relatively simple tutorial example is given in the paper
to enable tracking calculations.