Linear-programming-based assessments of geometrical accuracy: Standard presentation and application area

An application of the linear programming (LP) approach to form and position accuracy assessments based on the minimum zone (MinZ) method is considered. The standard form of the optimization function and constraints using linearized form of the substitute feature is considered. A linearization-caused error is estimated by reference to the second order terms within the Taylor series expansion of the rotation matrix. The acceptable range of the LP-based assessments is defined for some levels of an allowable error. The LP-based assessment for a surface is simulated. Actual measurements show that the LP-based estimations have equal or fewer values in comparison with those obtained by other methods.