Computational dimensional metrology, coordinates least square form fitting: plane, circle, cylinder, sphere. Numerical reference frame. Geometric dimensioning and tolerancing (GD&T) deviation analysis: form, orientation, position. Uncertainty estimation: analytical and numerical derivatives, Monte Carlo. Geometric error modelling of serial machines: ISO nomenclature, vectorial and homogenous transformation equations, parametric and volumetric errors. Machine tool metrology: identification Jacobian, confounded variables, Gauss-Newton solution, machine tool calibration, direct versus indirect methods, ballbar, laser interferometry, artefact probing, reversal methods. Precision engineering principles.