@ARTICLE{Poniatowska_Małgorzata_Simulation_2012, author={Poniatowska, Małgorzata and Werner, Andrzej}, number={No 1}, journal={Metrology and Measurement Systems}, pages={151-158}, howpublished={online}, year={2012}, publisher={Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation}, abstract={Geometric deviations of free-form surfaces are attributed to many phenomena that occur during machining, both systematic (deterministic) and random in character. Measurements of free-form surfaces are performed with the use of numerically controlled CMMs on the basis of a CAD model, which results in obtaining coordinates of discrete measurement points. The spatial coordinates assigned at each measurement point include both a deterministic component and a random component at different proportions. The deterministic component of deviations is in fact the systematic component of processing errors, which is repetitive in nature. A CAD representation of deterministic geometric deviations might constitute the basis for completing a number of tasks connected with measurement and processing of free-form surfaces. The paper presents the results of testing a methodology of determining CAD models by estimating deterministic geometric deviations. The research was performed on simulated deviations superimposed on the CAD model of a nominal surface. Regression analysis, an iterative procedure, spatial statistics methods, and NURBS modelling were used for establishing the model.}, type={Artykuły / Articles}, title={Simulation Tests of the Method for Determining a CAD Model of Free-Form Surface Deterministic Deviations}, URL={http://www.journals.pan.pl/Content/89882/PDF/Journal10178-VolumeXIX%20Issue1_14paper.pdf}, doi={10.2478/v10178-012-0014-y}, keywords={coordinate measurement, geometric deviation, free-form surface, regression analysis, CAD model}, }