TY - JOUR N2 - 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. L1 - http://www.czasopisma.pan.pl/Content/89882/PDF/Journal10178-VolumeXIX%20Issue1_14paper.pdf L2 - http://www.czasopisma.pan.pl/Content/89882 PY - 2012 IS - No 1 EP - 158 DO - 10.2478/v10178-012-0014-y KW - coordinate measurement KW - geometric deviation KW - free-form surface KW - regression analysis KW - CAD model A1 - Poniatowska, MaƂgorzata A1 - Werner, Andrzej PB - Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation DA - 2012 T1 - Simulation Tests of the Method for Determining a CAD Model of Free-Form Surface Deterministic Deviations SP - 151 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/89882 T2 - Metrology and Measurement Systems ER -