THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING
Influence of data points density on geometrical accuracy of interpolation surface
- 1 Faculty of Mechanical Engineering, Czech Technical University in Prague, Czech Republic
Abstract
Interpolation is one of widely used methods reconstructing the shape of a freeform surface from data points obtained by measurement. The geometrical accuracy of the resulting reconstructed surface is expressed as a range of normal deviations of the surface from the original shape and depends mainly on the density of the input data points. In the paper, a method to determine the g eometrical accuracy of the interpolation surface fitted through a set of definition points arranged in a structured quadrilateral mesh with a given density is described. Practical application of this method is demonstrated on the processing of experimental data mathematically generated from a known CAD model of suitably chosen freeform surface
Keywords
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