It is a required preliminary for considering the best

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Unformatted text preview: acquisition of the surfaces results in a series of set of points. Each set of points represents a sample of the surface where it has been acquired. It contains however both information about the spatial localization of the surface and its intrinsic geometrical characteristics. In order to access the geometrical dimensions of the part, the sets of points must be interpreted by a specific algorithm. The first step of this process consists in describing each set of points by a mathematical model matching with the expected surface. In the second step, the parameters of the mathematical model are then optimized to define the best surface fitting the acquired points. The particular model obtained after the best fit is performed, is called the derived element of the surface. These two steps transform the real surfaces into mathematical objects easy to handle. The geometrical specifications 191 J.K. Davidson (ed.), Models for Computer Aided Tolerancing in Design and Manufacturing, 1 9 1 – 200. © 2007 Springer. 192 S. Aranda et...
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