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# A simulated surface was thus computed such

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Unformatted text preview: z-map representation of the workpiece has not to be rejected but simply extended. In the extended model that is proposed here, the z-axis are not constructed on a grid, but theirs intersections with the x/y plane (xi and yi), are built randomly (figure 3). Practically, theses two coordinates are generated by a Monte Carlo method, assuming a uniform surface probability density. Such procedure allows 196 S. Aranda et al. reaching a reliable representation of the population of the surface points with a limited number of points. From here, the z-axis coordinates will be expressed in the coordinate system R p (O p , x p , y p , z p ) of the part. z y z f(y) y with : Z-axis i (xi, yi, hi) f(x) = cte = 1/ surface width f(y) = cte = 1/ surface height f(x) x x Figure 3; Proposed workpiece representation 3.2. Tool representation First, a coordinate system R t (O t , x t , y t , z t ) is associated to the tool. Vector z t corresponds to the tool axis, direction x t is located in the bottom plane of the tool and vector y t is defined by the Vectorial...
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## This note was uploaded on 08/03/2010 for the course DD 1234 taught by Professor Zczxc during the Spring '10 term at Magnolia Bible.

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