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Unformatted text preview: x( u ,v ) ⎪ (6) ⎨ y = y( u ,v ) . ⎪ z = z( u ,v ) ⎩ Naturally, for a parametric representation of a surface, “other parameters” are hidden inside equation (6) besides the independent variable u and v (i.e. the radius for parametric equation of a sphere). For a revolute surface one of the two parameters belongs to the interval [0 , 2π ] . Be v this parameter. Then, it is possible to write: v ∈ [0, 2π ] . The simulated surface was generated sampling points from two perfect surfaces characterised by two different value of the “other parameters”. This simulation procedure of datasets was implemented following the well-established Carr and Ferreira method [Carr et al, 1995]. The difference between these two parameters is the tolerance measured horizontally, i.e., along the x-y plane. The resulting form tolerance, defined according the ASME Y 14.5-1994 standard, of the generated revolute surfaces can be calculated by simple calculations. The results are reported in the fifth column of Tables 162 W. Polini, U. Prisco and...
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