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Unformatted text preview: and runout; and their subclasses. The Standards permit as many as three different tolerances (e.g., size, orientation, and form) on the same feature. The interaction of form and size tolerance applied to a feature constitutes Rule #1 of the Standards. The major bottleneck, in computerizing the tolerance specification and the downstream analysis and allocation, is the lack of a compact math model. One summary of various attempts to model the variations that are described in the Standards appears in [Davidson, et al., 2002], including a comparison with our model. [Pasupathy, et al., 2003] review the literature for ways to construct geometric tolerance-zones, with special attention to singular points at the vertices of polyhedral objects. In summary, the other models contribute substantially towards representing geometric variations and tolerances, but each model either does not represent, or has not been developed to represent, all the variations that are described in the Standards. The aspects o...
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