Geometric tolerance verification using superquadrics

Standards for Geometric Tolerance Verification such as ANSI Y14.5 have been in practice for many years. These standards were developed for hard gage t echnology, and provide little guidance for how tolerances should be verifie d for flexible technologies such as coordinate measuring machines or laser scanners. As a result, most techniques used in practice do not make use of proper statistical analysis of results. We present a statistically-based te chnique using jackknifing for geometric tolerance verification. The techniq ues are constructed for the superquadric parametric model representation, b ut are applicable to any parametric representation. The techniques are illu strated by examples, and a simulation study is provided for comparison.