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 technology, and provide little guidance for how tolerances should be verified 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 technique using jackknifing for geometric tolerance verification. The techniques are constructed for the superquadric parametric model representation, but are applicable to any parametric representation. The techniques are illustrated by examples, and a simulation study is provided for comparison.