This paper addresses the problem of finding whether a given set of three-dimensional (3-D) vectors (the object) can be brought to match a second set of vectors (the template) by means of an affine motion, minimizing a measure of the mismatch error and satisfying an assigned set of geometrical constraints. This problem is encountered in many applications of computer vision, robotics, and manufac...

Rigorous and precise formulation of tolerancing and dimensioning plays an important role in tolerance evaluation using CMMs. In this paper, we rst present a uniied geometric formulation of form tolerances using an extended least-squares E-LSQ approach. Then, using properties of connguration space of symmetric features an iterative algorithm is developed to solve the E-LSQ problem. Simulation re...

This paper arises from our concern for the level of teaching of engineering drawing at tertiary institutions in Australia. Little attention is paid to teaching hand drawing and tolerancing. Teaching of engineering drawing is usually limited to Computer-Aided Design (CAD) using AutoCAD or one of the solid modelling packages. As a result, many engineering graduates have difficulties in understand...

The metrology implemented in several classical software equipping the coordinate measuring machines, does not correspond to the standardized tolerancing by zones, virtual conditions and perfect datum features fitted outside the matter. On the basis of these concepts and by generalizing them, a conceptual model of "fitting virtual gauges" is presented. On a part presenting two positional toleran...