Determining CMM Motion on Free-Form Objects Using Implicit Polynomials
Hulya Yalcin, William Wolovich


This paper addresses the question of determining the motion tracked by a coordinate measuring machine (CMM) on an entire free-form curve or surface defined by an implicit polynomial (IP) equation. We also develop procedures for quantifying the errors in manufactured parts during test and measurement. In particular, given an IP equation of a model object, we describe how the stylus of a CMM can be programmed to move along the surface of a newly manufactured object in order to make tests and measurements along the path. The points along the path of the stylus are determined from the model IP equation.

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