Modelling the Measurement Uncertainty by Intervals

Fabiana Zamora Wilke (Instituto de Informática - UFRGS, Brazil)

Beatriz Regina Tavaresg Franciosi (Instituto de Informática - UFRGS/PUCRS, Brazil)

Paulo Werlang Werlang Oliveira (Instituto de Informática - PUCRS, Brazil)

Dalcidio Moraes Claudio (Instituto de Informática - PUCRS, Brazil)

Abstract: This paper presents a proposal of measuring uncertain modelling referred to a geometrical model obtained from a Coordinate Measuring Machine (CMM). The measurement of objects by CMM is achieved considering a particular region of measurement described through a set of finitely many points which defines the ideal reference mesh and it is exposed to, at least, three kinds of error: systematical, aleatory and rounding error. For each point of this mesh is associated the measure error bounds. Those ones have two components: error direction, and error numerical value. The measure error bound identification, as showed in this paper, makes possible to know about the best region to measure a specific object with smallest error bound.

Keywords: co-ordinate measure machine, interval computing, mathematical modelling, measure uncertainty

Categories: G.0