Kriging and splines, and their application to the characterization of near-circular features

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1994
Authors
Ahn, Hae-Il
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Herbert T. David
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Industrial and Manufacturing Systems Engineering
The Department of Industrial and Manufacturing Systems Engineering teaches the design, analysis, and improvement of the systems and processes in manufacturing, consulting, and service industries by application of the principles of engineering. The Department of General Engineering was formed in 1929. In 1956 its name changed to Department of Industrial Engineering. In 1989 its name changed to the Department of Industrial and Manufacturing Systems Engineering.
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Spatial prediction methods are briefly reviewed in an attempt to apply the methodology to a manufacturing problem of geometric shape estimation. While stochastic kriging models and deterministic spline models differ in origin and professed objectives, the latter may be viewed in terms of the former; in particular in terms of intrinsically stationary isotropic kriging. Several methods such as surface splines and multiquadrics are interpreted in kriging terms to the effect that the methodology is looked upon as being unified under the name of spatial prediction. The main purpose of this work is to develop an approach to the estimation of form error of machined parts or wear-pattern of used parts, presumably measured by 3-coordinate measuring machine, in an effort to have the analysis rooted in spatial prediction. While this study may find applicability in machining generally, the estimation of geometric objects featuring roundness is focused on.

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Sat Jan 01 00:00:00 UTC 1994