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PUBLICATIONS

ROLE OF MEDIAN CURVES AND SURFACES AND THEIR COMPUTATIONS IN COORDINATE METROLOGY

Published

Author(s)

Craig Shakarji, Kexin Yin, Qunfen Qi, Edward Morse, Vijay Srinivasan

Abstract

This paper explores a novel role for median curves and surfaces in coordinate metrology, and the techniques to compute these curves and surfaces. The role includes the important problem of identifying potential outliers in two- and three-dimensional geometrical measurements and grouping the measured data into zones of containment without any prejudice to the assumption of underlying probabilistic models. It is shown that using the orthogonal l_1-norm in the computation of median curves and surfaces leads to several desirable equivariant and invariant properties. It is also shown that using widely available, free, and open-source software packages renders the task of computing median straight lines, planes, circles, and spheres both easy and efficient. This opens a new avenue for interesting research and industrial applications for coordinate metrology.
Proceedings Title
Proceedings of ASME IMECE 2024 International Mechanical Engineering Congress and Exposition
Conference Dates
November 17-21, 2024
Conference Location
Portland, OR, US
Conference Title
ASME IMECE 2024 International Mechanical Engineering Congress and Exposition
Pub Type
Conferences

Keywords

coordinate metrology, curve fitting, least absolute deviations, median, outlier, robustness, standards, surface fitting
Numerical methods and software and Dimensional metrology

Citation

Shakarji, C. , Yin, K. , Qi, Q. , Morse, E. and Srinivasan, V. (2024), ROLE OF MEDIAN CURVES AND SURFACES AND THEIR COMPUTATIONS IN COORDINATE METROLOGY, Proceedings of ASME IMECE 2024 International Mechanical Engineering Congress and Exposition, Portland, OR, US (Accessed October 13, 2025)

Issues

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Created November 15, 2024
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