Coy, Joanne (1991) The quantification of sampling error in coordinate measurement. PhD thesis, University of Warwick.

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Abstract

This work was canied out between October 1986 and February 1989 at the School
of Engineering, University of Warwick. The thesis begins with a review of the
configurations of coordinate measuring machines in common use and an investigation
into the types and magnitudes of the errors incurred due to various phenomena associated
with the design, deformation or misalignment of the machine components. Some of the
more significant of these errors are then measured and tabulated with a view to using
them as a comparison to further work. Methods by which these errors can be rectified are
then briefly reviewed.
Chapter 2 is concerned with the inadequacies associated with current coordinate
measuring machine software algorithm design. Measurement practices are reviewed and
sources of inconsistency or potential misinterpretation are identified. Sampling error is
singled out as being of particular significance.
Chapter 3 reviews geometric element fitting procedures and the errors that can
result from ill advised measuring practice. Systematic and random error analyses of the
errors incurred in the estimates of geometric parameters are reviewed and an original
investigation is performed into the errors incurred in parameters due to not considering
all possible data (sampling error.)
Chapter 4 presents an assessment of the nature of the problem of sampling error and
outlines the way in which a robust algorithm for the formal quantification of these errors
should be formulated.
Chapter 5 then identifies the criteria that would maximise the implementability of
an algorithm of this type. An algorithm satisfying these particular requirements is duly
developed.
Finally, chapter 6 consists of an investigation into the effect of probe geometry on
the phenomenon of sampling errors. A method is then developed whereby the probe
geometry that will minimise sampling error can be readily selected.

Item Type:	Thesis (PhD)
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Library of Congress Subject Headings (LCSH):	Coordinate measuring machines
Official Date:	May 1991
Dates:	Date Event May 1991 Submitted
Institution:	University of Warwick
Theses Department:	School of Engineering
Thesis Type:	PhD
Publication Status:	Unpublished
Extent:	xi, 262 leaves
Language:	eng

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