Butler, B P; Forbes, A B; Kenward, P D (1998) Position calibration software: Fortran implementation of algorithms to determine frame of reference from measurements of registration points. NPL Report. CISE 14/98

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Abstract

This report documents a Fortran implementation of software to determine transformations linking different frames of reference from the measurement of registration points. This problem arises in determining the position and orientation of an artefact by tracking the position of three or more points (registration points) which move rigidly with the artefact. The software finds least squares estimates of the transformation parameters and locations of the registration points in a common frame of reference. These estimates are calculated efficiently by a nonlinear least squares solver which takes full account of the structure of the matrix equations defining the solution. An initial estimation module determines good starting values for the optimisation parameters. There are also modules for calculating standard uncertainties of the fitted parameters and related quantities. The software can be applied directly to the measurement of large or complex artefacts using staging or repositioning methods in coordinate metrology.

Item Type:	Report/Guide (NPL Report)
NPL Report No.:	CISE 14/98
Subjects:	Mathematics and Scientific Computing Mathematics and Scientific Computing > Modelling
Last Modified:	02 Feb 2018 13:18
URI:	http://eprintspublications.npl.co.uk/id/eprint/810

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