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Measuring Transformation Error by RMS Deviation

FMRIB Technical Report TR99MJ1

Mark Jenkinson

Oxford Centre for Functional Magnetic Resonance Imaging of the Brain (FMRIB),
Department of Clinical Neurology, University of Oxford, John Radcliffe Hospital,
Headley Way, Headington, Oxford, UK


This report describes the RMS deviation measure used to calculate the average difference between two affine transformations. The measure is easy to calculate (a few simple matrix products and a trace) and gives an estimate in real units (mm) of the difference in transformations.

Mark Jenkinson 2003-02-11