British Journal of Radiology (2004) 77, 123-128
© 2004 British Institute of Radiology
doi: 10.1259/bjr/27339681
Assessment of a technique for 2D3D registration of cerebral intra-arterial angiography
J V Byrne, FRCR1,
C Colominas, MSc1,
J Hipwell, PhD2,
T Cox, FRCR3,
J A Noble, DPhil4,
G P Penney, PhD2 and
D J Hawkes, PhD2
1 Department of Neuroradiology, Nuffield Department of Surgery, University of Oxford, Radcliffe Infirmary, Woodstock Road, Oxford OX2 6HE, 2 Division of Imaging Sciences, Kings College London, Thomas Guy House, Guys Hospital, London SE1 9RT, 3 National Hospital for Neurology & Neurosurgery, Queen Square, London WC1 3BG and 4 Department of Engineering Sciences, University of Oxford, 17 Parks Road, Oxford OX1 3PJ, UK

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Figure 1. Reprojection distance modified from [11]. Each point Pi(i=1,...,Nreproj) within the volume of interest is projected onto the imaging plane using the gold standard registration matrix G, to create corresponding 2D points ui. These 2D points are then reprojected using a given transformation matrix T to produce lines Li. The reprojection distance, Di, is then equal to the minimum distance from this line to the original point Pi. For a perfect registration the line Li will pass directly back through Pi and the reprojection error distance, Di, will be equal to zero. The root mean square (RMS) target reprojection error, 
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Figure 2. Example registration for patient 2, run A. These angiograms show a large anterior communicating artery aneurysm in an oblique frontal view after injection of the right internal carotid artery. The root mean square reprojection error in the start position (C) was 8.2 mm and after automated registration (D) 0.9 mm.
A: Maximum opacity arterial display subtraction angiography, "2D-MAX", image.
B: Gold standard registration performed manually in about 20 min.
C: Starting position for the registration.
D: Computed registration position achieved in 3 min.
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Copyright © 2004 by the British Institute of Radiology.