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First published online July 19, 2006
British Journal of Radiology (2007) 80, 169-176
© 2007 British Institute of Radiology
doi: 10.1259/bjr/35012658

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Visual grading characteristics (VGC) analysis: a non-parametric rank-invariant statistical method for image quality evaluation

M Båth, PhD 1 and L G Månsson, PhD 2

1 Department of Medical Physics and Biomedical Engineering, Sahlgrenska University Hospital, SE-413 01 Göteborg, 2 Department of Radiation Physics, Göteborg University, SE-413 01 Göteborg, Sweden


Figure 1
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Figure 1. (a) Probability distributions (A = noise, B = signal) of a detection task showing 4 levels of decision thresholds X1 – X4. Values of X < X1 correspond to the first rating category ("1"), X1 < X < X2 to the second ("2"), etc., and X > X4 to the last ("5"). (b) The resulting ROC curve, giving the true positive fraction (TPF) as a function of the false positive fraction (FPF). The four operating points corresponding to the four decision thresholds in (a) are given by the boxes in (b).

 

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Figure 2. The visual grading characteristic(VGC) curve from the data presented in GoTables 1 and 2Go. The boxes represent the operating points corresponding to the observer's interpretation of the scale steps of the rating scale.

 

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Figure 3. (a) Two image quality distributions and (b) the resulting asymmetrical visual grading characteristic (VGC) curve.

 





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