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. Author manuscript; available in PMC: 2010 Apr 28.
Published in final edited form as: Phys Med Biol. 2008 Apr 18;53(10):2471–2493. doi: 10.1088/0031-9155/53/10/002

Figure 7.

Figure 7

Monte Carlo estimates of the AUC value at (x, y) = (4, −7) cm in the Forbild head phantom of Figure 3., with a progressive increase in the number of noise realizations. (Left) The horizontal dashed line gives the analytical estimate of the AUC value, while the solid curve gives the Monte Carlo estimate. (Right) Relative difference between the Monte Carlo estimate and the analytical estimate. The figure-of-merit is 100 × |1 − (a1 − 0.5)/(a2 − 0.5)| where a1 and a2 are the Monte-Carlo and the analytical estimates, respectively. The substraction of 0.5 is used to account for the fact that the range of the AUC is [0.5, 1].