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. Author manuscript; available in PMC: 2008 May 29.
Published in final edited form as: IEEE Trans Med Imaging. 2008 May;27(5):589–607. doi: 10.1109/TMI.2007.912391

Figure 8.

Figure 8

Histogram of Euclidean Distances Between the Most Similar Tensors across the template image and the synthetic image rotated by 5° around the Z-axis. Even for a small amount of rotation, tensors far from the axis of rotation are translated by large amounts. To plot the histogram, we searched for the most similar tensor in a 3D neighborhood 15 × 15 × 15 voxels in size. We computed these histograms for three similarity measures: Pr(H0∣H1), d(H0, H1), and Riemann(H0, H1). As expected, histograms for both Pr(H0∣H1) and d(H0, H1) show a large spread and a peak in the middle of distances between the tensors that are most similar across the images.