Fig. 5.

Temporal registration errors (TRE) accumulate with intra-volume synchronization at increasing distances from the reference slice. The proposed inter-volume synchronization limits the extent of these errors. (a) Y-dataset TREs, with inset showing a representative reference volume. (b) X-dataset TREs, inset shows reference volume. (c) TREs for Y-dataset with speckle multiplied, inset shows a speckle volume (left) and the generated reference volume with speckle (right). (d) TREs for X-dataset with speckle multiplied, inset shows a speckle volume (left) and the generated reference volume with speckle (right). (e) TREs for heart phantom X-dataset with fixed spatial resolution and varying temporal resolution measured in frames per period (fpp). (f) TREs for heart phantom X-dataset with fixed temporal resolution and varying spatial resolution sampled as N_x × N_y × N_x voxel dataset. In all plots, each point corresponds to the average absolute value of the registration error for one image sequence, obtained by averaging the absolute errors over all the time points. Error bars correspond to standard deviation over 100 simulations, divided by $\sqrt{100}$. For (a) and (c) Y-dataset was of 41 × 21 × 41 voxels at 19 fpp, for (b) and (d) X-dataset was of 21 × 41 × 41 voxels at 19 fpp, for (e) X-dataset was of 21 × 41 × 41 voxels, and for (f) X-dataset had temporal resolution of 19 fpp. (Color Online)