Comparison of the 3D reconstruction accuracy for the proposed AQVT based reconstruction against Euclidean distance based Voronoi tessellation.

<p>(A) The cells shown in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0067202#pone-0067202-g007" target="_blank">Figure 7(A)</a> are reconstructed using the Euclidean distance based Voronoi tessellation and the computationally re-sliced cells are compared against the ground truth. (B) The same cells are reconstructed using the adaptive quadratic distance based Voronoi tessellation and then computationally re-sliced along various depths in z at which we also have the ground truth (in terms of the 2D segmentation results of the cell slices), but were not used in generating the reconstruction results. The computationally obtained cell slices are shown in different colors for different cells and they are superimposed by the ground truth segmentation results. (C) The error in reconstruction (similar to the reprojection error) is computed as the Modified Hausdorff Distance (MHD) between the computationally generated cell slices and the segmentation results on the ground truth images of the same cells. The MHD, computed for each of the 52 cells at different depths in the Z-stack are plotted for both the methods to compare the methods against each other. It can be clearly observed from the plots that the reconstruction error is much larger for the Euclidean distance based Voronoi tessellation (VT) than for AQVT, especially at the terminal () slices, between consecutive layers of cells.