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Overlap-based Assessment

The approach utilizes a measure of overlap between ground-truth anatomical labels. It exploits a generalisation of Tanimoto's spatial overlap measure [1] . We start with a manual mark-up of each image, providing an anatomical/tissue label for each voxel, and measure the overlap of corresponding labels following registration as follows:

18#18 (2)

where 19#19 indexes voxels in the registered images, 20#20 indexes the label and 21#21 indexes image pairs. 22#22 and 23#23 represent voxel label values in a pair of registered images and are in the range [0, 1]. The 24#24 and 25#25 operators are standard results for the intersection and union of fuzzy sets.