FIGURE 1.

3D extension of the classical “toy” example used for benchmarking of diffeomorphic registration: fitting “circle”—sphere in (B)—to “C”—spherical shell with a hole in (A). Results of direct (C) and inverse (D) maps obtained in 8 embedded energy shells. Subset of curvilinear grid lines plotted for three neighboring layers selected from three orthogonal planes for direct (E) and inverse (F) maps. The different colors were used to distinguish between the anterior-posterior grid lines (blue), the dorsal-ventral grid lines (green) and the right-left lateral grid lines (red). Both inverse and direct maps were obtained in a single run, the processing time for 200 × 200 × 200 volumetric datasets was just above 30 s on 12 cores Intel ® Core^TM i7–4930K CPU 3.40 GHz