Fig. 1.
Synthetic image matching with 25 (top) and 9 (bottom) control points. On the left of each panel: the source image with the initial momenta (red arrows). On the right the superimposition of the deformed source and target image. First row shows that a discrete parameterization is sufficient for a perfect matching. Second row shows that moving the control points to their optimal positions gives a much better representation of the shape differences for a fixed number of parameters. σ = 50 voxels, γ = 10−2.