Figure 3.

Exemplary registration results for the multisubject brain images (see Fig. 1). We report representative results from Tab. 2. We report results for plain smoothness regularization (top row; H²-regularization; γ = 0; β_v = 1E−2) and for a model with local adaptive compression (bottom row; H¹-regularization; γ = 1; β_v = 1E−1; β_w = 1E−4). We display (from left to right) (i) a map of the residual differences after registration, (ii) a map of the determinant of the deformation gradient (the values are reported in Tab. 2; information about the color map can be found in §D of the appendix), (iii) the deformed template image m₁ with a grid in overlay (to illustrate the deformation map y), and (iv) a close up of the latter for a particular area of interest (as identified by the inset in the images).