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. Author manuscript; available in PMC: 2016 Sep 7.
Published in final edited form as: SIAM J Imaging Sci. 2015 May 5;8(2):1030–1069. doi: 10.1137/140984002

Figure 4.

Figure 4

Qualitative comparison of exemplary registration results of the convergence study reported in Table 4. In particular, we display the results for the N-PCG method for a grid size of nx = (256, 256)⊤. We refer to Table 4 and the text for details on the experimental setup. We report results for plain H2-regularization (γ = 0; images to the left) and the Stokes regularization scheme (γ = 1; H1-regularization; images to the right). We display the deformed template image m1, a pointwise map of the residual differences between mR and m1 (which appears completely white, as the residual differences are extremely small), as well as a pointwise map of the determinant of the deformation gradient det(F1) (from left to right as identified by the inset in the images). The values for the det(F1) are reported in Table 5. Information on how to interpret these images can be found in Appendix D.