Table 5.

Obtained values for $det({\mathit{F}}_1^h)$ of exemplary registration results of the convergence study reported in Table 2 with respect to different iterative optimization methods (Picard, N-PCG, and GN-PCG). We refer to Table 4 and the text for details on the experimental setup. We report results for plain H²-regularization (γ = 0; top block) and for the Stokes regularization scheme (γ = 1; H¹-regularization; bottom block) for a grid size of n_x = (256, 256)^⊤.

		$min(det({\mathit{F}}_1^h))$	$max(det({\mathit{F}}_1^h))$	$\text{mean}(det({\mathit{F}}_1^h))$	$\text{std}(det({\mathit{F}}_1^h))$
H2-regularization	Picard	8.81E–1	1.19	1.00	7.58E–2
	GN-PCG	8.83E–1	1.19	1.00	7.56E–2
	N-PCG	8.83E–1	1.19	1.00	7.54E–2
Stokes regularization	Picard	1.00	1.00	1.00	4.55E–12
	GN-PCG	1.00	1.00	1.00	4.52E–12
	N-PCG	1.00	1.00	1.00	4.52E–12