Table 1.

Common parameters used in all brain data based test cases: opttol_R, opttol_T are the convergence tolerances for registration and tumor inversion ((7l) and (7k)); β_p is the regularization parameter for the tumor inversion (see (9a)); d is the spacing between the Gaussian basis function, σ their standard deviation; ${\beta }_{\mathit{v}}^0$ and ${\beta }_{\mathit{v}}^{\text{min}}$ are the initial and final values for the β-continuation scheme as described in 4.1 applied in image registration, determined based on which values have been shown to yield best results in numerical tests for the RTRV test problem.

opttolR	opttolT	βp	d	${\beta }_v^0$	${\beta }_{\mathit{v}}^{\text{min}}$
1E−3	1E−3	2.50E−4	1.5σ	1	1E−3