Table IV.

The terms and weights used in the objective function during each stage of model fitting.

Term	Description	Fitting phase 1: 10 basis functions, leaflets fitted separately	Fitting phase 2: 40 basis functions, leaflets fitted separately	Fitting phase 3: 70 basis functions, leaflets fitted separately	Fitting phase 4: 70 basis functions, leaflets fitted simultaneously
$T_{\mathrm{likelihood}}$	Volume overlap	1	1	1	1
$T_{{\mathrm{validity}}_1}$	Boundary Jacobian constraint	10−2	10−2	10−2	10−2
$T_{{\mathrm{validity}}_2}$	Radial thickness constraint	10−4	10−4	10−4	10−4
$T_{{\mathrm{validity}}_3}$	Boundary ${\nabla }_{\mathbf{m}}R$ constraint	10−1	10−1	10−1	10−1
$T_{{\mathrm{validity}}_4}$	Loop tangent constraint	10−2	10−2	10−2	10−2
$T_{{\mathrm{validity}}_5}$	Leaflet intersection constraint	10−1	10−1	10−1	10−1
$T_{{\mathrm{regularity}}_1}$	Medial triangle regularizer	0	10	30	30
$T_{{\mathrm{regularity}}_2}$	Boundary triangle regularizer	0	10	30	30