Biomedical Engineering Reference
In-Depth Information
(a)
(b)
(c)
Figure 22.
Average residuals per sample point for all three coordinates for
R
t
→R
model registration for (a) Dog 1, (b) Dog 2, and (c) Dog 3. The
y
axis has dimension of
centimeters.
(a)
(b)
(c)
Figure 23.
Average Jacobian (Lagrangian) over the twelve left-ventricular regions for (a)
Dog 1, (b) Dog 2, and (c) Dog 3.
Jacobian (the determinant of the deformation gradient tensor (Eq. (35)) is equal to
unity everywhere. The time plots of the average Jacobian for all three dog studies
are shown in Figure 23.
6.3. In Vivo Canine Data: Right Ventricle
To our knowledge, there is no analytical model with which to optimize the
parameters governing the right-ventricular NURBS model. However, the same
factors that dictated our selection of parametric values for the left-ventricular model
also directed our choice of parametric values for the right-ventricular model. These
parameters include: order = 3, spans in
u
RV
= 1, spans in
v
RV
= 2, and spans in
w
RV
= 2. In addition, the model is lofted temporally (order = 4 with six control
points). In Figure 24 strain plots for one dog (Dog 3) are shown. The assessment
measures for this model are given in Figure 25.
