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8.6 CONCLUSION 175

TABLE 8.12 Change in the Error and Calculation Time as the Number of Heart Grid Nodes Increases
ε BV R -norm Calculation time (s)
‘ 2
Displacement Visual Total Projection

HG-1 0.22 Deformations 263 235
HG-5 0.16 No deformations 597 564

Displacement
1.680e+01

12.218

8.1456

4.0728

5.087e-01

(A) (B)
FIG. 8.41 PODI displacement field solutions obtained with heart template grid nodes ranging from 347 to 977. (A) Number of heart grid nodes:
347; (B) number of heart grid nodes: 977.

80

75
70
Energy (%) 65

60
55

50
300 400 500 600 700 800 900 1000
Nodes
FIG. 8.42 Evolution of the energy of the first POMs as the number of heart template grid nodes is increased.

out more consistently, indicating that a higher amount of solution detail is conserved. Hence, the improvement in reg-
istration is directly linked to more accurate PODI solutions.

8.6 CONCLUSION

The work presented in this chapter provides an insight on how near real-time modeling of patient-specific hearts
can be achieved, taking into account the physiological behavior for an entire heartbeat with the help of the
PODI method.
First, in order to achieve the computation of a full heartbeat cycle, the time standardization scheme is proposed to
ensure that all datasets used for the parametric PODI calculation are suitably synchronized, as required for the inter-
polation process. The method means that, for each selected dataset, the respective subsets are identified as belonging to

I. BIOMECHANICS