Biomedical Engineering Reference
In-Depth Information
Figure 10. Block diagram of the entire system.
Thus, if we ignore those regularizing terms, the surface is propelled by the coun-
terforces from the outer and inner regions until they completely counteract each
other, which implies a steady-state Eq. (27).
The basic idea of the Chan-Vese model is illustrated for the 2D case in Fig-
ure 11. Comparing Figure 11 with the right side of Figure 9, we can recognize
that they are very alike, except for the distinction that this simplified model for the
cortex is trimodal while the Chan-Vese model is designed for bimodal cases.
In order to address this problem, we modify the original formulation by defin-
ing two new Heaviside functions to represent the third region in the cortical struc-
ture. The thickness of the cerebral cortex in [59] was within the range of 1 to 3
mm, with an average value of d = 2mm. Thus, our new Heaviside functions can
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