Figure 3
Verification of material recovery using target geometries generated through computational simulations. The imaging data were first converted into a patient-specific FE mesh (\({{\Omega }_{{\text{base}}}}\)) with material heterogeneity. Material properties (comprising vectors \({{\mathbb{Y}}_{{\text{assigned}}}}\)) were then assigned to each tissue class. Pressure (ΔP) was applied to the lumen and the displacements calculated via FE simulation (\(\boldsymbol{\mathcal{S}}\)). The resultant simulated geometries (\({{\Omega }_{{\text{target}}}}\)) were formed by adding the calculated, spatially varying displacements at each node to the original nodal coordinates. These virtually generated target geometries were then used together with the patient-specific base geometry (\({{\Omega }_{{\text{base}}}}\)) to recover the assigned material property vectors.
