Deformable models with parameter functions for left ventricle 3-D wall motion analysis and visualization

We have developed a new class of deformable models suitable for analyzing the left ventricular shape and motion. The models allow us to estimate the deformation and complex motion of the left ventricle (LV) in terms of a few global parameter functions whose values are allowed to vary locally. Using Lagrangian dynamics and the finite element theory, we convert these volumetric primitives into models that deform due to forces exerted by the data points. We present experiments where we used magnetic tagging (MRI-SPAMM) to acquire datapoints from the LV during systole. By plotting the variations over time of the extracted LV model parameters we quantitatively analyze, localize and compare the epicardial and endocardial motion. We also present mid-wall motion analysis results from healthy volunteers and patients with hypertrophic cardiomyopathy.