3D parametric model of lesion geometry for evaluation of MR-guided radiofrequency ablation therapy

Radiofrequency current energy can be used to ablate pathologic tissue. Through magnetic resonance imaging (MRI), real-time guidance and control of the procedure is feasible. For many tissues, resulting lesions have a characteristic appearance with two boundaries enclosing an inner hypo-intense region and an outer hyper-intense margin, in both contrast enhanced T₁ and T₂ weighted MR images. We created a model having two quadric surfaces and twelve-parameters to describe both lesion surfaces. Parameter estimation was performed using iterative optimization such that the sum of the squared shortest distances from segmented points to the model surface was minimized. The method was applied to in vivo image volumes of lesions in a rabbit thigh model. For all in vivo lesions, the mean signed distance from the model surface to segmented boundaries, accounting for the interior or exterior location of points, was approximately zero with standard deviations less than a voxel width (0.7 mm). For all in vivo lesions, the median absolute distance from the model surface to data was ≤ 0.6 mm for both surfaces. We conclude our model provides a good approximation of actual lesion geometry and should prove useful for three-dimensional lesion visualization, volume estimation, automated segmentation, and volume registration.