Fig. 8.

Application of the 2-D sigmoid function to ensure smooth transition in strain between the core of the dysfunctional region and the normal functioning endocardium. (a) Top view of a single $z$ slice of points looking from the base down toward the apex with the inferior wall at 12 o’clock, lateral wall at 3, anterior wall at 6, and the septum at 9. The black circles represent points on the endocardial surface belonging to the dysfunctional patch with the user-input patch center marked as X. (b) The 2-D sigmoid function showing a smooth transition in strain from a peak 70% reduction at the core to no strain reduction at the peripheral regions. Each $z$ slice of the dysfunctional patch corresponds to a row of the sigmoid function. When measured along the endocardial surface, points within a slice closer to the user-defined patch center received a higher reduction in strain than points lying farther away.