Discrete smooth interpolation as an aid to visualizing electrical variables in the heart wall

Discrete smooth interpolation (DSI) has been applied to the visualization of data gathered during canine epicardial and transmural mapping studies. It is found that this method facilitates the mapping of reentrant pathways and the three-dimensional mapping of electrical potentials and potential gradients measuring transmurally during defibrillation shocks. It easily customizes the interpolation criteria to an application. A variation of J.L. Mallet's (1989) interpolation criteria which is suitable for transmural mapping is proposed. These criteria can be used for the first three dimensions and a new set of criteria would be used for the fourth dimension, allowing interpolation to be performed with one set of simultaneous equations. Discontinuities are easily incorporated into the DSI model.<>