1. A method for patient-specific coronary territory mapping comprising performing the following with a processor: receiving three-dimensional (“3D”) image data; fitting a geometric model to the received data; segmenting coronary vessels from the received data; mapping the segmented vessels to the surface of the model; computing a Voronoi diagram responsive to the mapping on an epicardial surface; and dividing the surface based on proximity to the source arteries, wherein the model is based on at least one of population and nonuniform rational B-splines (“NURB”) and using the patient-specific coronary territory mapping model to determine if medical intervention is needed in the patient.