1. A computer-implemented method for interactively displaying a three-dimensional rendering of a structure having a lumen comprising the steps of: a. forming a three-dimensional volume of data from a series of two-dimensional images representing at least one physical property associated with the three-dimensional structure; b. generating a wireframe model of a selected region of interest; c. deforming the wire frame model using a geometric deformable model to more accurately represent the region of interest; and d. rendering the wireframe model in an interactive three-dimensional display.