Abstract: A method for vascular reconstruction comprises the steps of advancing a catheter having a position sensor into the vessel, acquiring position information from the sensor at a plurality of points in the vessel, calculating a center-line of the vessel based on said position information, and calculating the inner surface of the vessel. The method of the invention preferably further comprises displaying the vessel reconstruction. The invention is also directed to apparatus for reconstructing vessels which comprises a catheter having a position sensor contained therein, means for acquiring position information from said sensor at a plurality of points in said vessel, means for calculating a centerline of the vessel based on said position information, and means for calculating the inner surface of the vessel.