An approach to point-to-point reconstruction of 3D structure of coronary arteries from 2D X-ray angiography, based on epipolar constraints

摘要

Interventional cardiology practice puts forward a problem of analysis of the coronary arteries 3D structure. One of the most commonly utilized method is X-ray coronary angiography. To reconstruct a three-dimensional image of the coronary arteries tree for an individual patient from several 2D X-ray angiography projections one needs to make use of mathematical modelling approach. In this paper we propose an approach to the reconstruction of centerlines of the coronary arteries, based on epipolar geometry. We choose mutually correlated projections of an unknown 3D point on the centerline. Then we restore its 3D coordinates, using epipolar constraints and simple linear equations.