Abstract. 3D models of coronary arteries is a valuable help for the planning and simulation of minimally-invasive cardiac surgery, and may be used in per-operative augmented reality. We propose a method to build a time-variant model of the coronary artery tree from standard non simultaneous angiograms. The semi-automatically extracted and labeled tree is tracked in each sequence by B-snakes with an image energy term deduced from a multi-scale model-based preprocessing. Then, from two projections synchronized with the electrocardiogram, a non simultaneous stereoscopy method is used to build the 3D skeletonized coronary artery tree. The heart shift and deformation between acquisitions problem mainly due to patient’s breathing and motion - is solved by simultaneously optimizing the sensor geometry. Finally 3D sections are estimated from the projected sections.