Model-based 3-D reconstruction of branching vessels

An approach to the problem of reconstructing a 3-D arterial tree model from a few angiographic projections is described. A natural optimality criterion that defines the globally best reconstruction is defined, and then an algorithm that maximizes this criterion is outlined. The criterion is a compromise between the conflicting goals of measurement likelihood and object smoothness. The approach uses a parametric model for the arterial tree, with a more accurate model for bifurcations. The algorithm is demonstrated on simulated projections and on magnetic resonance (MR) images