A method for selecting and/or labeling a vessel image includes operating an imaging system to obtain reconstructed image data including a volume having vessels therein. A bone removal routine is then applied to the reconstructed image data to produce a bone-free image. An initial point on a main vessel in the bone-free image is located, and bifurcation points and branches departing from the main vessel are identified. An adjacency graph of each branch coming from the main vessel is built. The method includes either or both of selecting and displaying a best or at least a favorable path through the vessels in accordance with predetermined criteria using the adjacency branch, or labeling and displaying branches of the main vessel.