Methods for vessel segmentation and tracking using 7D MRI flow image data incorporate information from the velocity field and the magnitude. A vessel tracking methods selects a time containing sufficient blood flow through a vessel, uses the magnitude image to determine the vessel boundary and uses the velocity image to define the vessel direction. A method for segmenting tubular and circular objects segments the objects into separate vessels and then uses the velocity data to reunite the objects, where touching components are evaluated by the velocity field where they are connected. If vectors point towards the other component, the two components are reconnected. An advection-diffusion method based on fluid dynamics performs a fluid dynamics simulation with image forces according to the Navier-Stokes equations. With the 7D data, the vector field is available from the flow data, from the time point at which maximal flow occurs in the vessel of interest.