In a computerized method and system to generate visualization command data for two-dimensional visualization of a vascular tree of a vascular system from tomography data acquired via an imaging system, tomography data of the vascular tree are registered in the form of prepared tomography data that include acquired tomography data of the vascular tree in which said vascular tree is segmented at least in a region of surrounding structures, and in which are present a number of curve lines of vessels of the vascular tree that branch with one another. Inlets are shaped between curve lines that are adjacent and/or connected with one another via node points. Representation data are generated in which the inlets are arranged flat, adjoining one another in a two-dimensional presentation plane. The visualization command data are derived from the representation data and presented as an output.