A vascular endoprosthesis is formed of a tubular liner preform with a continuous surface and having a diameter smaller than that of an intended vessel. The liner is inserted to a treatment site, and its sheet material undergoes a radially-directed expansion to a final size that fits the vessel. Insertion and in situ expansion are achieved using a catheter assembly in which either an internal stent, such as a stiff-filament helically woven tube, or an inflatable balloon urge the liner preform outwardly against the inner wall of the vessel. The stent, or one or more simple internal snap-rings anchor the expanded liner in place. The expanded liner is porous, or becomes more porous during expansion, and one or more aspects of its porosity are tailored to the intended treatment goal of immobilizing treatment material, isolating cells, or permitting controlled permeation of selected materials.