Variable radial stiffness and variable diameter intraluminal device

The present disclosure describes intraluminal support devices having high radial stiffness regions with smaller diameter and low radial stiffness regions with larger diameter. When deployed to the vasculature of a patient in need of treatment, the high radial stiffness region is sized such that it has approximately the diameter of the vessel in need of treatment, so that it produces substantially zero chronic radial force when the vessel is not being subjected to external compression. The low radial stiffness regions anchor the device to the vessel wall and provide a less-abrupt transition from the high radial stiffness structure. Methods of making and using such devices are also described.