A filter having a first set of members and a second set of members defining a trap sized to fit into a blood vessel. Each of the first and second members are configured to resiliently extend from the trap. At least one of the first set of members includes a first surface for engaging the vessel wall such that the at least one of the first set of members resists downstream movement within the vessel. At least one of the second set of members includes a second surface for engaging the vessel wall such that the at least one second member resists upstream movement within the vessel.