An endoluminal filter including a first support member (105) and a second support member (110) attached to the first support member to form a crossover (106). A material capture structure (115) extends between the first and second support members, the crossover and the first end (102) or the second end (104) of the first support member. The filter includes at least three tissue anchors (805) attached to one support member and at least two tissue anchors (805) attached to the other support member.
