The present invention relates to a device for filtering obstructive material within the vasculature of a subject. The device includes a frame with multiple flexible legs connected to a hub, and a web that is positioned between the legs. The web is substantially perpendicular to the central axis. The legs are compressible about the central axis when the frame is in a compressed state, and the legs expand away from the central axis such that the web is held taut when the legs are in an expanded state. In certain embodiments, the web is a single piece of thread that passes through openings in the legs. In certain embodiments, a heat shrink material is used to secure a thread of the web to the frame.