A luminal occlusion device comprises a tension member, an elongate shaft, and a flat film having an axial receptacle which is received over a distal portion of the tension member. The flat film has proximal and distal ends which are attached to the distal ends of the tension member and the elongate shaft, respectively. Thus, distal advancement of the tension member relative to the shaft will cause the flat film to assume a low profile configuration, while proximal retraction of the tension member relative to the elongate shaft will cause the flat film to assume a foreshortened, compacted configuration. The film usually includes one or more radioopaque markers which help shape the compacted film.