A compression device can treat edema with a number of curved shells, each having an internal pad. A ligature network employing tensioners is routed across the shells for compressing them. Tensioners on at least some of the shells can separately adjust tension in different portions of the ligature network. The ligature network is (a) releasably mounted on the shells, and (b) repositionable to allow spatial adjustment of compression forces produced by the compression device. By adjusting the routing of the ligature network across the shells, tailored compression forces are provided. With a body part embraced by the padded shells, tension is separately adjusted in different portions of the ligature network to provide different compression forces at spaced positions along the plurality of padded shells.