Abstract: An antenna structure, such as an antenna reflector, comprises a collapsible mesh and catenary tie/cord attachment structure, retained in tension by a plurality of variable geometry spreader-standoffs connected to an inflatable tubular support hoop. The standoffs decouple the energy-focusing geometry of the antenna surface from the hoop, so as to reduce the sensitivity of the shape of the surface to variations in the shape of the tubing. Each spreader-standoff is connected to the hoop at a hinge joint of a pair of spreader-standoff elements, by a radial connection element retained in tension by the adjoining tubing. The hinge joint of a respective spreader-standoff pair is adjacent to an inner diameter side of the hoop, while distal locations of the spreader-standoff elements are located beyond an outer diameter side of the inflated hoop.