An intra-annular mounting frame (10) useful for, inter alia, restoring the geometry of a valve to achieve proper coaptation. Intra-annular hemispherical mounting frame (10) is inserted into the aortic valve annulus and provides for the reconstruction of the native aortic valve. Intra-annular hemispherical mounting frame (10) includes a plurality of curvatures (12) and also interconnecting points (14). Generally, curvature (12) conforms to the annular cusp geometry with interconnecting points (14) conforming to the geometry of the commissures. Curvatures (12) curve in about a first plane and a second plane of hemispherical mounting frame (10) to correspond to the three-dimensional geometry of the cusps of an aortic valve.