Abstract: The subject invention relates to an intrastromal corneal insert designed to be meridionally situated in an interlamellar pocket or channel made within the cornea of a mammalian eye. The insert has a shape which, when inserted into the cornea, has a significant meridional dimension and may be used to adjust corneal curvature and thereby correct or improve vision abnormalities such as hyperopia. The inserts may also have a circumferential component to their configuration to allow concurrent correction of other vision abnormalities. The radial insert may be made of a physiologically compatible material, e.g., one or more synthetic or natural, soft, firm, or gelatinous polymers. In addition, the insert or segment may be used to deliver therapeutic or diagnostic agents to the corneal interior or to the interior of the eye.