Abstract: Embodiments of the invention are directed to improved surgical procedures such as ophthalmic procedures that utilize overlaid visual representations of three-dimensional data or other data with direct or indirect visual images of a surgical region (e.g. the eye) to provide improved information to a surgeon to speed surgical procedures and/or to provide improved outcomes of those procedures. In some embodiments, ophthalmic procedures are combined cataract removal and astigmatism reduction procedures. In other embodiments the ophthalmic procedures are corneal refractive surgical procedures that reshape the cornea to reduce astigmatism or other aberrations. In some ophthalmic procedures the three-dimensional data is topography data associated with the anterior surface of the cornea. In some embodiments, the three-dimensional data may be enhanced or replaced with aberrometric data associated with the optical path of the eye.