A method of generating three dimensional shapes for a cornea and lens of an eye, for determining a tilt of an optical axis of the lens with respect to an axis of a laser and biometric system, the method comprising: illuminating an eye with multiple sections of light; obtaining in a camera multiple sectional images of said eye based on said multiple sections of light; for each one of said obtained multiple sectional images, performing the following processes: a. automatically identifying arcs, in two-dimensional space, corresponding to anterior and posterior corneal and lens surfaces of said eye by image analysis and curve fitting of said one of said obtained multiple sectional images; b. determining on a surface-by-surface basis rays traced back from said identified arcs in two-dimensional space to the camera; and then determining where said rays intersect with a known position of a section of space containing said section of light that generated said one of said obtained multiple sectional images, wherein said determined intersection defines a three-dimensional arc curve; characterized by reconstructing three-dimensional shapes of said anterior and posterior cornea surfaces and said anterior and posterior lens surfaces based on fitting said three-dimensional arc curve to a spherical three-dimensional shape and determining the center of curvature for the anterior and posterior surfaces of the lens and the anterior and posterior surfaces of the cornea; and based upon said four determined centers of curvature determining an optical axis of the eye. illuminating an eye with multiple sections of light; obtaining in a camera multiple sectional images of said eye based on said multiple sections of light; for each one of said obtained multiple sectional images, performing the following processes: a. automatically identifying arcs, in two-dimensional space, corresponding to anterior and posterior corneal and lens surfaces of said eye by image analysis and curve fitting of said one of said obtained multiple sectional images; b. determining on a surface-by-surface basis rays traced back from said identified arcs in two-dimensional space to the camera; and then determining where said rays intersect with a known position of a section of space containing said section of light that generated said one of said obtained multiple sectional images, wherein said determined intersection defines a three-dimensional arc curve; characterized by a. automatically identifying arcs, in two-dimensional space, corresponding to anterior and posterior corneal and lens surfaces of said eye by image analysis and curve fitting of said one of said obtained multiple sectional images; b. determining on a surface-by-surface basis rays traced back from said identified arcs in two-dimensional space to the camera; and then determining where said rays intersect with a known position of a section of space containing said section of light that generated said one of said obtained multiple sectional images, wherein said determined intersection defines a three-dimensional arc curve; characterized by reconstructing three-dimensional shapes of said anterior and posterior cornea surfaces and said anterior and posterior lens surfaces based on fitting said three-dimensional arc curve to a spherical three-dimensional shape and determining the center of curvature for the anterior and posterior surfaces of the lens and the anterior and posterior surfaces of the cornea; and based upon said four determined centers of curvature determining an optical axis of the eye.