To assess the curvature of a fast free-form convex surface, such as the cornea of the human eye, a smartphone corneal topographer based on the null-screen method has been developed. The null screen consists of a semiradial distribution of ellipse-shape dots arranged on a conical surface so that, when reflected from a test surface, it forms an ordered set of circular dots if the surface is perfect. Any deviation from this geometry is indicative of surface defects. To demonstrate that the corneal topographer provides reliable results on the topography of the human cornea, in this work, we set out to perform a calibration of the corneal topographer using a reference sphere with geometric parameters 7.8 mm radius and 12 mm diameter. We use a normal iterative method to reconstruct the surface shape and obtain the corneal topography.
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