Abstract

VALENCIA, Juan Camilo  and  BEDOYA, Álvaro Hernán. REGRESSION AND CORRELATION OF OPTICAL SURFACES OF REVOLUTION IN CANONICAL FORM KNOWN THE RADII OF CURVATURE. Rev.EIA.Esc.Ing.Antioq [online]. 2009, n.12, pp.91-111. ISSN 1794-1237.

Three mathematical models are presented for the regression and correlation of a cloud of N points in R3 with Cartesian coordinates xj, yj as abscissas, with his respective ordinate ri as a radius of curvature of the axial or sagittal section, but not corresponding to the Gaussian curvature, with a paraboloid, ellipsoid, and hyperboloid of revolution in canonical form. This model assumes that data are properly centered, that is, the apex of the surfaces of revolution is preset at the origin; therefore, it is applied in human cornea.

Keywords : cornea; correlation; ellipsoid; hyperboloid; keratometry; paraboloid; regression; corneal topographer.

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