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Applied Optics

Applied Optics


  • Vol. 40, Iss. 31 — Nov. 1, 2001
  • pp: 5778–5786

Object surface for applying a modified Hartmann test to measure corneal topography

Yobani Mejía-Barbosa and Daniel Malacara-Hernández  »View Author Affiliations

Applied Optics, Vol. 40, Issue 31, pp. 5778-5786 (2001)

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A modified Hartmann test is proposed for measuring corneal topography. The plane screen with holes used in the typical Hartmann test is replaced with a curved object surface. This object surface yields a plane image for a spherical mirror surface. We show that the object surface is an oval of revolution that can be modeled by an ellipsoid. The plane image will be formed by a square array of circular spots, all with the same diameter. To obtain the square array in the image, we calculated the spatial distribution of the spots on the object surface.

© 2001 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(110.2960) Imaging systems : Image analysis
(170.4460) Medical optics and biotechnology : Ophthalmic optics and devices

Original Manuscript: December 18, 2000
Revised Manuscript: June 8, 2001
Published: November 1, 2001

Yobani Mejía-Barbosa and Daniel Malacara-Hernández, "Object surface for applying a modified Hartmann test to measure corneal topography," Appl. Opt. 40, 5778-5786 (2001)

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  1. A. Gullstrand, in Helmholtz’s Treatise on Physiological Optics, J. P. C. Southall, ed. (Optical Society of America, Washington, D.C., 1924), Vol. 1, 305–358.
  2. H. A. Knoll, R. Stimson, C. L. Weeks, “New photokeratoscope utilizing a hemispherical object surface,” J. Opt. Soc. Am. 47, 221–222 (1957). [CrossRef] [PubMed]
  3. H. M. Dekking, “Zyr Photographie der Hornhautoberfläche,” Albrecht von Graefes Arch. Ophthalmol. 124, 708–730 (1930). [CrossRef]
  4. A. H. Knoll, “Corneal contours in the general population as revelated by the photokerastoscope,” Am. J. Optom. 38, 389–397 (1961). [CrossRef]
  5. Keratoscope, Optikon.
  6. A. E. Conrady, Applied Optics and Optical Design (Dover, New York, 1985).
  7. D. Malacara, Z. Malacara, Handbook of Lens Design (Marcel Dekker, New York, 1994).
  8. S. Wittenberg, W. M. Ludlam, “Planar reflected imagery in photokeratoscopy,” J. Opt. Soc. Am. 60, 981–985 (1970). [CrossRef] [PubMed]
  9. S. A. Klein, “Corneal topography reconstruction algorithm that avoids the skew ray ambiguity and the skew ray error,” Optom. Vis. Sci. 74, 931–944 (1997). [CrossRef] [PubMed]
  10. R. H. Rand, H. C. Howland, R. A. Applegate, “Mathematical model of a Placido disk keratometer and its implications for recovery of corneal topography,” Optom. Vis. Sci. 74, 926–930 (1997). [CrossRef] [PubMed]
  11. M. A. Halstead, B. A. Barsky, S. A. Klein, R. B. Mandell, “A spline surface algorithm for reconstruction of the corneal topography from a video-keratographic reflection pattern,” Optom. Vis. Sci. 72, 821–827 (1995). [CrossRef] [PubMed]
  12. W. E. Humphrey, “Method and apparatus for analysis of corneal shape,” U.S. patent4,420,228 (13Dec.1983).
  13. D. Malacara, Optical Shop Testing (Wiley, New York, 1992).
  14. E. Kreyszig, Differential Geometry (Dover, New York, 1991).
  15. D. Malacara, Z. Malacara, “Testing and centering of the lenses by means of a Hartmann test with four holes,” Opt. Eng. 31, 1551–1555 (1992). [CrossRef]

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