Analysis of corneal aberration of the human eye
P.A. Khorin, S.N. Khonina, A.V. Karsakov, S.L. Branchevskiy


Samara National Research University, Samara, Russia,
Image Processing Systems Institute оf RAS,– Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia,
Branchevski’s Eуе Clinic, Samara, Russia

Full text of article: Russian language.


In this work, we analyze the human eye corneal aberrations based on the data obtained in the Branchevski’s eye clinic. The analysis is performed on the basis of representation of aberrations as a superposition of Zernike functions. As the result of the analysis, we selected the Zernike basis functions which are the most characteristic for some pathologies of the eye.

corneal aberration, Zernike function, point spread function, myopia of the human eye.

Khorin PA, Khonina SN, Karsakov AV, Branchevsky SL. Analysis of corneal aberrations of the human eye. Computer Optics 2016; 40(6): 810-817. DOI: 10.18287/2412-6179-2016-40-6-810-817.


  1. Lombardo M, Lombardo G. Wave aberration of human eyes and new descriptors of image optical quality and visual performance. Journal of Cataract & Refractive Surgery 2010; 36(2): 313-331. DOI: 10.1016/j.jcrs.2009.09.026.
  2. Artal P, Guirao A, Berrio E, Williams DR. Compensation of corneal aberrations by the internal optics in the human eye. J Vis 2001; 1(1): 1-8. DOI: 10.1167/1.1.1.
  3. Artal P, Berrio E, Guirao A, Piers P. Contribution of the cornea and internal surfaces to the change of ocular aberrations with age. Journal of the Optical Society of America A 2002; 19(1): 137-143. DOI: 10.1364/JOSAA.19.000137.
  4. He JC, Gwiazda J, Thorn F, Held R. Wave-front aberrations in the anterior corneal surface and the whole eye. Journal of the Optical Society of America A 2003; 20(7): 1155-1163. DOI: 10.1364/JOSAA.20.001155.
  5. Mrochen M, Jankov M, Bueeler M, Seiler T. Correlation between corneal and total wavefront aberrations in myopic eyes. Journal of Refractive Surgеry 2003; 19(2): 104-112. DOI: 10.3928/1081-597X-20030301-04.
  6. Kelly JE, Mihashi T, Howland HC. Compensation of corneal horizontal/vertical astigmatism, lateral coma, and spherical aberration by internal optics of the eye. Journal of Vision 2004; 4(4): 262-271. DOI: 10.1167/4.4.2.
  7. Farah SG, Azar DT, Gurdal C, Wong J. Laser in situ keratomileusis: literature review of a developing technique. Journal of Cataract Refractive Surgery 1998; 24(7): 989-1006.
  8. Roberts C. Biomechanics of the Cornea and Wavefront-Guided Laser Refractive Surgery. Journal of Refractive Surgеry. 2002; 18(5): S589-S592.
  9. O’Keefe M, O’Keeffe N, Corneal Surgical Approach in the Treatment of Presbyopia. Journal of Clinical & Experimental Ophthalmology 2016; 7(1): 512. DOI: 10.4172/2155-9570.1000512.
  10. Born M, Wolf E. Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light. 7th ed. Cambridge: Cambridge University Press; 1999.
  11. Kirilovskiy VK. Optical measures. Part II. The theory of sensitivity optical measuring levelling. The role of the optical image. Schoolbook [In Russian]. Saint-Petersburg: “SPb. GITMO (ТU)” Publisher; 2003.
  12. HD Analyzer® User’s Manual. Visiometrics; 2012.
  13. Zemax® User’s Guide. Zemax Development Corporation; 2005.
  14. Khonina SN, Kotlyar VV, Wang Ya. Diffractive optical element matched with Zernike basis. Pattern Recognition and Image Analysis 2001; 11(2): 442-445.
  15. Khonina SN, Kotlyar VV, Kirsh DV. Zernike phase spatial filter for measuring the aberrations of the optical structures of the eye. Journal of Biomedical Photonics & Engineering 2015; 1(2): 146-153.
  16. Kirilenko MS, Khorin PA, Porfirev AP. Wavefront analysis based on Zernike polynomials. CEUR Workshop Proceedings 2016; 1638: 66-75. DOI: 10.18287/1613-0073-2016-1638-66-75.
  17. Porfirev AP, Khonina SN. Experimental investigation of multi-order diffractive optical elements matched with two types of Zernike functions. Proc SPIE 2016; 9807: 98070E. DOI: 10.1117/12.2231378.
  18. Tocci M. How to Model the Human Eye in Zemax. Source: áñ.
  19. Guirao A, Redondo M, Artal P. Optical aberrations of the human cornea as a function of age. J Opt Soc Am A 2000; 17(10): 1697-1702.

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