Approximating ocular surfaces by generalised conic curves

Ophthalmic and Physiological Optics

Volumn 26, Issue 6, 2006, Pages 602-609

  Kasprzak, Henryk T ^a   Robert Iskander, D ^b  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

^b QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

Corneal topography; Crystalline lens modelling; Optical eye model

Indexed keywords

ANATOMY; ARTICLE; KERATOMETRY; LENS; PRIORITY JOURNAL; STATISTICAL ANALYSIS; STATISTICAL MODEL; SURFACE PROPERTY;

ACCOMMODATION, OCULAR; CORNEAL TOPOGRAPHY; HUMANS; LENS, CRYSTALLINE; MODELS, BIOLOGICAL; OPTICS; OPTICS AND PHOTONICS; REFRACTION, OCULAR;

EID: 33750118452     PISSN: 02755408     EISSN: 14751313     Source Type: Journal    
DOI: 10.1111/j.1475-1313.2006.00430.x     Document Type: Article

References (29)

1. Ahn S. J., Rauh W. and Warnecke H.-J. (2001) Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola. Pattern Recognit. 34, 2283-2303.
2. Atchison D. A. and Smith G. (1995) Continuous gradient index and shell models of the human lens. Vision Res. 35, 2529-2538.
3. Campbell S. L. and Meyer C. D., Jr (1991) Generalized Inverses of Linear Transformations. Dover, New York.
4. Carroll J. P. (1994) A method to describe corneal topography. Optom. Vis. Sci. 71, 259-264.
5. Dubbelman M., Weeber H. A., Van der Heijde R. G. L. and Volker-Dieben H. J. (2002) Radius and asphericity of the posterior corneal surface determined by corrected Scheimp-flug photography. Acta Ophthalmol. Scand. 80, 379-383.
6. Forster W., Kasprzak H. and von Bally G. (1994) Measurement of elastic modulus of the central bovine cornea by means of holographic interferometry. Part II. Results. Optom. Vis. Sci. 71, 27-32.
7. Franklin R., Morelande M. R., Iskander D. R., Collins M. J. and Davis B. A. (2006) Combining central and peripheral videokeratoscope maps to investigate total corneal topography. Eye Cont. Lens 32, 27-32.
8. Hjortdal J. Ø. (1996) Regional elastic performance of the human cornea. J. Biomech. 29, 931-942.
9. Howland H. C., Glasser A. and Applegate R. (1992) Polynomial approximations of corneal surfaces and corneal curvature topography. In: Ophthalmic and Visual Optics, Vol. 3 of the 1992 OSA Technical Digest Series, Optical Society of America, Washington, DC, pp. 34-37.
10. Iskander D. R., Collins M. J. and Davis B. (2001) Optimal modeling of corneal surfaces with Zernike polynomials. IEEE Trans. Biomed. Eng. 48, 87-95.
11. Iskander D. R., Morelande M. R., Collins M. J. and Davis B. (2002) Modeling corneal surfaces with radial polynomials. IEEE Trans. Biomed. Eng. 49, 320-328.
12. Kasprzak H. T. (2000) New approximation for the whole profile of the human crystalline lens. Ophthalmic Physiol. Opt. 20, 31-43.
13. Kasprzak H. T. and Jankowska-Kuchta E. (1996) A new analytical approximation of corneal topography. J. Modern Opt. 43, 1135-1148.
14. Kasprzak H., Forster W. and von Bally G. (1993) Measurement of elastic modulus of the bovine cornea by means of holographic interferometry. Part 1. Method and experiment. Optom. Vis. Sci. 70, 535-544.
15. Kawana K., Tokunaga T., Miyata K., Okamoto F., Kiuchi T. and Oshika T. (2004) Comparison of corneal thickness measurements using Orbscan II, non-contact specular microscopy, and ultrasonic pachymetry in eyes after laser in situ keratomileusis. Br. J. Ophthalmol. 88, 466-468.
16. Kiely P. M., Smith G. and Carney L. G. (1982) The mean shape of the human cornea. Optica Acta 29, 1027-1040.
17. Kooijman A. (1983) Light distribution on the retina of a wide-angle theoretical eye. J. Opt. Soc. Am. A 73, 1544-1550.
18. Langenbucher A., Viestenz A. and Seitz B. (2002) Conoidal fitting of corneal topography height data after excimer laser penetrating keratoplasty. J. Refract. Surg. 18, 63-70.
19. Liou H.-L. and Brennan N. A. (1997) Anatomically accurate, finite model eye for optical modeling. J. Opt. Soc. Am. A 14, 1684-1695.
20. Lotmar W. (1971) Theoretical eye model with aspherics. J. Opt. Soc. Am. 61, 1522-1529.
21. Navarro R., Santamaria J. and Bescos J. (1985) Accommodation dependent model of the human eye with aspherics. J. Opt. Soc. Am. A 2, 1273-1281.
22. Navarro R., Gonzalez L. and Hernandez J. L. (2004) Predictions of optical aberrations by personalized eye models. II Physiological Optics Topical Meeting of the European Optical Society, Granada, Spain, September.
23. Pierscionek B. K. (1995) Age related response of human lens to stretching forces. Exp. Eye Res. 60, 325-332.
24. Popiolek-Masajada A. and Kasprzak H. (2002) Model of the optical system of the human eye during accommodation. Ophthalmic Physiol. Opt. 22, 201-208.
25. Scharf L. L. (1991) Statistical Signal Processing. Detection, Estimation, and Time Series Analysis. Addison-Wesley, Reading, MA.
26. Schwiegerling J., Greivenkamp J. E. and Miller J. M. (1995) Representation of videokeratoscopic height data with Zernike polynomials. J. Opt. Soc. Am. A 12, 2105-2113.
27. Smith G., Atchison D. A. and Pierscionek B. K. (1992) Modelling the power of the aging human eye. J. Opt. Soc. Am. A 9, 2111-2117.
28. Tang W., Collins M. J., Carney L. and Davis B. (2000) The accuracy and precision performance of four videokeratoscopes in measuring test surfaces. Optom. Vis. Sci. 77, 483-491.
29. Zhang Z. (1997) Parametric estimation techniques: a tutorial with application to conic fitting. Image Vis. Comput. 15, 59-76.