Finite schematic eye models and their accuracy to in-vivo data

Measurement of ocular wavefront aberration is becoming a popular clinical technique due to recent technical advances and an increasing awareness of its potential for practical application in the fields of surgical and optical refractive correction. In addition, information about the status of peripheral refraction determined from ocular wavefront aberrations is now being used to monitor the progression of myopia and other refractive errors in children, and as a basis for the study of the process of emmetropization. Several finite, anatomically accurate, wide-angled, model eyes have been proposed previously in an effort to produce a schematic eye that accurately reproduces vision under different practical circumstances. This paper compares these models in terms of their wavefront aberration, image quality metrics and peripheral refraction profiles and contrasts these with data from real eyes to assess their relative utility.

[1]  G Smith,et al.  Nondestructive Method of Constructing Three‐Dimensional Gradient Index Models for Crystalline Lenses: I. Theory and Experiment , 1988, American journal of optometry and physiological optics.

[2]  David A Atchison,et al.  Eye shape in emmetropia and myopia. , 2004, Investigative ophthalmology & visual science.

[3]  C L Schepens,et al.  Wide angle optical model of the human eye. , 1971, Annals of ophthalmology.

[4]  D. Atchison Optical models for human myopic eyes , 2006, Vision Research.

[5]  David A. Atchison,et al.  Optics of the Human Eye , 2023 .

[6]  W. Charman,et al.  Off-axis image quality in the human eye , 1981, Vision Research.

[7]  Habib Hamam,et al.  Monochromatic aberrations as a function of age, from childhood to advanced age. , 2003, Investigative ophthalmology & visual science.

[8]  H. Kasprzak,et al.  New approximation for the whole profile of the human crystalline lens , 2000, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[9]  J. Sivak,et al.  Longitudinal chromatic aberration of the vertebrate eye , 1983, Vision Research.

[10]  D. Williams,et al.  Monochromatic aberrations of the human eye in a large population. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[11]  Scott A Read,et al.  The topography of the central and peripheral cornea. , 2006, Investigative ophthalmology & visual science.

[12]  M J Cox,et al.  Effect of aging on the monochromatic aberrations of the human eye. , 1999, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  P Artal,et al.  Average optical performance of the human eye as a function of age in a normal population. , 1999, Investigative ophthalmology & visual science.

[14]  J. Sivak,et al.  Chromatic dispersion of the ocular media , 1982, Vision Research.

[15]  W. Lotmar Theoretical Eye Model with Aspherics , 1971 .

[16]  D. Atchison,et al.  Recent advances in measurement of monochromatic aberrations of human eyes , 2005, Clinical & experimental optometry.

[17]  Ronald B. Rabbetts,et al.  Comprar Bennett and Rabbett's Clinical Visual Optics | Ronald B. Rabbetts | 9780750688741 | Butterworth Heinemann , 2007 .

[18]  JoÈrgen Gustafssona,et al.  PII: S0275-5408(01)00011-4 , .

[19]  Austin Roorda,et al.  A population study on changes in wave aberrations with accommodation. , 2004, Journal of vision.

[20]  G. Wyszecki,et al.  Axial chromatic aberration of the human eye. , 1957, Journal of the Optical Society of America.

[21]  A. Bradley,et al.  Statistical variation of aberration structure and image quality in a normal population of healthy eyes. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  D. Lara-Saucedo,et al.  Aberrations of the Human Eye in Visible and Near Infrared Illumination , 2003, Optometry and vision science : official publication of the American Academy of Optometry.

[23]  A. Kooijman,et al.  Light distribution on the retina of a wide-angle theoretical eye. , 1983, Journal of the Optical Society of America.

[24]  A. Bradley,et al.  Relationship between Refractive Error and Monochromatic Aberrations of the Eye , 2003, Optometry and vision science : official publication of the American Academy of Optometry.

[25]  W. Stiles,et al.  The Luminous Efficiency of Rays Entering the Eye Pupil at Different Points , 1933 .

[26]  M. Dubbelman,et al.  Change in shape of the aging human crystalline lens with accommodation , 2005, Vision Research.

[27]  D. Atchison,et al.  Shape of the retinal surface in emmetropia and myopia. , 2005, Investigative ophthalmology & visual science.

[28]  A. E. Conrady,et al.  Applied optics and optical design , 1957 .

[29]  Anurag Sharma,et al.  Tracing rays through graded-index media: a new method. , 1982, Applied optics.

[30]  D. Mutti,et al.  Peripheral refraction and ocular shape in children. , 2000, Investigative ophthalmology & visual science.

[31]  David A. Atchison,et al.  Continuous gradient index and shell models of the human lens , 1995, Vision Research.

[32]  B K Pierscionek,et al.  Refractive Index Gradient of Human Lenses , 1989, Optometry and vision science : official publication of the American Academy of Optometry.

[33]  George Smith,et al.  The gradient index and spherical aberration of the lens of the human eye , 2001, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[34]  S Nakao,et al.  [Refractive index distribution in the primate crystalline lens and its schematic eye]. , 1969, Nihon ganka kiyo.

[35]  Toshifumi Mihashi,et al.  Compensation of corneal horizontal/vertical astigmatism, lateral coma, and spherical aberration by internal optics of the eye. , 2004, Journal of vision.

[36]  L G Carney,et al.  Corneal topography and myopia. A cross-sectional study. , 1997, Investigative ophthalmology & visual science.

[37]  Pablo Artal,et al.  Contribution of the cornea and internal surfaces to the change of ocular aberrations with age. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[38]  Karla Zadnik,et al.  Ocular Component Data in Schoolchildren as a Function of Age and Gender , 2003, Optometry and vision science : official publication of the American Academy of Optometry.

[39]  G. van der Heijde,et al.  The Thickness of the Aging Human Lens Obtained from Corrected Scheimpflug Images , 2001, Optometry and vision science : official publication of the American Academy of Optometry.

[40]  R. Navarro,et al.  Accommodation-dependent model of the human eye with aspherics. , 1985, Journal of the Optical Society of America. A, Optics and image science.

[41]  G Smith,et al.  Determination of the radius of curvature of the anterior lens surface from the Purkinje images. , 1996, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[42]  Corina van de Pol,et al.  Normal‐eye Zernike coefficients and root‐mean‐square wavefront errors , 2006, Journal of cataract and refractive surgery.

[43]  Pablo Artal,et al.  Peripheral refractive errors in myopic, emmetropic, and hyperopic young subjects. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[44]  W Neil Charman,et al.  Measuring ocular aberrations in the peripheral visual field using Hartmann-Shack aberrometry. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[45]  W. D. Wright Physiological Optics , 1958, Nature.

[46]  J. Goodman Introduction to Fourier optics , 1969 .

[47]  D R Williams,et al.  Effect of rotation and translation on the expected benefit of an ideal method to correct the eye's higher-order aberrations. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[48]  S. Marcos,et al.  Customized computer models of eyes with intraocular lenses. , 2007, Optics express.

[49]  Kazunori Miyata,et al.  Age-related changes in corneal and ocular higher-order wavefront aberrations. , 2004, American journal of ophthalmology.

[50]  W Neil Charman,et al.  Hartmann-Shack technique and refraction across the horizontal visual field. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[51]  W. Charman,et al.  Longitudinal changes in peripheral refraction with age , 2006, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[52]  Susana Marcos,et al.  Crystalline lens radii of curvature from Purkinje and Scheimpflug imaging. , 2006, Journal of vision.

[53]  R. Navarro,et al.  Off-axis aberrations of a wide-angle schematic eye model. , 1999, Journal of the Optical Society of America. A, Optics, image science, and vision.

[54]  A. Bradley,et al.  The chromatic eye: a new reduced-eye model of ocular chromatic aberration in humans. , 1992, Applied optics.

[55]  N. Brown,et al.  The change in lens curvature with age. , 1974, Experimental eye research.

[56]  P Artal,et al.  Effects of aging in retinal image quality. , 1993, Journal of the Optical Society of America. A, Optics and image science.

[57]  Dion H Scott,et al.  Monochromatic aberrations of human eyes in the horizontal visual field. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[58]  B. Clark,et al.  Posterior corneal curvature. Correlations in normal eyes and in eyes involved with primary angle-closure glaucoma. , 1973, The British journal of ophthalmology.

[59]  Melanie C. W. Campbell,et al.  Measurement of refractive index in an intact crystalline lens , 1984, Vision Research.

[60]  Guoguang Mu,et al.  An anatomically accurate eye model with a shell-structure lens , 2005 .

[61]  A. G. Bennett,et al.  A method of determining the equivalent powers of the eye and its crystalline lens without resort to phakometry. , 1988, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[62]  M. Dubbelman,et al.  The shape of the anterior and posterior surface of the aging human cornea , 2006, Vision Research.

[63]  Damian Siedlecki,et al.  Schematic eye with a gradient-index lens and aspheric surfaces. , 2004, Optics letters.

[64]  M C Dunne,et al.  Normal variations of the posterior corneal surface , 1992, Acta ophthalmologica.

[65]  P Artal,et al.  Determination of the point-spread function of human eyes using a hybrid optical-digital method. , 1987, Journal of the Optical Society of America. A, Optics and image science.

[66]  N Drasdo,et al.  Non-linear projection of the retinal image in a wide-angle schematic eye. , 1974, The British journal of ophthalmology.

[67]  Robert Montés-Micó,et al.  Crystalline lens optical dysfunction through aging. , 2005, Ophthalmology.

[68]  Junzhong Liang,et al.  Aberrations and retinal image quality of the normal human eye. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[69]  David R. Williams,et al.  Off-axis optical quality and retinal sampling in the human eye , 1996, Vision Research.

[70]  J. W. Blaker,et al.  Toward an adaptive model of the human eye. , 1980, Journal of the Optical Society of America.

[71]  R. Navarro,et al.  Monochromatic modulation transfer function of the human eye for different pupil diameters: an analytical expression. , 1994, Journal of the Optical Society of America. A, Optics, image science, and vision.

[72]  Richard Held,et al.  Wave-front aberrations in the anterior corneal surface and the whole eye. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[73]  W N Charman,et al.  Aberrations and myopia , 2005, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[74]  George Smith,et al.  The optical properties of the crystalline lens and their significance , 2003, Clinical & experimental optometry.

[75]  R Navarro,et al.  Monochromatic aberrations and point-spread functions of the human eye across the visual field. , 1998, Journal of the Optical Society of America. A, Optics, image science, and vision.

[76]  David A Atchison,et al.  Recent advances in representation of monochromatic aberrations of human eyes , 2004, Clinical & experimental optometry.

[77]  D A Atchison,et al.  The optical modelling of the human lens , 1991, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[78]  I H Al-Ahdali,et al.  Examination of the effect of the fibrous structure of a lens on the optical characteristics of the human eye: a computer-simulated model. , 1995, Applied optics.

[79]  N A Brennan,et al.  Anatomically accurate, finite model eye for optical modeling. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[80]  Sverker Norrby The Dubbelman eye model analysed by ray tracing through aspheric surfaces , 2005, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[81]  Arthur Bradley,et al.  A statistical model of the aberration structure of normal, well‐corrected eyes , 2002, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[82]  W. Charman,et al.  Optical Image Quality in the Peripheral Retina , 1978, American journal of optometry and physiological optics.

[83]  D A Palmer,et al.  Crystalline lens dispersion. , 1981, Journal of the Optical Society of America.

[84]  Chris Dainty,et al.  Wide-field schematic eye models with gradient-index lens. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[85]  Rafael Navarro,et al.  Adaptive model of the gradient index of the human lens. II. Optics of the accommodating aging lens. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[87]  Renato Ambrósio,et al.  Ocular higher-order aberrations in individuals screened for refractive surgery , 2004 .

[88]  Agnieszka Popiolek-Masajada,et al.  Model of the optical system of the human eye during accommodation , 2002, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[89]  David Williams,et al.  Modulation transfer of the human eye as a function of retinal eccentricity , 1993 .

[90]  David A. Atchison,et al.  Peripheral refraction along the horizontal and vertical visual fields in myopia , 2006, Vision Research.

[91]  George Smith,et al.  Chromatic dispersions of the ocular media of human eyes. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[92]  George Smith,et al.  Tomographic method for measurement of the gradient refractive index of the crystalline lens. II. The rotationally symmetrical lens. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[93]  A. Popiolek Masajada,et al.  Numerical study of the influence of the shell structure of the crystalline lens on the refractive properties of the human eye , 1999 .

[94]  M Millodot,et al.  Effect of Ametropia on Peripheral Refraction , 1981, American journal of optometry and physiological optics.

[95]  Mark W. Becker,et al.  Facial expression of emotion mediates gaze cuing , 2010 .

[96]  Rob G L van der Heijde,et al.  Radius and asphericity of the posterior corneal surface determined by corrected Scheimpflug photography. , 2002, Acta ophthalmologica Scandinavica.

[97]  J. Marshall,et al.  Shape and radius of posterior corneal surface. , 1993, Refractive & corneal surgery.

[98]  M. Dubbelman,et al.  Changes in the internal structure of the human crystalline lens with age and accommodation , 2003, Vision Research.

[99]  M. Dubbelman,et al.  The shape of the aging human lens: curvature, equivalent refractive index and the lens paradox , 2001, Vision Research.

[100]  D A Atchison,et al.  Modeling the power of the aging human eye. , 1992, Journal of the Optical Society of America. A, Optics and image science.

[101]  Christopher W. Tyler,et al.  Component analysis of BOLD response , 2004 .

[102]  Rafael Navarro,et al.  Adaptive model of the gradient index of the human lens. I. Formulation and model of aging ex vivo lenses. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[103]  R. Maloney,et al.  Topographic determination of corneal asphericity and its lack of effect on the refractive outcome of radial keratotomy. , 1995, American journal of ophthalmology.

[104]  J. M. Pope,et al.  Refractive index distribution and optical properties of the isolated human lens measured using magnetic resonance imaging (MRI) , 2005, Vision Research.

[105]  LUIS GONZÁLEZ,et al.  On the Prediction of Optical Aberrations by Personalized Eye Models , 2006, Optometry and vision science : official publication of the American Academy of Optometry.

[106]  W Neil Charman,et al.  Influences of reference plane and direction of measurement on eye aberration measurement. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[107]  David A. Atchison,et al.  Influence of age on peripheral refraction , 2005, Vision Research.

[108]  Marvin M. Chun,et al.  Visual context implicitly guides attentional set , 2004 .