Comparison and applications of spherocylindrical, toroidal, and ellipsoidal surfaces for the correction of astigmatism in spectacle lenses

H Xiang, N Li, J Gao, G Zheng, J Chen, C Wang… - Optics …, 2020 - opg.optica.org
… In this study, we applied the toroidal, spherocylindrical, ellipsoidal, and combined surfaces
to correct astigmatism to design the aspheric spectacle lenses and to compare the differences…

Aspherical, sphero-cylindrical, toroidal, and ellipsoidal surfaces for designing astigmatic spectacle lenses with axis orientation

H Xiang, P Wang, Z Zheng, G Zheng, J Chen… - Optica …, 2023 - yadda.icm.edu.pl
ellipsoidal surfaces with astigmatic axes are derived. Based on this, four types of curved
surfaces were designed to correct astigmatism … of clinical treatment for astigmatism correction [1]. …

Standardized analyses of correction of astigmatism by laser systems that reshape the cornea

MB Eydelman, B Drum, J Holladay… - Journal of Refractive …, 2006 - journals.healio.com
ellipse can also be plotted for the TEV distribution, but the vertical component of the TEV
standard deviation is 0.02 D for the cohort shown, too small to appear as an ellipse in the plot. …

Analysis of the effects of astigmatism and misalignment on corneal surface reconstruction from photokeratoscopic data

J Wang, DA Rice, SD Klyce - Journal of Refractive Surgery, 1991 - journals.healio.com
… The length of the vertical semidiameter b varies to change the magnitude of astigmatism. …
between the ellipsoidal surfaces with astigmatism and the nonastigmatic subsidiary surfaces. …

Aspheric surfaces and lenses in ophthalmic optics

G Smith, DA Atchison - The Australian Journal of Optometry, 1985 - Wiley Online Library
… is correction of oblique astigmatism. … ellipse extends from -21.96D to +7.14D in power (see
Figure 5). Outside this region oblique astigmatism can only be minimized for spherical surface

Correction of myopic astigmatism with small incision lenticule extraction

A Ivarsen, J Hjortdal - Journal of Refractive Surgery, 2014 - journals.healio.com
… The posterior surface of the lenticule was cut initially, followed by the anterior surface that
was … The confidence ellipse for the combined means showed a significant combined error of …

Aspherical surfaces used to minimize oblique astigmatic error, power error, and distortion of some high positive and negative power ophthalmic lenses

M Katz - Applied optics, 1982 - opg.optica.org
correction of astigmatismcorrecting astigmatic error, power error, and distortion was
reasonably satisfied in strong concave lenses through use of surfaces that were deformed ellipsoids

[HTML][HTML] Astigmatism analysis and reporting of surgically induced astigmatism and prediction error

JT Holladay, RR Wilcox, DD Koch… - Journal of Cataract & …, 2022 - journals.lww.com
… is the difference between the principal powers of a toric surface, … visual acuity with some type
of astigmatism correction. … R determines the rotational orientation of the confidence ellipse. …

Astigmatism management

T Raviv, RJ Epstein - International ophthalmology clinics, 2000 - journals.lww.com
… and posterior corneal surfaces; the latter surface is believed to … The treatment of
postkeratoplasty astigmatism is beyond the … For example, in myopic WTR astigmatism, the elliptical

Accuracy of corneal astigmatism estimation by neglecting the posterior corneal surface measurement

JD Ho, CY Tsai, SW Liou - American journal of ophthalmology, 2009 - Elsevier
correction of astigmatism. Both the anterior and posterior corneal surfaces contribute to the
total corneal astigmatism. … deviation ellipse. The centroid (represented by the gray dot and …