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Updated: May 21, 2026

Comparison of Agreement and Accuracy using Binocular Wavefront Optometer with Autorefractor and Phoropter
Published on: September 16, 2025
[Relationships between refractive parameters: sphere, cylinder and axis]
O Touzeau1, T Gaujoux, J Bullet
1Service 5, centre hospitalier national d'ophtalmologie des Quinze-Vingts, 28, rue de Charenton, 75012 Paris, France; Inserm, institut de la vision, 17, rue Moreau, 75012 Paris, France. touzeau@quinze-vingts.fr
Refractive astigmatism is largely independent of spherical refractive error, except in high ametropia. Fellow eyes show strong correlations in refractive parameters, unlike relationships between different refractive components.
Area of Science:
- Ophthalmology
- Optometry
- Vision Science
Background:
- Understanding refractive error relationships is crucial for diagnosing and managing visual impairments.
- Fellow eye symmetry and refractive parameter correlations provide insights into ocular development and stability.
Purpose of the Study:
- To investigate the interrelationships among refractive parameters (sphere, cylinder, axis) in a normal population.
- To analyze the degree of symmetry and correlation between the fellow eyes' refractive parameters.
Main Methods:
- Prospective data collection of subjective refraction and auto-refractometry from 500 patients.
- Analysis of refraction data in a 3D dioptric coordinate system.
- Quantification of WTR/ATR ratio and enantiomorphism using specific mathematical functions.
Main Results:
- Spherical component showed minimal influence on refractive astigmatism, except in high ametropia. Higher cylinder was observed in eyes with spherical equivalents >4D.
- Cylinder and age significantly influenced the WTR/ATR ratio and enantiomorphism, with younger individuals and higher cylinder correlating with WTR and enantiomorphic axes.
- Strong correlations were found between fellow eyes for both cylinder (r=0.66) and spherical equivalent (r=0.96). Oblique axes were less enantiomorphic and associated with lower cylinder.
- Gender had no significant impact on refraction, except for a slight relative hyperopia in females.
Conclusions:
- Refractive astigmatism is largely independent of the spherical component, barring high spherical ametropia.
- Cylinder moderately affects axis orientation (WTR/ATR ratio) and enantiomorphism.
- Fellow eye refractive parameters exhibit significantly stronger relationships than inter-parameter relationships within a single eye.
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