Vision Calculator

Convert between different vision measurement systems. Compare vision prescriptions, analyze eye test results, and track vision changes over time.

Sphere (SPH)

Cylinder (CYL) - Optional

Axis - Optional

About Vision Calculator

The Evolution of Vision Measurement Systems

Vision testing and measurement have come a long way since Dutch ophthalmologist Herman Snellen developed his revolutionary eye chart in 1862. This landmark invention—featuring a large letter "E" at the top and progressively smaller letters below—established the foundation for standardized vision assessment that we still use today. Before Snellen's innovation, vision evaluation was largely subjective and inconsistent, relying on a patient's ability to read text at various distances without any standardized methodology.

Throughout the 20th century, vision measurement evolved from this simple beginning into sophisticated systems used by eye care professionals worldwide. Our calculator bridges these various notation systems that emerged across different regions and medical traditions, helping patients understand the relationships between these seemingly different ways of expressing the same visual capability.

Understanding Your Eye Prescription Components

Spherical Power (SPH): The Foundation of Vision Correction

Positive values (+): Indicate hyperopia (farsightedness), where your eye focuses images behind the retina
Negative values (-): Represent myopia (nearsightedness), where your eye focuses images in front of the retina
Measured in diopters (D): Quantifies the refractive power of a lens
Typical prescription range: Usually between -8.00D and +6.00D

Cylinder (CYL) and Axis: Understanding Astigmatism

Cylinder power: Measures additional lens power needed for astigmatism correction
Axis: Specifies orientation (0-180 degrees) of the cylinder correction
Combined effect: Creates a toric lens surface matching eye curvature
Prescription notation: Written as "Sphere, -Cylinder x Axis"

Global Vision Notation Systems

Snellen Fraction: The Classic American Standard

First number (numerator): Testing distance, standardized at 20 feet
Second number (denominator): Distance for normal vision comparison
20/20 vision: Clinical standard for normal visual acuity
Legal implications: Used for driving requirements and disability classifications

Decimal Notation: The European Preference

Mathematical simplicity: Direct conversion from Snellen fraction
Clinical precision: Allows for more precise increments
International standard: Preferred outside the US
Practical example: 0.3 decimal equals 20/60 Snellen

LogMAR: The Gold Standard for Research

Mathematical foundation: Based on logarithm of minimum angle
Inverse scale: Lower numbers represent better vision
Research advantages: Enables precise statistical analysis
Early detection: Enhanced sensitivity for vision changes

Real-World Clinical Applications

Comprehensive vision correction: Modern options include glasses, contact lenses, orthokeratology, laser vision correction, and implantable lenses
Disease monitoring: Tracking conditions like diabetic retinopathy, glaucoma, and macular degeneration
Legal and occupational requirements: Standards for driving, aviation, and professional roles
Pediatric development: Early intervention for conditions like amblyopia
Research frontiers: Development of bionic eyes and neural interfaces

Frequently Asked Questions

What do the numbers in my eye prescription mean?

An eye prescription typically includes three main numbers: sphere (SPH), cylinder (CYL), and axis. The sphere number indicates the lens power needed to correct nearsightedness (-) or farsightedness (+), measured in diopters. The cylinder number describes the lens power needed to correct astigmatism. The axis (0-180 degrees) shows the orientation of the astigmatism correction. For example, a prescription of -2.50 SPH -1.25 CYL x180 means you need -2.50 diopters for nearsightedness correction and -1.25 diopters of cylindrical correction at 180 degrees for astigmatism.

What's the difference between 20/20 and decimal vision notation?

20/20 vision (Snellen fraction) and decimal notation are different ways to express the same visual acuity. In 20/20 vision, the first number represents the testing distance (20 feet), and the second number indicates the distance at which a person with normal vision can read the same line. In decimal notation, 20/20 becomes 1.0, 20/40 becomes 0.5, etc. For example, if you have 20/100 vision, that's 0.2 in decimal notation, meaning you must be 20 feet away to see what someone with normal vision can see at 100 feet. European countries typically use decimal notation, while the US commonly uses the Snellen fraction.

How does astigmatism affect vision correction?

Astigmatism occurs when your cornea or lens has an irregular shape, causing light to focus on multiple points instead of one. The cylinder and axis values in your prescription correct this. The cylinder (CYL) indicates the additional power needed in a specific meridian, while the axis shows the angle (in degrees) where this power should be applied. For instance, a prescription with -1.00 CYL x90 means you need an additional -1.00 diopter of correction along the 90-degree meridian. This creates a toric lens shape that compensates for your eye's irregular curvature, bringing light to a single focus point and providing clearer vision.

Learn More

Vision and Vision Correction Visual Acuity Guide Visual Acuity Testing

Share This Calculator

Include calculator values in URL

Embed on Your Website

Add this calculator to your website