# US 10,863,901 B2 · Prescription determination

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- Number: US 10,863,901 B2
- Document ID: US10863901B2
- Status: Granted
- Kind: B2
- Application number: 16/532,624
- Filed: 2019-08-06
- Published: 2019-11-28
- Granted: 2020-12-15
- Earliest claimed: 2017-02-07
- Assignees: Carl Zeiss Vision International GmbH
- Applicants: Carl Zeiss Vision International GmbH; Ray Steven Spratt
- Inventors: Ray Steven Spratt
- Web page: https://patentgrep.com/patent/US10863901B2

## CPC

- A61B 3/103: for determining refraction, e.g. refractometers or skiascopes
- A61B 3/0025: {characterised by electronic signal processing, e.g. eye models}
- A61B 3/1015: {for wavefront analysis}
- A61B 3/107: for determining the shape or measuring the curvature of the cornea
- G02C 7/027: {considering wearer's parameters}
- G02C 7/028: {Special mathematical design techniques}
- G02C 2202/22: Correction of higher order and chromatic aberrations, wave front measurement and calculation
- A61B: DIAGNOSIS; SURGERY; IDENTIFICATION (usefulness limited to only animals A61D)
- G02C: SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES (trial frames for testing the eyes A61B3/04; goggles or eyeshields not having the same features as spectacles A61F9/00)

## Abstract

A method, a system and a computer program for determining an eyeglass prescription for an eye are disclosed. Initially, information about a measurement indicative of the refractive properties of the eye is received. Subsequently, a mathematical representation of wavefront aberrations of the eye is determined from the measurement. The mathematical representation includes a multitude of polynomials, each polynomial having an azimuthal order and a radial order. Further, the mathematical representation includes at least a first polynomial group having a common radial order, wherein the common radial order is higher than two. The eyeglass prescription is determined based on a merit function, wherein each polynomial of the first polynomial group that is used in the merit function has an azimuthal order of −2, 0, or 2, respectively.

## Claims

### Claim 1

A computer-implemented method for determining an eyeglass prescription for an eye, the method comprising:
receiving information about a measurement indicative of refractive properties of the eye;
determining a mathematical representation of wavefront aberrations of the eye from the measurement,
wherein the mathematical representation includes a multitude of terms, wherein each term from among the multitude of terms includes a function dependent on a pupil radius, and wherein each term of the mathematical representation is either independent of an azimuthal angle or has a dependency on an azimuthal angle expressed by at least one of sin(2θ) and cos(2θ) with θ being an azimuthal angle; and
determining the eyeglass prescription based on a merit function, wherein the merit function includes at least one term of the mathematical representation.

### Claim 2

A computer-implemented method for determining an eyeglass prescription for an eye, the method comprising:
receiving information about a measurement indicative of refractive properties of the eye;
determining a mathematical representation of wavefront aberrations of the eye from the measurement,
wherein the mathematical representation includes a multitude of terms, wherein each term from among the multitude of terms includes a function dependent on a pupil radius, and wherein each term of the mathematical representation is either independent of an azimuthal angle or has a dependency on an azimuthal angle expressed by at least one of sin(2θ) and cos(2θ) with θ being an azimuthal angle; and
determining the eyeglass prescription based on a merit function, wherein the merit function includes at least one term of the mathematical representation,
wherein the function dependent on the pupil radius of each term is a polynomial, wherein each polynomial has a radial order, and wherein a highest radial order is higher than two.

### Claim 3 (depends on 1)

The method according to claim 1, wherein the function dependent on the pupil radius of each term is a Fourier series or wherein the function dependent on the pupil radius of each term is a spline function.

### Claim 4 (depends on 1)

A method for manufacturing a spectacle lens, the method comprising:
determining an eyeglass prescription according to the method of claim 1; and
manufacturing the spectacle lens according to the eyeglass prescription.

### Claim 5

A system for determining an eyeglass prescription for an eye, the system comprising:
a processing unit configured to:
receive information about a measurement indicative of the refractive properties of the eye;
determine a mathematical representation of wavefront aberrations of the eye from the measurement, wherein the mathematical representation includes a multitude of terms, wherein each term from among the multitude of terms includes a function dependent on a pupil radius, and wherein each term of the mathematical representation is either independent of an azimuthal angle or has a dependency on an azimuthal angle expressed by at least one of sin(2θ) and cos(2θ) with θ being the azimuthal angle; and
determine the eyeglass prescription based on a merit function, wherein the merit function comprises at least one term of the mathematical representation.

### Claim 6 (depends on 5)

The system of claim 5, further comprising:
a measurement device for measuring the refractive properties of the eye, wherein the measurement device is located at a first site, wherein the processing unit is located at a second site, and wherein the first site and the second site are connected via a data network.

### Claim 7 (depends on 1)

A computer program product stored on a non-transitory storage medium and having program code means for carrying out the method according to claim 1.