Induced high order aberrations corresponding to geometrical transformations
Wavefront measurements of eyes are typically taken when the pupil is in a first configuration in an evaluation context. The results can be represented by a set of basis function coefficients. Prescriptive treatments are often applied in a treatment context, which is different from the evaluation context. Hence, the patient pupil can be in a different, second configuration, during treatment. Systems and methods are provided for determining a transformed set of basis function coefficients, based on a difference between the first and second configurations, which can be used to establish the vision treatment.
1. A system for establishing a prescription that mitigates or treats a vision condition of an eye in a particular patient, the system comprising:
a first module comprising a tangible medium embodying machine-readable code that accepts a first ablation profile that corresponds to a first geometrical configuration of the eye in an evaluation context;
a second module comprising a tangible medium embodying machine-readable code that determines an original set of coefficients for a basis function characterizing the first ablation profile, wherein the basis function is a member selected from the group consisting of a Zernike series, a Fourier series, and a Taylor series;
a third module comprising a tangible medium embodying machine-readable code that accepts a second ablation profile that corresponds to a second geometrical configuration of the eye in a treatment context;
a fourth module comprising a tangible medium embodying machine-readable code that determines a transformed set of coefficients for the basis function characterizing the second ablation profile, wherein the transformed set of coefficients are based on the first geometrical configuration of the eye, the original set of coefficients, and the second geometrical configuration of the eye, such that each coefficient of the transformed set of coefficients is based on a corresponding coefficient of the original set of coefficients and a resizing, cyclorotation, or decentration polynomial; and
a fifth module comprising a tangible medium embodying machine-readable code that derives the prescription for the particular patient based on the transformed set of coefficients, wherein the prescription mitigates or treats the vision condition of the eye.
2. The system according to claim 1 , wherein a difference between the first geometrical configuration of the eye and the second geometrical configuration of the eye comprises a pupil center shift.
3. The system of claim 1 , wherein a difference between the first geometrical configuration of the eye and the second geometrical configuration of the eye comprises a cyclorotation.
4. The system according to claim 1 , wherein a difference between the first geometrical configuration of the eye and the second geometrical configuration of the eye comprises a pupil size change.
5. The system according to claim 1 , wherein the basis function is the Zernike series basis function.
6. The system according to claim 1 , wherein the basis function is the Fourier series basis function.
7. The system according to claim 1 , wherein the basis function is the Taylor series basis function.
8. A method for establishing a prescription that mitigates or treats a vision condition of an eye in a particular patient, comprising, through the use of a computer processor:
inputting a first ablation profile that corresponds to a first geometrical configuration of the eye in an evaluation context;
determining an original set of coefficients for a basis function characterizing the first ablation profile, wherein the basis function is a member selected from the group consisting of a Zernike series, a Fourier series, and a Taylor series;
inputting a second ablation profile that corresponds to a second geometrical configuration of the eye in a treatment context;
determining a transformed set of coefficients for the basis function characterizing the second ablation profile, wherein the transformed set of coefficients are based on the first geometrical configuration of the eye, the original set of coefficients, and the second geometrical configuration of the eye, such that each coefficient of the transformed set of coefficients is based on a corresponding coefficient of the original set of coefficients and a resizing, cyclorotation, or decentration polynomial; and
establishing the prescription for the particular patient based on the transformed set of coefficients, wherein the prescription mitigates or treats the vision condition of the eye.
9. The method according to claim 8 , wherein a difference between the first geometrical configuration of the eye and the second geometrical configuration of the eye comprises a pupil center shift.
10. The method according to claim 8 , wherein a difference between the first geometrical configuration of the eye and the second geometrical configuration of the eye comprises a cyclorotation.
11. The method according to claim 8 , wherein a difference between the first geometrical configuration of the eye and the second geometrical configuration of the eye comprises a pupil size change.
12. The method according to claim 8 , wherein the basis function is the Zernike series basis function.
13. The method according to claim 8 , wherein the basis function is the Fourier series basis function.
14. The method according to claim 8 , wherein the basis function is the Taylor series basis function.
15. A method of determining a high order aberration induced by a change in geometrical configuration in an eye of a patient, comprising, through the use of a computer processor:
inputting a first ablation profile that corresponds to a first geometrical configuration of the eye in an evaluation context;
inputting an original set of coefficients for a basis function characterizing the first ablation profile, wherein the basis function is a member selected from the group consisting of a Zernike series, a Fourier series, and a Taylor series;
inputting a second ablation profile that corresponds to a second geometrical configuration of the eye in a treatment context;
inputting a transformed set of coefficients for the basis function, wherein the transformed set of coefficients are based on the first geometrical configuration of the eye, the original set of coefficients, and the second geometrical configuration of the eye, such that each coefficient of the transformed set of coefficients is based on a corresponding coefficient of the original set of coefficients and a resizing, cyclorotation, or decentration polynomial; and
determining the induced high order aberration based on the transformed set of coefficients.
16. The method according to claim 15 , wherein a difference between the first geometrical configuration and the second geometrical configuration comprises a pupil center shift.
17. The method according to claim 15 , wherein a difference between the first geometrical configuration and the second geometrical configuration comprises a pupil size change.
18. The method according to claim 15 , wherein the basis function is the Zernike series basis function.
19. The method according to claim 15 , wherein the basis function is the Fourier series basis function.
20. The method according to claim 15 , wherein the basis function is the Taylor series basis function.
21. The method according to claim 15 , further comprising determining a predicted vision symptom based on the induced high order aberration.
22. A method of determining a high order aberration induced by a change in geometrical configuration in an eye of a patient, comprising, through the use of a computer processor:
inputting a first geometrical configuration of the eye;
inputting an original set of coefficients for a basis function characterizing the first geometrical configuration of the eye, wherein the basis function is a member selected from the group consisting of a Zernike series, a Fourier series, and a Taylor series;
inputting a second geometrical configuration of the eye;
inputting a transformed set of coefficients for the basis function, wherein the transformed set of coefficients are based on the first geometrical configuration of the eye, the original set of coefficients, and the second geometrical configuration of the eye, such that each coefficient of the transformed set of coefficients is based on a corresponding coefficient of the original set of coefficients and a resizing, cyclorotation, or decentration polynomial;
determining the induced high order aberration based on the transformed set of coefficients; and
determining a predicted vision symptom based on the induced high order aberration, wherein the vision symptom comprises a predicted night vision symptom.
23. The method according to claim 15 , further comprising determining a treatment based on the induced high order aberration.
24. The method according to claim 15 , further comprising displaying the transformed set of coefficients for the basis function.
25. The method according to claim 15 , further comprising displaying the induced high order aberration.