Systems and methods for wavefront reconstruction for aperture with arbitrary shape
View Patent ↗Systems, methods, and devices for determining an aberration in an optical tissue system of an eye are provided. Techniques include inputting optical data from the optical tissue system of the eye, where the optical data includes set of local gradients corresponding to a non-circular shaped aperture, processing the optical data with an iterative Fourier transform to obtain a set of Fourier coefficients, converting the set of Fourier coefficients to a set of modified Zernike coefficients that are orthogonal over the non-circular shaped aperture, and determining the aberration in the optical tissue system of the eye based on the set of modified Zernike coefficients.
1. A method of determining an aberration in an optical tissue system of an eye, the method comprising:
inputting optical data from the optical tissue system of the eye, the optical data comprising a set of local gradients corresponding to a non-circular shaped aperture;
processing the optical data with an iterative Fourier transform to obtain a set of Fourier coefficients;
converting the set of Fourier coefficients to a set of modified Zernike coefficients that are orthogonal over the non-circular shaped aperture; and
determining the aberration in the optical tissue system of the eye based on the set of modified Zernike coefficients.
2. The method of claim 1 , comprising establishing a prescription shape for the eye based on the aberration.
3. The method of claim 1 , wherein the non-circular shaped aperture comprises a hexagonal aperture.
4. The method of claim 1 , wherein the non-circular shaped aperture comprises an elliptical aperture.
5. The method of claim 1 , wherein the non-circular shaped aperture comprises an annular aperture.
6. The method of claim 1 , wherein the optical data comprises Hartmann-Shack wavefront sensor data.
7. The method of claim 1 , wherein the step of converting the set of Fourier coefficients to a set of modified Zernike coefficients comprises a Gram-Schmidt orthogonalization process.
8. A method of determining an optical surface model for an optical tissue system of an eye, the method comprising:
inputting optical data from the optical tissue system of the eye, the optical data comprising a set of local gradients corresponding to a non-circular shaped aperture;
processing the optical data with an iterative Fourier transform to obtain a set of Fourier coefficients;
converting the set of Fourier coefficients to a set of modified Zernike coefficients that are orthogonal over the non-circular shaped aperture;
deriving a reconstructed surface based on the set of modified Zernike coefficients; and
determining the optical surface model based on the reconstructed surface.
9. The system of claim 8 , comprising establishing a prescription shape for the eye based on the optical surface model.
10. The method of claim 8 , wherein the non-circular shaped aperture comprises a hexagonal aperture.
11. The method of claim 8 , wherein the non-circular shaped aperture comprises an elliptical aperture.
12. The method of claim 8 , wherein the non-circular shaped aperture comprises an annular aperture.
13. The method of claim 8 , wherein the optical data comprises Hartmann-Shack wavefront sensor data.
14. A method of determining an aberration in an optical tissue system of an eye, the method comprising:
inputting optical data from the optical tissue system of the eye, the optical data comprising a set of local gradients corresponding to a non-circular shaped aperture;
processing the optical data with an iterative Fourier transform module comprising a tangible medium embodying machine-readable code to obtain a set of Fourier coefficients;
converting the set of Fourier coefficients to a set of modified Zernike coefficients that are orthogonal over the non-circular shaped aperture; and
determining the aberration in the optical tissue system of the eye based on the set of modified Zernike coefficients.
15. The method of claim 14 , comprising establishing a prescription shape for the eye based on the aberration.
16. The method of claim 14 , wherein the non-circular shaped aperture comprises a hexagonal aperture.
17. The method of claim 14 , wherein the non-circular shaped aperture comprises an elliptical aperture.
18. The method of claim 14 , wherein the non-circular shaped aperture comprises an annular aperture.
19. The method of claim 14 , wherein the optical data comprises Hartmann-Shack wavefront sensor data.
20. The method of claim 14 , wherein the step of converting the set of Fourier coefficients to a set of modified Zernike coefficients comprises a Gram-Schmidt orthogonalization process.
21. A method of determining an optical surface model for an optical tissue system of an eye, the method comprising:
inputting optical data from the optical tissue system of the eye, the optical data comprising a set of local gradients corresponding to a non-circular shaped aperture;
processing the optical data with an iterative Fourier transform module comprising a tangible medium embodying machine-readable code to obtain a set of Fourier coefficients;
converting the set of Fourier coefficients to a set of modified Zernike coefficients that are orthogonal over the non-circular shaped aperture;
deriving a reconstructed surface based on the set of modified Zernike coefficients; and
determining the optical surface model based on the reconstructed surface.
22. The system of claim 21 , comprising establishing a prescription shape for the eye based on the optical surface model.
23. The method of claim 21 , wherein the non-circular shaped aperture comprises a hexagonal aperture.
24. The method of claim 21 , wherein the non-circular shaped aperture comprises an elliptical aperture.
25. The method of claim 21 , wherein the non-circular shaped aperture comprises an annular aperture.
26. The method of claim 21 , wherein the optical data comprises Hartmann-Shack wavefront sensor data.