Calculating Zernike Coefficients from Fourier Coefficients
First Claim
1. A method of calculating an estimated basis function coefficient for a two dimensional surface, the method comprising:
- inputting a Fourier transform of the two dimensional surface;
inputting a conjugate Fourier transform of a basis function surface;
determining a Fourier domain sum of the Fourier transform and the conjugate Fourier transform; and
calculating the estimated basis function coefficient based on the Fourier domain sum.
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Abstract
Systems, methods, and devices for determining an optical surface model for an optical tissue system of an eye are provided. Techniques include inputting a Fourier transform of optical data from the optical tissue system, inputting a conjugate Fourier transform of a basis function surface, determining a Fourier domain sum of the Fourier transform and the conjugate Fourier transform, calculating an estimated basis function coefficient based on the Fourier domain sum, and determining the optical surface model based on the estimated basis function coefficient. The approach is well suited for employing Fourier transform in wavefront reconstruction using Zernike representation.
53 Citations
22 Claims
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1. A method of calculating an estimated basis function coefficient for a two dimensional surface, the method comprising:
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inputting a Fourier transform of the two dimensional surface; inputting a conjugate Fourier transform of a basis function surface; determining a Fourier domain sum of the Fourier transform and the conjugate Fourier transform; and calculating the estimated basis function coefficient based on the Fourier domain sum. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16)
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17. A system for calculating an estimated basis function coefficient for a two dimensional surface, the system comprising:
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a sensor oriented for determining a set of local gradients for the two dimensional surface based on an image transmitted from the two dimensional surface; a processor coupled with the sensor; and a memory coupled with the processor, the memory configured to store a plurality of code modules for execution by the processor, the plurality of code modules comprising; a module for inputting a Fourier transform of the set of local gradients for the two dimensional surface; a module for inputting a conjugate Fourier transform of a basis function surface; a module for determining a Fourier domain sum of the Fourier transform and the conjugate Fourier transform; and a module for calculating the estimated basis function coefficient based on the Fourier domain sum. - View Dependent Claims (18, 19, 20, 21)
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22. A method for calculating an estimated basis function coefficient for an optical tissue system of an eye, the system comprising:
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transmitting an image through the optical tissue system; determining a set of local gradients for the optical tissue system by detecting the transmitted image; inputting a Fourier transform of the set of local gradients for the optical tissue system; inputting a conjugate Fourier transform of a basis function surface; determining a Fourier domain sum of the Fourier transform and the conjugate Fourier transform; and calculating the estimated basis function coefficient based on the Fourier domain sum.
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Specification