SPHERICAL ABERRATION REDUCTION SYSTEMS AND METHODS

1 . A computer implemented method of determining a vision treatment for an eye of a patient, the method comprising:

receiving an original target profile for the eye of the patient;

obtaining a cut-off spatial domain kernel filter;

convolving the original target profile with the cut-off spatial domain kernel filter to provide a convolved target profile; and

determining the vision treatment based on the convolved target profile.

2 . The method of claim 1 , wherein the cut-off spatial domain kernel filter is based on one of an inverse Fourier transform and a Fourier domain noise filter.

3 . The method of claim 2 , wherein the Fourier domain noise filter is based on at least one of a conjugate of a Fourier domain complex matrix and a modulus of a Fourier domain complex matrix.

4 . The method of claim 3 , wherein the Fourier domain noise filter is characterized by a fraction having a numerator comprising a conjugate of a Fourier domain complex matrix and a denominator comprising a modulus of the Fourier domain complex matrix.

5 . The method of claim 1 , wherein the original target profile comprises an original refractive spherical equivalent value within a 4 mm diameter area, and the convolved target profile comprises a target refractive spherical equivalent value within a 4 mm diameter area.

6 . The method of claim 5 , further comprising scaling the original refractive spherical equivalent using the target refractive spherical equivalent value.

7 . The method of claim 1 , further comprising elevating the convolved target profile so that a lowest point on the convolved target profile is zero or greater.

8 . The method of claim 1 , wherein the convolved target profile comprises a transition zone having a transition zone radius, the method further comprising applying a damping multiplier at the transition zone radius or at a location equal to or less than a distance, determined by zero curvature within the transition zone, of the transition zone radius.

9 . The method of claim 1 , further comprising generating a target shape comprising an optical zone having a periphery, and

convolving the original target profile causes a change in the target shape equal to or less than a distance, determined by zero curvature within a transition zone, from the periphery of the optical zone.

10 . A system for determining a vision treatment for an eye of a patient, the system comprising:

a memory configured to store programmed instructions and data; and

a processor in communication with the memory and configured to:

receive an original target profile for the eye of the patient;

obtain a cut-off spatial domain kernel filter;

convolve the original target with the cut-off spatial domain kernel filter to provide a convolved target profile; and

determine the vision treatment based on the convolved target profile.

11 . The system of claim 10 , wherein the cut-off spatial domain kernel filter is based on one of an inverse Fourier transform and a Fourier domain noise filter.

12 . The system of claim 11 , wherein the Fourier domain noise filter is based on at least one of a conjugate of a Fourier domain complex matrix and a modulus of a Fourier domain complex matrix.

13 . The system of claim 12 , wherein the Fourier domain noise filter is characterized by a fraction having a numerator comprising a conjugate of a Fourier domain complex matrix and a denominator comprising a modulus of the Fourier domain complex matrix.

14 . The system of claim 10 , wherein the original target profile comprises an original refractive spherical equivalent value within a 4 mm diameter area, and the convolved target profile comprises a target refractive spherical equivalent value within a 4 mm diameter area.

15 . The system of claim 14 , wherein the processor is further configured to scale the original refractive spherical equivalent using the target refractive spherical equivalent value.

16 . The system of claim 10 , wherein the processor is further configured to elevate the convolved target profile so that a lowest point on the convolved target profile is zero or greater.

17 . The system of claim 10 , wherein the convolved target profile comprises a transition zone having a transition zone radius, and the processor is further configured to apply a damping multiplier at the transition zone radius or at a location equal to or less than a predetermined distance, determined by zero curvature within the transition zone, of the transition zone radius.

18 . The system of claim 10 , wherein the processor is further configured to generate a target shape comprising an optical zone having a periphery, and

convolving the original target profile causes a change in the target shape equal to or less than a distance, determined by zero curvature within a transition zone, from the periphery of the optical zone.

19 . A non-transitory computer readable medium including instructions which when executed cause a computer to execute a method of determining a vision treatment for an eye of a patient, the method comprising:

receiving an original target profile for the eye of the patient;

obtaining a cut-off spatial domain kernel filter;

convolving the original target profile with the cut-off spatial domain kernel filter to provide a convolved target profile; and

determining the vision treatment based on the convolved target profile.

20 . The non-transitory computer readable medium of claim 19 , wherein the method further comprise scaling an original refractive spherical equivalent using a target refractive spherical equivalent value.