Wavefront Reconstruction for Arbitrary Apertures
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Conventional methods for modeling optical surfaces of the eye, such as those using Zernike polynomials, are limited in accuracy, especially for eyes with keratoconus, leading to errors and 'noise' in refractive corrections due to indirect calculations and incomplete representation of wavefront aberrations.
Innovation Solution
The use of Fourier transform algorithms to determine an optical surface model by inputting optical data from the eye, applying iterative Fourier transforms, and calculating estimated basis function coefficients, which can include Zernike polynomial coefficients, to reconstruct wavefront elevation maps and improve refractive corrections.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If Zernike polynomial methods are used to model optical surfaces, then the method is simple and widely applicable, but the accuracy is limited especially for eyes with keratoconus
Solution Approach 1:
The patent transforms the wavefront reconstruction problem from spatial domain to frequency domain by applying Fourier transform. This parameter change in the mathematical domain allows accurate representation of complex aberrations including keratoconus cases, while maintaining computational efficiency through the properties of Fourier transform and convolution theorem.
Solution Approach 2:
The patent replaces the traditional mechanical approach of direct polynomial fitting (Zernike) with a spectral analysis approach using Fourier transform. This substitution enables more accurate modeling of optical surfaces by analyzing the frequency components of wavefront aberrations, particularly effective for pathological cases like keratoconus.
2Ease of operation
If conventional wavefront reconstruction methods are used, then the process is straightforward, but errors and noise are introduced in refractive corrections
Solution Approach 1:
The patent introduces Fourier transform as an intermediary step between wavefront measurement and refractive correction calculation. This intermediary transformation to frequency domain allows for more accurate representation of optical aberrations, reducing errors and noise in the final refractive correction while maintaining operational simplicity through automated computational processes.
3Measurement precision
If Fourier transform algorithms are used to determine optical surface model, then the accuracy and precision of measuring optical errors is enhanced, but the computational complexity increases
Solution Approach 1:
The patent applies Fourier transform preliminarily to convert the wavefront data into frequency domain before performing the reconstruction. This preliminary transformation simplifies subsequent calculations by enabling the use of convolution theorem and efficient frequency-domain operations, thereby reducing overall computational complexity while maintaining high measurement precision.
Data Source
AI summary
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.