Wavefront Map Transformation for Pupil Geometry Changes
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Solution Overview
Problem
Current approaches to wavefront refraction and ablation shape design for vision correction, such as treating presbyopia, do not adequately consider geometrical transformations like pupil constriction, cyclorotation, or pupil center shift, leading to inaccuracies in calculating wavefront refractions and designing optimal correction profiles.
Innovation Solution
The development of systems and methods that calculate new sets of basis function coefficients for ocular wavefront maps undergoing geometrical transformations, including pupil constriction, cyclorotation, or pupil center shift, using a generic pupil rescaling formula (GPRF) to account for changes in pupil parameters, allowing for accurate wavefront refraction calculations and tissue ablation profile adjustments.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If wavefront refraction and ablation shape design are performed without considering geometrical transformations, then the calculation process is simpler, but the accuracy of wavefront determinations deteriorates
Solution Approach 1:
The patent applies parameter changes by systematically transforming wavefront map parameters (pupil size, pupil center position, cyclorotation angle) to account for geometrical transformations. The method calculates new Zernike coefficients based on transformed parameters, thereby improving measurement precision while managing calculation complexity through structured parameter transformation.
Solution Approach 2:
The patent performs preliminary calculation of geometrical transformation effects before final wavefront refraction determination. By pre-calculating the transformed wavefront map parameters and Zernike coefficients, the system prepares accurate input data for subsequent refraction calculations, ensuring measurement precision without compounding complexity during the main calculation phase.
2Manufacturing precision
If geometrical transformations are accounted for in wavefront refraction calculations, then the accuracy of vision correction improves, but the computational complexity increases
Solution Approach 1:
The patent systematically transforms wavefront map parameters (pupil diameter, pupil center coordinates, cyclorotation angle) to reflect actual geometrical transformations. By calculating new Zernike coefficients from transformed parameters, the method achieves higher manufacturing precision in vision correction while managing computational complexity through structured parameter transformation rather than full wavefront recalculation.
Solution Approach 2:
The patent segments the calculation process into distinct stages: (1) detecting geometrical transformation parameters, (2) transforming wavefront map parameters, (3) calculating new Zernike coefficients, and (4) performing refraction calculations. This segmentation allows the system to achieve high accuracy while managing computational complexity by addressing each transformation aspect separately rather than simultaneously.
3Reliability
If pupil parameters are adjusted for geometrical transformations, then the discrepancy between manifest and wavefront refractions is reduced, but the treatment process becomes more complex
Solution Approach 1:
The patent changes pupil parameters (diameter, center position, orientation) to account for geometrical transformations between manifest refraction and wavefront refraction measurements. By systematically transforming these parameters and recalculating Zernike coefficients, the method reduces measurement discrepancies and improves reliability, while the automated parameter transformation process manages operational complexity.
Data Source
AI summary
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.