Wavefront Aberration Extrapolation Using Conversion Matrices
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Solution Overview
Problem
Current methods for refractive vision correction treatments face challenges in obtaining accurate wavefront aberration data, particularly when extrapolating from a smaller pupil diameter to a larger diameter, as pharmacological dilation introduces measurement errors and existing mathematical techniques fail to provide feasible results.
Innovation Solution
A method and apparatus that utilize a conversion matrix generated from a static and dynamic matrix, considering the first pupil diameter, to extrapolate wavefront aberration data represented by Zernike polynomials, allowing for accurate data representation and processing for refractive vision correction treatments.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Area of stationary object
If pharmacological pupil dilation is used to obtain wavefront aberration data, then the pupil diameter is increased to improve measurement coverage, but measurement errors and reliability deteriorate due to side effects and measurement inaccuracies
Solution Approach 1:
The patent applies preliminary action by performing mathematical extrapolation of wavefront data from the measurable pupil area to predict the optical characteristics of the larger dilated pupil area before actual dilation occurs. This allows the treatment to be planned based on extrapolated data, avoiding the need for pharmacological dilation and its associated measurement errors and side effects.
2Area of stationary object
If existing mathematical extrapolation techniques are used to extend wavefront data from smaller to larger pupil diameters, then data coverage is improved, but manufacturing precision and reliability worsen due to inaccurate results
Solution Approach 1:
The patent applies parameter changes by utilizing the pupil diameter as a key parameter to generate different conversion matrices. The system creates specific conversion matrices tailored to different pupil diameter ratios, allowing accurate extrapolation from the measured pupil size to the target dilated pupil size. This parameter-based approach significantly improves extrapolation accuracy compared to generic mathematical techniques.
Solution Approach 2:
The patent introduces a conversion matrix as an intermediary tool that facilitates the transformation of wavefront data from one pupil diameter to another. This conversion matrix acts as a mediator that accounts for the specific optical characteristics and geometric relationships between different pupil sizes, enabling accurate data extrapolation while maintaining manufacturing precision.
3Area of stationary object
If the optical zone is enlarged to cover the entire pupil area, then comprehensive data coverage is improved, but device complexity and measurement difficulty increase
Solution Approach 1:
The patent applies copying by creating a mathematical model (extrapolated wavefront data) that replicates the optical characteristics of the larger optical zone based on measurements from a smaller zone. Instead of physically measuring the entire large optical zone which would require complex equipment, the system copies the optical properties from the measurable area to the target area using conversion matrices, thereby reducing device complexity while achieving comprehensive data coverage.
Data Source
AI summary
A method and an apparatus for extrapolating diagnostic data relating to one pupil diameter to another pupil diameter. Embodiments according to the invention are more particularly directed to extrapolating wavefront aberration data, for example, in the form of Zernike polynomial data, obtained from a smaller pupil diameter, d1, to a larger pupil diameter, d2. Data relating to the first pupil diameter d1 may be obtained in a diagnostic procedure. In the extrapolation, a conversion matrix M is utilized. The conversion matrix M can be generated from a static matrix and a dynamic matrix, the latter taking the pupil diameter d1 into consideration. Data relating the first pupil diameter d1 and wavefront aberration data can be ordered via a permutation matrix P. If necessary, Extrapolated data can be re-ordered via a transposed permutation matrix PT. The extrapolated data relating to the pupil diameter d2 can be processed to obtain an ablation profile, a shot file, or other data for a refractive vision correction treatment.