Fractal Algorithm Pattern Generation for Tinted Contact Lenses
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Solution Overview
Problem
Conventional methods for creating patterns on tinted contact lenses are challenging due to the complex geometries of the iris, pupil, and limbal ring, making it difficult to accurately describe and produce lenses that enhance or alter eye colors effectively.
Innovation Solution
The use of algorithms, specifically fractal-based algorithms derived from structures like L-systems and diffusion systems, to generate patterns for tinted contact lenses, which include stochastic elements to create natural-looking designs that can enhance or alter the color of the iris, pupil, and limbal ring, with the ability to control opacity and pigment concentration.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If conventional methods (hand-drawing or computer graphics) are used to create patterns for tinted contact lenses, then the pattern design process is simple and accessible, but the accuracy and precision of describing complex geometries for tooling and manufacturing are poor
Solution Approach 1:
The patent replaces manual or conventional computer graphics pattern creation with a fractal-based algorithmic system. This substitution transforms the pattern generation from a mechanical/manual process into an automated computational process that can precisely generate complex geometries required for contact lens tooling and manufacturing, thereby improving manufacturing precision without proportionally increasing system complexity.
Solution Approach 2:
The patent employs fractal algorithms that utilize parameter changes to generate diverse and accurate pattern geometries. By adjusting fractal parameters, the system can precisely control the complexity and detail of lens patterns, enabling accurate description of complex geometries for different contact lens designs while maintaining a systematic approach to pattern generation.
2Manufacturing precision
If fractal-based algorithms are used to generate patterns for tinted contact lenses, then the manufacturing precision and pattern accuracy are improved, but the device complexity and computational requirements increase
Solution Approach 1:
The fractal-based algorithmic system processes pattern generation through segmented iterative steps. The complex pattern creation is divided into multiple fractal iteration stages, where each stage builds upon the previous one. This segmentation allows the system to manage computational complexity by breaking down the overall pattern generation into manageable computational tasks, thereby improving manufacturing precision through systematic processing.
Solution Approach 2:
The fractal algorithms employ nested iterative structures where patterns are generated through repeated application of self-similar geometric transformations at different scales. This nesting approach allows complex geometries to be generated from simple recursive rules, improving pattern accuracy while organizing computational complexity in a hierarchical manner that can be efficiently processed.
3Reliability
If digital images of actual iris, pupil or limbal ring are used to extract patterns, then the patterns are based on real anatomical structures, but the challenge of accurately describing complex geometries for tooling and production remains
Solution Approach 1:
The patent creates idealized fractal-based copies of anatomical features rather than directly using extracted digital images. The fractal algorithms generate patterns that replicate the self-similar, scale-invariant characteristics naturally found in anatomical structures like the iris, but do so through mathematical models that produce precise, parameterizable geometries suitable for manufacturing tooling and production.
Data Source
AI summary
The invention provides methods for designing patterns for use in tinted contact lenses in which the patterns are generated using algorithms. The method of the invention provides an objective description of the pattern for purposes of tooling, metrology and manufacturing of a lens incorporating the pattern.