Colored Product Coatings Using Phi-Based Wavelength Matching
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Solution Overview
Problem
Existing methods for manufacturing colored products with complementary colors lack precision in wavelength calculation, leading to inconsistent and suboptimal color matching.
Innovation Solution
A method involving the calculation of complementary wavelengths using a phi factor (n times φ, where φ = 1.618 ± ε) to determine the wavelengths of complementary colors, allowing for precise color matching by coating materials with specific wavelengths.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If traditional methods are used for manufacturing colored products, then the manufacturing process is simple, but the color matching precision is insufficient
Solution Approach 1:
The patent applies parameter changes by introducing a mathematical model that transforms the wavelength calculation from simple subtraction to a multi-parameter formula involving phi factors and wavelength ratios. This changes the calculation parameters to achieve more precise complementary color matching while maintaining manufacturing simplicity.
Solution Approach 2:
The patent replaces mechanical trial-and-error color matching with a mathematical calculation system. Instead of relying on empirical methods or visual assessment, the invention uses formulated equations with phi factors to precisely calculate complementary wavelengths, substituting the mechanical process with a mathematical one.
2Illumination intensity
If complementary colors are used to enhance aesthetic appeal, then the visual effect is improved, but the wavelength calculation becomes more complex
Solution Approach 1:
The patent uses parameter changes by defining complementary colors through specific wavelength ratios and phi factor calculations. This transforms the aesthetic goal into a precise mathematical parameter system, allowing complex visual effects to be achieved through controlled parameter relationships rather than complex processes.
Solution Approach 2:
The patent directly applies color changes by calculating and applying specific complementary wavelengths to the coating materials. The method determines second wavelengths based on first wavelengths using phi factor multiplication, creating complementary color pairs that enhance aesthetic appeal through controlled color theory application.
3Reliability
If precise wavelength calculation is implemented, then color matching consistency is improved, but the manufacturing process becomes more complex
Solution Approach 1:
The patent replaces manual or empirical color matching processes with a standardized mathematical calculation system. The phi factor-based wavelength calculation provides reliable, consistent results that can be replicated across different manufacturing batches, replacing variable human judgment with reproducible mathematical formulas.
Solution Approach 2:
The patent incorporates feedback mechanisms through the calculation of phi factors based on measured first wavelengths. The system uses the measured wavelength data to calculate complementary wavelengths, creating a feedback loop that ensures consistent and reliable color matching while maintaining manufacturing simplicity through automated calculation.
Data Source
AI summary
Method of manufacturing a colored product, which includes obtaining a first colored covering material, where the first colored covering material is a first covering material coated with a first coating, where the first coating has a first color, where the first color has a first wavelength, where the first wavelength is 400 nm to 620 nm; measuring the first wavelength of the first color; determining a second wavelength of a second color, where the determining includes calculating the second wavelength by multiplying the first wavelength by a first phi factor, where the first phi factor is a product of n times φ, where n is 0.1 to 100, where φ is 1.618 ±ε, where ε is 0 to 1, where the second wavelength is 585 nm to 800 nm; obtaining a second covering material, and a second coating having the second color; coating the second covering material with the second coating, to form a second colored covering material; and applying the first colored covering material and the second colored covering material to a product, to form the colored product.