Fast Color Mixing Method Using Illuminance Ratios
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Solution Overview
Problem
Current color mixing methods are complex and inefficient, requiring continuous experimentation to adjust color proportions to achieve a desired target color.
Innovation Solution
A method that quickly calculates the illuminance ratio between colors to be mixed using chromaticity coordinates and tristimulus values, allowing for fast and efficient color mixing of any number of colors by determining preset illuminance ratios and mixing colors according to calculated ratios.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If continuous exploration and testing are used to adjust color proportions, then the desired target color can be obtained, but the process becomes complicated and inefficient
Solution Approach 1:
The patent pre-calculates and stores the relationship between illuminance ratios and resulting chromaticity coordinates in a lookup table before actual color mixing operations. This preliminary preparation eliminates the need for continuous exploration and testing during actual use, allowing direct retrieval of the correct illuminance ratio for any desired target color, thus resolving the contradiction between obtaining accurate color mixing and minimizing time loss
Solution Approach 2:
The patent creates a computational model that copies and simulates the complex color mixing physics in advance, storing the results as reference data. Instead of performing actual physical experimentation repeatedly, the system uses the pre-computed lookup table to determine illuminance ratios, replacing time-consuming physical trials with instant data retrieval while maintaining color accuracy
2Adaptability or versatility
If the number of colors to be mixed increases, then more color options are available, but the calculation complexity increases
Solution Approach 1:
The patent segments the color mixing problem into two distinct phases: an offline preparation phase where comprehensive lookup tables are pre-computed for all possible color combinations, and an online execution phase where only simple table lookup and ratio retrieval are needed. This segmentation allows the system to support mixing of any number of colors (high versatility) while keeping the actual mixing process simple (low complexity), as the complex calculations are performed only once during table generation
Solution Approach 2:
The patent performs all complex calculations regarding color mixing relationships in advance and stores them in lookup tables. When actual color mixing is needed, regardless of how many colors are involved, the system only needs to retrieve pre-computed data, thus maintaining simple operational complexity while supporting high adaptability for mixing any number of colors
Data Source
AI summary
A method for realizing fast color mixing of any colors is disclosed. When the number of colors to be mixed is three, the first illuminance ratio between the three colors to be mixed that required for obtaining the target color is calculated. When the number of colors to be mixed exceeds three, the mixed color of other colors except the first and second color is determined firstly according to a settled second illuminance ratio between other colors except for a first and a color, then a third illuminance ratio between the first color, the second color and the mixed color of other colors except for the first and second color for obtaining the target color is calculated. This method can quickly determine the first illuminance ratio between three or more colors to be mixed according to the target color and the illuminance ratio of certain mixed color.