Tone Type Identification via Regression in Color Space
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Solution Overview
Problem
The concept of 'tone' in the Practical Color Co-ordinate System (PCCS) is not rationally defined by psychophysical values, making it difficult to determine the psychophysical value of colors belonging to arbitrary tones, and manual methods for creating color charts are prone to variations based on human perception.
Innovation Solution
A method involving a computer-based tone definitional equation generation to calculate psychophysical values by converting Munsell values into a color space with lightness and vividness axes, using regression calculations to determine equations that pass through the origin point, and an interface for inputting and displaying Munsell values corresponding to arbitrarily defined tones.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If manual operations based on human perception are used to create color charts, then flexibility in creating arbitrary intermediate tones is achieved, but variations depending on the sense of the creator occur and precision is lost
Solution Approach 1:
The patent replaces the manual mechanical process of visual perception and physical adjustment with an automated computer-based image processing system. The computer automatically analyzes color images, extracts Munsell values, and determines tone types without human intervention, thereby eliminating perception-based variations while maintaining the ability to handle arbitrary tones.
Solution Approach 2:
The system enables self-service by allowing the computer to autonomously perform the complete tone determination process. The computer automatically processes color images, converts them to Munsell color space, calculates psychophysical values, and identifies tone types without requiring manual operations, making the process both precise and adaptable.
2Ease of operation
If the PCCS tone concept is used without psychophysical modeling, then simplicity in color harmony design is maintained, but the ability to rationally define and calculate psychophysical values is lost
Solution Approach 1:
The patent performs preliminary action by pre-establishing the psychophysical modeling framework and regression equations that link PCCS tone concepts to objective measurements. This preliminary setup enables subsequent automatic and precise tone analysis without requiring manual psychophysical evaluations, thus maintaining ease of operation while achieving precision.
Solution Approach 2:
The patent transforms the subjective PCCS tone parameters into objective psychophysical parameters through mathematical modeling. By establishing regression equations between Munsell values and psychophysical measurements, the system enables precise calculation of tone characteristics while preserving the simplicity of the original PCCS framework.
3Measurement precision
If computer-based automated processing is used, then precision and consistency are improved, but device complexity increases
Solution Approach 1:
The patent achieves universality by designing a multi-functional computer-based system that can handle various color spaces (RGB, Munsell, CIELAB), perform multiple operations (image processing, color conversion, psychophysical calculation, tone identification), and process different types of color images. This consolidates multiple functions into a single system, improving precision while managing complexity through integration.
4Manufacturing precision
If regression calculations with multiple parameters are performed, then accuracy of tone definition is improved, but computational complexity increases
Solution Approach 1:
The patent applies parameter changes by transforming complex multi-dimensional color data into simplified regression equations with standardized parameters. The system converts Munsell values and psychophysical measurements into mathematical relationships that can be efficiently calculated, maintaining high accuracy while reducing computational complexity through parameter standardization and regression modeling.
Data Source
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AI summary
[Problem] To provide a technique for calculating the psychophysical value of a color corresponding to an arbitrarily defined tone by modeling a tone concept defined in the PCCS (Practical Color Co-ordinate System). [Solution] A method for, regarding multiple types of tones defined in the PCCS, generating a definitional equation for each saturation to which each of the tones belongs, wherein a computer acquires the Munsell values of colors belonging to respective multiple tones belonging to the same saturation among the multiple types of tones defined in the PCCS, the computer stores the acquired multiple Munsell values in a predetermined storage device, the computer converts each of the multiple Munsell values stored in the storage device into a value in a predetermined color space composed of two axes of values representing lightness and values representing vividness, and the computer performs a predetermined regression calculation on a point group projected to the predetermined color space to find a regression equation passing through the origin of the predetermined color space.