Color Space Ink Model Generation via Regression Analysis
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Solution Overview
Problem
Conventional ink models have limitations in generating accurate parameter estimates for color space ink models, which affect the quality of ink deposition and color reproduction in printing systems.
Innovation Solution
A printing system that includes processors to receive an ink deposition curve and a color space mapping profile, generating a color space ink model that represents the relationship between color space parameters and ink deposition, using techniques such as Weibull and polynomial regression to create parametric equations for ink deposition data.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional ink models are used to generate parameter estimates, then the process is simple, but the accuracy of color space ink model parameter estimates deteriorates
Solution Approach 1:
The ink model is segmented into multiple independent color space components (L*, a*, b* parameters) that can be processed separately through regression analysis. This allows accurate parameter estimation for each color dimension while maintaining manageable computational complexity through modular processing.
Solution Approach 2:
The model transitions from conventional 2D ink deposition curves to a 3D color space representation (L*, a*, b* parameters). This dimensional expansion enables more accurate parameter estimation by capturing the full chromaticity information, while the use of parametric equations keeps the computational framework organized and manageable.
2Manufacturing precision
If conventional ink models are applied, then the implementation is straightforward, but ink deposition accuracy deteriorates
Solution Approach 1:
The system performs preliminary regression analysis to establish parametric equations for L*, a*, and b* parameters before actual ink deposition. This pre-computation of color space relationships enables more accurate ink deposition control during printing operations, as the complex color transformations are resolved in advance through mathematical modeling.
Solution Approach 2:
The model transforms ink deposition characteristics from simple concentration values to comprehensive color space parameters (L* for lightness, a* for green-red chroma, b* for blue-yellow chroma). This parameter transformation enables precise control of ink deposition by relating it to perceptually relevant color attributes, improving manufacturing precision while the parametric approach manages computational complexity.
3Reliability
If conventional ink models are used, then the processing is simple, but color reproduction quality deteriorates
Solution Approach 1:
The ink model serves multiple functions simultaneously: it characterizes ink deposition curves, transforms color spaces, and generates parametric equations for L*, a*, and b* parameters. This multi-functionality improves color reproduction quality by providing a comprehensive model that handles various color transformation tasks, while the unified parametric framework prevents excessive complexity by consolidating these functions into a single coherent system.
Data Source
AI summary
A printing system is disclosed. The printing system includes at least one physical memory device to store ink model estimation logic and one or more processors coupled with the at least one physical memory device to execute the ink model estimation logic to receive an ink deposition curve for one of a plurality of primary color inks of a print system, receive a color space mapping profile for the print system wherein the color space mapping profile characterizes a relationship between a first color space and a printer color space of the print system and generate a color space ink model for the one of a plurality of primary color inks of the print system based on the ink deposition curve and the color space mapping profile, wherein the color space ink model represents a relationship between each of a plurality of parameters of the first color space and ink deposition.