Multi-Dimensional Color Conversion Table Linearization
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Solution Overview
Problem
Existing methods for linearizing input and output characteristics of multi-dimensional color systems in printers often result in uneven contributions across dimensions, leading to incomplete linearization and errors in color conversion.
Innovation Solution
A correction table generation method that creates a multi-dimensional conversion table with approximate linearity across all dimensions, using inverse one-dimensional conversion and cubic spline functions to minimize conversion errors and optimize target color values, ensuring linearization and natural color reproduction.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If linearization is performed by repeating one-dimensional conversion for respective dimensions, then processing complexity is reduced, but linearization uniformity across all dimensions deteriorates
Solution Approach 1:
The patent transitions from one-dimensional sequential processing to multi-dimensional simultaneous processing. The color conversion table performs multi-dimensional conversion in a single operation, considering all dimensions (C, M, Y, K) together rather than sequentially, thereby achieving uniform linearization across all dimensions while maintaining computational efficiency through pre-computed lookup tables.
Solution Approach 2:
The patent pre-computes and stores correction data in a multi-dimensional color conversion table during system initialization or calibration. This preliminary action allows the system to perform fast lookups during actual color conversion operations, avoiding complex real-time calculations while ensuring accurate and uniform linearization across all dimensions.
2Productivity
If multi-dimensional conversion table is generated without one-dimensional conversion correction, then processing speed is improved, but conversion precision deteriorates
Solution Approach 1:
The system performs one-dimensional conversion corrections in advance and incorporates them into the multi-dimensional color conversion table during its construction. This preliminary correction ensures that when the multi-dimensional table is used for actual color conversions, the results are both precise and computationally efficient, as the complex correction calculations have already been performed and stored.
Solution Approach 2:
The patent merges the results of one-dimensional conversion corrections with the multi-dimensional color conversion data structure. By integrating these corrections into the multi-dimensional table, the system achieves both the precision of corrected conversion values and the speed of multi-dimensional lookup operations.
3Manufacturing precision
If one-dimensional conversion is applied for all dimensions, then conversion uniformity is improved, but processing complexity increases
Solution Approach 1:
The patent employs a multi-dimensional color conversion table that processes all color dimensions (C, M, Y, K) simultaneously in a unified multi-dimensional space. This approach achieves uniform conversion across all dimensions while avoiding the need for separate one-dimensional processing steps for each dimension, thereby maintaining processing efficiency.
Solution Approach 2:
The multi-dimensional color conversion table serves as a universal data structure that handles conversion for all dimensions in a single operation. This unified approach eliminates the need for multiple separate one-dimensional conversion processes, reducing overall processing complexity while ensuring uniformity across all color dimensions.
Data Source
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AI summary
A correction table generation method includes acquiring a first color value of an apparatus non-dependent color system corresponding to an input value of a multi-dimensional apparatus dependent color system in an input lattice point of the color conversion table and generating a multi-dimensional conversion table in which a first apparatus dependent value of the apparatus dependent color system having color conversion table color value characteristics is correlated with a second apparatus dependent value having a color value of the apparatus non-dependent color system and approximate linearity over multiple dimensions, and the generating of the multi-dimensional conversion table includes determining a target color value for multiple dimensions having approximate linearity over the multiple dimensions with respect to the input value, and determining a first apparatus dependent value corresponding to a second apparatus dependent value using the input value, the target color value for the multiple dimensions, and the first color value.