Fractal Color Space Encoding for Precise Low-Overhead Reproduction
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Solution Overview
Problem
Existing color measurement and representation systems are inherently inaccurate due to approximations in capture, representation, and rendering, leading to challenges in precise color reproduction across different devices and environments.
Innovation Solution
A computer-implemented color space encoding method using fractal geometry to define a continuous color space, enabling accurate color representation and communication with infinite granularity and efficient data representation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of substance
If discrete encoded values are used to represent colors in digital devices, then storage and communication efficiency is improved, but color accuracy and precision deteriorate due to approximations in the continuous color space
Solution Approach 1:
The color space is segmented into a hierarchical structure with a root node representing the full color space and child nodes representing progressively finer color subdivisions. This segmentation allows selective precision - using fewer segments (coarser granularity) for colors that don't require high accuracy, and more segments (finer granularity) for colors that do, thereby optimizing the trade-off between data storage efficiency and color accuracy.
Solution Approach 2:
The system dynamically adjusts the granularity of color representation based on the specific color being encoded. Rather than using a fixed discrete encoding scheme, the system can adaptively allocate more precision to certain color regions where human perception is more sensitive, while using coarser encoding in less critical regions, thus improving overall color accuracy without proportionally increasing data storage requirements.
2Measurement precision
If higher precision color encoding is used, then color accuracy is improved, but data storage requirements and communication overhead increase
Solution Approach 1:
The color encoding system uses a nested hierarchical structure where child nodes are contained within parent nodes. Each level of the hierarchy represents a different granularity of color precision. This nesting allows the system to store color information at multiple levels of detail, enabling efficient compression by storing only the necessary precision for each color rather than always using maximum precision, thereby reducing overall data storage requirements while maintaining color accuracy where needed.
3Ease of operation
If standardized color systems like CMYK or Pantone are used, then ease of operation and device compatibility are improved, but manufacturing precision and color reproduction accuracy deteriorate due to system limitations
Solution Approach 1:
The fractal-based color encoding system is designed to be universal and compatible with multiple existing color systems including CMYK, Pantone, and device-specific color spaces. The system can translate between these different color models while maintaining the benefits of fractal encoding, thereby providing both ease of operation across different devices and high manufacturing precision through its ability to represent colors with arbitrary precision independent of device-specific limitations.
Data Source
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AI summary
A computer implemented color space encoding system, encoder, decoder, method and data signal are disclosed. The encoding system comprises a data repository encoding data defining a fractal shape and a color space extending over the fractal shape whereby a color in the color space corresponds to a position on the fractal shape, the fractal shape having a fractal coordinate system for specifying a position on the fractal shape, an input interface configured to receive a color measurement and a processor configured to execute computer program code for executing a fractal coordinate encoder, including computer program code configured to obtain the color measurement from the input interface, computer program code configured to map the obtained color measurement to a color in the color space of the data repository, computer program code configured to determine the position of the color in the color space on the fractal shape and computer program code configured to output, via an output interface, fractal coordinates specifying the position on the fractal shape corresponding to the color measurement.