RGBW Gamut Mapping via Precomputed Matrices

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Solution Overview

Problem

Current gamut mapping algorithms for display systems are either computationally intensive or costly to implement, and there is a need for improved methods that can extend color mapping while reducing display implementation costs.

Innovation Solution

The implementation of a display system that converts RGB input image data into an RGBW image data set by calculating a value for W based on chromaticity specifications and deriving output values for R, G, and B, using conversion matrices and simplifying assumptions to reduce the number of variables and computations, thereby making the process more efficient and cost-effective.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional gamut mapping algorithms are used to convert RGB to RGBW color spaces, then color mapping accuracy is improved, but computational complexity and implementation cost increase

Engineering Contradiction:
Improvecolor mapping accuracyVSAvoidcomputational complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent transforms the complex gamut mapping problem into a simpler linear algebra problem by changing the parameter representation from general color space coordinates to matrix-based linear transformations. This allows the conversion to be performed using pre-calculated conversion matrices, significantly reducing real-time computational complexity while maintaining color mapping accuracy.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent performs preliminary calculations to determine conversion matrices that map RGB color values to RGBW color values. These matrices are pre-computed based on chromaticity specifications and luminance relationships, so that during actual operation, only simple matrix multiplication is required, eliminating the need for complex iterative optimization during real-time conversion.

Inventive Principle:
Principle #10Preliminary action

2Measurement precision

If full-color imaging with multiple primary colors is implemented, then color fidelity is improved, but manufacturing cost and device complexity increase

Engineering Contradiction:
Improvecolor fidelityVSAvoidmanufacturing cost
Core Design Contradiction:
Measurement precisionVSEase of manufacture

Solution Approach 1:

The patent makes the white subpixel serve multiple functions: it contributes to luminance output and can be combined with red, green, and blue subpixels to generate various colors. This multi-functionality allows the display to achieve full-color imaging capabilities with fewer physical subpixels per pixel, reducing manufacturing complexity while maintaining color fidelity.

Inventive Principle:
Principle #6Universality (Multi-functionality)

Solution Approach 2:

The patent changes the approach from physically implementing four separate color filters to using computational color space transformation. By converting RGB input data to RGBW output data through matrix operations, the system achieves extended color gamut without requiring additional physical color filtering layers, thereby simplifying manufacturing.

Inventive Principle:
Principle #35Parameter changes

Data Source

PatentUS7990393B2Systems and methods for implementing low cost gamut mapping algorithms
Publication Date: 2011.08.02 SAMSUNG DISPLAY CO LTD
  • US7990393B2 patent drawing
  • US7990393B2 patent drawing
  • US7990393B2 patent drawing

AI summary

Techniques for low cost gamma mapping convert three-primary input image data, such as RGB data, into a four primary color display color space, such as an RGBW color space, for rendering on the display by calculating a value for W image data based upon the RGB image input data; deriving an allowable value for W based upon a chromaticity specification of the display, and calculating output values for R, G and B image data based upon the allowable W value. A display system receiving input image data specified in three input primary colors includes modules for converting the input image data into image data specifying color values in four display primary colors. A first module determines a value of a first display primary color, and a second module determines the value of second, third and fourth display primary colors by computing a solution set to simultaneous equations based upon the value of the first display primary color.