Hyperbolic Color Space Conversion for Accurate Cross-Space Mapping
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing colorimetric systems lack accuracy and ease in converting data between different color spaces due to reliance on standardized CIE-XYZ representation, necessitating adaptations that hinder direct transitions and introduce errors.
Innovation Solution
A method for converting data between color spaces using hyperbolic metric projective reference frames, allowing each colorimetric system to be defined independently, with a transfer function facilitating conversions between them, utilizing mathematical operators like decorrelation and Euclidean rotation matrices.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If data conversion between color spaces is performed using standardized CIE-XYZ representation, then all colorimetric systems can be standardized, but conversion accuracy deteriorates and implementation complexity increases
Solution Approach 1:
The patent introduces a hyperbolic color space as an intermediary representation that enables direct conversion between different colorimetric systems. Instead of forcing all systems to adapt to CIE-XYZ, the hyperbolic space serves as a universal mediator that preserves the intrinsic characteristics of each colorimetric system while enabling accurate inter-system conversion through hyperbolic rotation operations.
Solution Approach 2:
The patent transforms the color space representation by changing from standardized CIE-XYZ parameters to hyperbolic color space parameters defined by intrinsic colorimetric characteristics. This parameter change allows each colorimetric system to maintain its unique properties while enabling direct mathematical conversion through hyperbolic rotation matrices, thereby improving conversion accuracy.
2Adaptability or versatility
If data conversion between color spaces is performed using standardized CIE-XYZ representation, then color spaces can be uniformly defined, but implementation difficulty increases
Solution Approach 1:
Thehyperbolic color space acts as a universal intermediary that simplifies implementation by providing a direct conversion path between any two colorimetric systems. The conversion process involves expressing data in the hyperbolic color space using the source system's intrinsic characteristics, then transforming to the target system, eliminating the need for complex multi-step conversions through CIE-XYZ.
Solution Approach 2:
The patent creates a universal conversion framework where thehyperbolic color space can handle conversions between any colorimetric systems (e.g., CIE XYZ, CIE L*a*b*, CIE L*u*v*, sRGB, Adobe RGB) through a unified mathematical approach usinghyperbolic rotation matrices, making the implementation process consistent and simplified across different system pairs.
3Adaptability or versatility
If color spaces adapt to CIE-XYZ standard, then standardization is achieved, but information loss occurs during conversion
Solution Approach 1:
The patent changes the fundamental parameters from standardized CIE-XYZ tohyperbolic color space parameters that are defined by the intrinsic characteristics of each colorimetric system. This parameter change ensures that color information is preserved by maintaining the unique spectral and perceptual properties of each system throughout the conversion process, avoiding information loss that occurs when forcing adaptation to a single standard.
Data Source
AI summary
A method for converting an initial datum between a colour space of a first colorimetric system and a colour space of a second colorimetric system, the initial datum being formed of at least one element expressed in a colorimetric reference system, the method includes: converting the initial datum into a projected datum, by expressing the at least one element in the colour space of the first colorimetric system; adapting the projected datum into an adapted datum, by expressing the at least one element in the colour space of the second colorimetric system. The colour space of the first colorimetric system and of the second colorimetric system are each a hyperbolic space defined by a hyperbolic metric projective reference system.