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Angle-Retaining Chromaticity and Color Space: Invariants and Properties
1Department of Informatics, Systems and Communication, University of Milano-Bicocca, 20126 Milano, Italy.
Journal of Imaging
|September 22, 2022
Summary
The angle-retaining color space (ARC) offers a novel way to represent color data by mapping angular RGB distances to Euclidean ARC distances. This study analyzes ARC properties and its suitability for color constancy applications.
Area of Science:
- Computer Vision
- Color Science
- Image Processing
Background:
- The angle-retaining color space (ARC) utilizes a cylindrical model where angular distances in RGB map to Euclidean distances in ARC.
- This property makes ARC suitable for data representation in color constancy tasks.
Purpose of the Study:
- To conduct an in-depth analysis of the properties of the angle-retaining color space (ARC).
- To evaluate the numerical precision of ARC-to-RGB transformations and the impact of RGB perturbations on ARC representation.
- To compare ARC empirically against other chromaticity diagrams and analyze its perceptual uniformity.
Main Methods:
- Empirical comparison of the ARC diagram with other chromaticity diagrams.
- Analytical characterization of ARC space components and RGB perturbation impacts.
- Documentation of numerical precision variations in ARC-to-RGB transformations.
Main Results:
- Variations in numerical precision for two ARC-to-RGB formulations were documented.
- The impact of RGB perturbations on the ARC representation was characterized.
- Empirical comparisons revealed ARC's unique properties relative to other diagrams.
Conclusions:
- The angle-retaining color space (ARC) demonstrates unique properties beneficial for color constancy.
- Further research is needed to develop new perceptual color metrics for ARC.
- ARC's suitability for data representation warrants continued investigation in color science.
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