Advances in International Applied Mathematics

To address the distortion in converting wide color gamut video sources to limited-color-range RGB displays and the trade-off between underdetermination and non-negativity constraints in multi-primary system conversion, this study proposes a color gamut conversion model optimized for chromatic aberration based on CIE DE2000. The wide color gamut mapping employs a "linear transformation-convex constraint-local optimization" framework: after converting BT.2020 to CIE-XYZ, super-color-gamut points are projected along the brightness axis and chromatic aberration is optimized under convex constraints. For multi-primary conversion, we design an algorithm combining "non-negative least squares with convex color gamut projection" to ensure physical feasibility while optimizing out-of-domain solutions. Results demonstrate that the BT2020-to-RGB conversion achieves an average DE2000 chromatic aberration reduction of 3.24 (44.3% lower than traditional methods), while the RGBV-to-RGBCX conversion places 95.6% of points within the target color gamut (average chromatic aberration 3.05). This model provides an effective framework for high-fidelity color gamut conversion in LED displays.

Color gamut mapping; CIEΔDE₀₀ ; Multi-primary display; Non-negative least squares; Convex optimization; LED display