A new full-colour 3D holographic augmented-reality (AR) display system has been developed using a unique combination of inverse-designed metasurface gratings, a compact dispersion-compensating waveguide geometry, and artificial-intelligence-driven holography algorithms. This system enables the display of vibrant, full-colour, 3D AR content in a compact device form factor, overcoming the limitations of traditional AR displays, such as bulky projection optics and the inability to accurately portray 3D depth cues. The system uses a phase-only spatial light modulator (SLM) and a high-index glass metasurface waveguide to relay full-colour 3D holographic images with high uniformity and see-through efficiency. The metasurface waveguide is designed to correct chromatic dispersion through geometric design and k-vector matching, ensuring high-quality 3D holographic images. The system also incorporates an artificial-intelligence-driven wave propagation model that combines physically accurate waveguide models with learned components automatically calibrated using camera feedback. This model significantly improves the visual quality of the holographic images. The system has been tested with a prototype, demonstrating high-quality, full-colour multiplane 3D holographic images using a single optical see-through (OST) AR waveguide. The system provides unprecedented full-colour image quality in a compact form factor, enabling a path towards true 3D holographic AR glasses. The metasurface waveguide is fabricated using electron beam lithography on high-index glass, ensuring minimal absorption loss and sufficient light-matter interaction. The system's design allows for compactness, dispersion correction, transmission efficiency, and angular uniformity, meeting the high demands of 3D-capable AR applications. The system's performance is validated through experimental results, showing significant improvements in image quality compared to existing waveguide-based AR displays. The system's co-design of a nanophotonic metasurface waveguide and artificial-intelligence-driven holographic algorithms represents a significant advancement in creating visually compelling 3D AR experiences in a compact wearable device.A new full-colour 3D holographic augmented-reality (AR) display system has been developed using a unique combination of inverse-designed metasurface gratings, a compact dispersion-compensating waveguide geometry, and artificial-intelligence-driven holography algorithms. This system enables the display of vibrant, full-colour, 3D AR content in a compact device form factor, overcoming the limitations of traditional AR displays, such as bulky projection optics and the inability to accurately portray 3D depth cues. The system uses a phase-only spatial light modulator (SLM) and a high-index glass metasurface waveguide to relay full-colour 3D holographic images with high uniformity and see-through efficiency. The metasurface waveguide is designed to correct chromatic dispersion through geometric design and k-vector matching, ensuring high-quality 3D holographic images. The system also incorporates an artificial-intelligence-driven wave propagation model that combines physically accurate waveguide models with learned components automatically calibrated using camera feedback. This model significantly improves the visual quality of the holographic images. The system has been tested with a prototype, demonstrating high-quality, full-colour multiplane 3D holographic images using a single optical see-through (OST) AR waveguide. The system provides unprecedented full-colour image quality in a compact form factor, enabling a path towards true 3D holographic AR glasses. The metasurface waveguide is fabricated using electron beam lithography on high-index glass, ensuring minimal absorption loss and sufficient light-matter interaction. The system's design allows for compactness, dispersion correction, transmission efficiency, and angular uniformity, meeting the high demands of 3D-capable AR applications. The system's performance is validated through experimental results, showing significant improvements in image quality compared to existing waveguide-based AR displays. The system's co-design of a nanophotonic metasurface waveguide and artificial-intelligence-driven holographic algorithms represents a significant advancement in creating visually compelling 3D AR experiences in a compact wearable device.