MantleMark: Migrating Watermarks from Multi-View Images to Radiance Fields via Frequency Modulation

Multi-view images are essential for modern radiance field reconstruction methods like Neural Radiance Fields (NeRF) and 3D Gaussian Splatting (3DGS). While image watermarking is a crucial data protection and ownership verification technique, it faces unprecedented challenges in multi-view scenarios. Traditional 2D watermarking techniques often fail to maintain detectability in rendered views, while existing 3D watermarking methods are typically limited to specific reconstruction methods and require access to the reconstruction process. To address these limitations, we propose MantleMark, a watermarking framework that migrates watermarks from multi-view images to radiance fields via frequency modulation. Our key insight is constructing a mantle-like Frequency-domain Watermarking Representation in 3D frequency space, which can be projected to create view-dependent watermarking patterns. Relying upon the Fourier Projection-Slice Theorem, we embed these patterns through magnitude spectrum modulation in the image frequency domain, enabling watermarks to migrate into 3D representations. This approach ensures watermark detectability in rendered views regardless of the reconstruction methods used by adversaries. Extensive experiments demonstrate that our method achieves robust watermark detection while maintaining high visual quality across various radiance field-based reconstruction methods.