GSWT: Gaussian Splatting Wang Tiles

3D Gaussian Splatting (3DGS) has shown strong capability in reconstructing and rendering photorealistic 3D scenes with high efficiency. However, extending 3DGS to synthesize large-scale or infinite terrains from a single captured exemplar—remains an open challenge. In this paper, we propose a tile-based framework that addresses this problem. Our method builds on Wang Tiles, where each tile encodes a local field of Gaussians with boundary constraints to ensure seamless transitions. This enables stochastic yet continuous tiling of Gaussian fields over arbitrary surfaces, allowing for procedural generation of expansive terrains with high spatial diversity. Furthermore, we introduce several rendering optimizations tailored to the unique characteristics of 3DGS Wang tiles, achieving real-time rendering of large-scale 3DGS terrains.