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When 3D Gaussian Splatting Recovers Real Surfaces

arXiv · AI, language, vision and robotics · article · Aug 30, 2026 · UTC

When does 3D Gaussian Splatting (3DGS) recover the true scene surface rather than just overfitting view-dependent appearance? We answer this by developing a mathematical framework based on a first-hit rendering abstraction that cleanly isolates geometry from appearance. We prove that geometric misalignment forcefully converts spatial textures into high-frequency angular signals via parallax. This establishes a strict identifiability window: if angular capacity is bounded, surface-consistent solutions are mathematically preferred; if unrestricted, the same images can be perfectly explained by a

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First collected: 2026-09-21T07:22:03.933Z. This is not the publication date.