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c
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where σ is volume density, c is emitted colour, and T(t) is accumulated transmittance along the ray up to t . There is no patch, no voxel grid, no fixed token count anywhere in this formulation — the scene is a function evaluated at query points, and any tokenization of it for a downstream language model has to be imposed afterward, by sampling the field at a chosen resolution, which reintroduces exactly the resolution-versus-cost trade video and audio already face.
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Equation 15 · Foundation Models
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
where σ is volume density, c is emitted colour, and T(t) is accumulated transmittance along the ray up to t . There is no patch, no voxel grid, no fixed token count anywhere in this formulation — the scene is a function evaluated at query points, and any tokenization of it for a downstream language model has to be imposed afterward, by sampling the field at a chosen resolution, which reintroduces exactly the resolution-versus-cost trade video and audio already face.
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