What Builds the Scene? Luminance Dominates Geometry Formation in 3D Gaussian Splatting

Rezvan Joshaghani; Steven Cutchin

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arXiv · 2610.00749

What Builds the Scene? Luminance Dominates Geometry Formation in 3D Gaussian Splatting

Rezvan Joshaghani·Steven Cutchin

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Abstract

Standard 3D Gaussian Splatting (3DGS) learns geometry and appearance jointly from RGB supervision, making it difficult to isolate how luminance and chroma contribute to the learned representation. We study this by training models under different channel supervision, freezing their non-appearance parameters (position, scale, rotation, and opacity), and re-estimating appearance with the same solver before comparing held-out reconstruction. Across eleven benchmark scenes with four independent runs each, geometry learned from luminance alone supports held-out reconstruction 0.085 dB below RGB-trained geometry on average. If chroma is deleted from a trained model, a sufficiently expressive solver can re-fit it on the frozen geometry to the original quality or slightly better. Higher-order spherical harmonics contribute much more reconstruction quality to luminance than to chroma, improving PSNR by 1.44 dB versus 0.19 dB on average, although on mirror-like surfaces hue does still change with viewpoint. The luminance advantage is even larger when geometry is being formed. Chroma-only supervision produces geometry 3.9-5.5 dB worse than luminance-only supervision after the same appearance solve; densification explains part of this gap. Overall, geometry formation in standard 3DGS is strongly luminance-dominated but not luminance-exclusive, and much of the chromatic appearance can be recovered after spatial support has formed.

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Rezvan Joshaghani, Steven Cutchin. 2026-09-30. What Builds the Scene? Luminance Dominates Geometry Formation in 3D Gaussian Splatting. https://arxiv.org/abs/2610.00749

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