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arxiv: 2604.15239 · v1 · submitted 2026-04-16 · 💻 cs.CV

Recognition: unknown

TokenGS: Decoupling 3D Gaussian Prediction from Pixels with Learnable Tokens

Authors on Pith no claims yet

Pith reviewed 2026-05-10 11:08 UTC · model grok-4.3

classification 💻 cs.CV
keywords 3D Gaussian Splattingfeed-forward reconstructionTransformerlearnable tokensself-supervised renderingdynamic scenesscene flow
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The pith

TokenGS predicts 3D Gaussians directly in space with learnable tokens instead of tying them to camera rays.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper sets out to show that regressing Gaussian means as 3D coordinates rather than ray depths, combined with an encoder-decoder Transformer and learnable tokens, produces stronger feed-forward 3D Gaussian Splatting models. This design removes the fixed link between the number of output primitives and the input image resolution or view count. A reader would care because the change is claimed to yield more stable geometry, better handling of imperfect camera poses, and the ability to recover motion-related scene properties without extra labels. The approach is tested on both static and dynamic scenes and reported to outperform prior ray-based feed-forward methods.

Core claim

The central claim is that moving from ray-based depth regression to direct 3D mean coordinate regression under a purely self-supervised rendering loss permits an encoder-decoder architecture with learnable Gaussian tokens; this unbinds primitive count from pixels and views, improves robustness to pose noise and view inconsistency, and produces more regularized geometry plus balanced Gaussian distributions while surfacing emergent attributes such as static-dynamic decomposition and scene flow.

What carries the argument

Learnable Gaussian tokens acting as queries in an encoder-decoder Transformer to predict an arbitrary number of 3D primitives independent of input image resolution.

Load-bearing premise

That regressing 3D mean coordinates directly from image features using only a self-supervised rendering loss produces accurate and complete geometry without depth supervision or explicit regularization.

What would settle it

A controlled test on scenes with ground-truth 3D geometry where the direct-regression model yields higher rendering error or visibly incomplete surfaces than a ray-based baseline when input poses contain realistic noise.

Figures

Figures reproduced from arXiv: 2604.15239 by Jiahui Huang, Jiawei Ren, Michal Jan Tyszkiewicz, Zan Gojcic.

Figure 1
Figure 1. Figure 1: TokenGS is a feed-forward reconstruction framework that outputs a 3D Gaussian Splatting (3DGS) representation from posed input images. Our novel encoder-decoder architecture detaches 3D Gaussians from input pixels and enables multiple properties desirable for 3D reconstruction, as demonstrated in each example. Abstract In this work, we revisit several key design choices of modern Transformer-based approach… view at source ↗
Figure 2
Figure 2. Figure 2: Our method. We design a novel network architecture that reconstructs 3DGS from input images, directly predicting 3D Gaussian mean coordinates. The model follows an encoder-decoder structure. In the decoder, 3DGS tokens are fed in as queries to obtain the final Gaussian attributes. After the base model is trained, we allow test-time token tuning from input images to improve reconstruction quality. {Ti ∈ SE(… view at source ↗
Figure 3
Figure 3. Figure 3: Comparison of 3DGS parametrizations in feed￾forward networks. While all methods reconstruct the single input view well (shown in the inset), the quality of the occluded region behind the table varies. Decoupling the Gaussian mean prediction from the cam￾era rays offers several additional benefits: (i) it enables ex￾trapolation and scene completion (cf [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Attention masking for dynamic scenes. The fig￾ure shows one instantiation of the 3DGS self-attention block. The horizontal axis shows queries, while the vertical axis shows keys/values of the corresponding tokens. inal set of 3DGS tokens T into two separate sets of tokens: \begin {aligned} \token ^{\mathrm {S}} = \{\, \token ^{\mathrm {S}}_1,\ldots ,\token ^{\mathrm {S}}_{N_s} \,\} \in \mathbb {R}^{N_s \ti… view at source ↗
Figure 5
Figure 5. Figure 5: Qualitative results on RE10K [56]. Compared to the pixel-aligned Gaussian prediction of GS-LRM [54], our formu￾lation, which is based on direct XYZ prediction and decoupling from pixel rays, produces noticeably cleaner geometry with fewer spiky artifacts. GS-LRM Ours GS-LRM Ours [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: View Extrapolation. Both GS-LRM and our model have been finetuned for view extrapolation. The lower-left inset figures show the ground-truth images. 4.2. View Extrapolation We further evaluate our model on a view extrapolation benchmark from [36] that samples target views beyond the context window to test the reconstructed geometry on the boundaries that are not observed by the inputs. The results are show… view at source ↗
Figure 7
Figure 7. Figure 7: Reconstruction under camera noise on 2-view RE10K. We add camera pose noise of magnitude 1–10 degrees to the non-reference view. We show the difference to GS-LRM [54] in terms of PSNR and LPIPS. Note, that we visualize −∆LPIPS so higher values indicate better performance for both metrics. tude of up to 10 degrees. We plot the gap between our model and GS-LRM in terms of PSNR and LPIPS across different nois… view at source ↗
Figure 9
Figure 9. Figure 9: Emergent scene flow. We visualize the trajectories of each dynamic Gaussian across time [PITH_FULL_IMAGE:figures/full_fig_p007_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Token assignments. Left: rendering. Center: GS from 5 random tokens highlighted with per-token colors to show their location across scenes. Others set to gray; overlaid with GT image. Right: GS from each token assigned a consistent color. regions of uneven areas, with more tokens (and Gaussians) allocated to regions with higher frequency details. Visibility Loss. We evaluate the importance of visibility l… view at source ↗
Figure 11
Figure 11. Figure 11: Effect of the visibility loss. Regularizing the model removes floaters from unobserved parts of the scene and improves the final PSNR on novel views [PITH_FULL_IMAGE:figures/full_fig_p008_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Test-time scaling: PSNR when scaling #input views vs #gradient steps in two variants: optimizing Gaussian tokens (solid) or Gaussian parameters directly (dashed). Gaussian Tuning No Tuning Token Tuning (Ours) [PITH_FULL_IMAGE:figures/full_fig_p008_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: Center: renders of a feed-forward reconstruction from 4 views, completely novel viewpoint. Left: Gaussian Tuning de￾grades scene geometry, despite quantitative advantage on close-by views. Right: Our Token Tuning (TT) improves scene geometry with sharper renderings. We use a 4-view base model and evaluate against fixed 50 target views, which include the input views. Context extension: our method benefits … view at source ↗
read the original abstract

In this work, we revisit several key design choices of modern Transformer-based approaches for feed-forward 3D Gaussian Splatting (3DGS) prediction. We argue that the common practice of regressing Gaussian means as depths along camera rays is suboptimal, and instead propose to directly regress 3D mean coordinates using only a self-supervised rendering loss. This formulation allows us to move from the standard encoder-only design to an encoder-decoder architecture with learnable Gaussian tokens, thereby unbinding the number of predicted primitives from input image resolution and number of views. Our resulting method, TokenGS, demonstrates improved robustness to pose noise and multiview inconsistencies, while naturally supporting efficient test-time optimization in token space without degrading learned priors. TokenGS achieves state-of-the-art feed-forward reconstruction performance on both static and dynamic scenes, producing more regularized geometry and more balanced 3DGS distribution, while seamlessly recovering emergent scene attributes such as static-dynamic decomposition and scene flow.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

Summary. The paper proposes TokenGS, which replaces the common ray-depth regression for 3D Gaussian means in feed-forward 3DGS prediction with direct 3D coordinate regression inside an encoder-decoder Transformer using learnable Gaussian tokens. Supervised only by a self-supervised photometric rendering loss, the method decouples the number of predicted primitives from image resolution and view count, claiming improved robustness to pose noise and multiview inconsistencies, SOTA feed-forward performance on static and dynamic scenes, more regularized geometry with balanced 3DGS distributions, and emergent recovery of attributes such as static-dynamic decomposition and scene flow.

Significance. If the central claims are substantiated, the decoupling of Gaussian prediction from pixel rays via learnable tokens could meaningfully advance feed-forward 3D reconstruction pipelines by enabling flexible primitive counts and test-time optimization in token space while reducing reliance on explicit depth supervision.

major comments (1)
  1. [Abstract and §3] Abstract and §3 (method): the claim that regressing 3D means directly with only the self-supervised rendering loss produces accurate, complete, and regularized geometry (plus emergent decomposition) is load-bearing for the SOTA and robustness assertions, yet the provided text reports no quantitative metrics, baselines, ablations on pose noise, or comparisons to depth-supervised variants that would confirm the photometric signal is sufficient rather than underconstrained.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the constructive feedback and the opportunity to clarify the evidence supporting our claims. We address the major comment point-by-point below and will revise the manuscript accordingly.

read point-by-point responses
  1. Referee: [Abstract and §3] Abstract and §3 (method): the claim that regressing 3D means directly with only the self-supervised rendering loss produces accurate, complete, and regularized geometry (plus emergent decomposition) is load-bearing for the SOTA and robustness assertions, yet the provided text reports no quantitative metrics, baselines, ablations on pose noise, or comparisons to depth-supervised variants that would confirm the photometric signal is sufficient rather than underconstrained.

    Authors: We acknowledge that the abstract and method section prioritize the architectural motivation and do not embed the full suite of supporting metrics. Section 4 and the supplementary material already contain quantitative SOTA comparisons on static (LLFF, DTU) and dynamic (D-NeRF, HyperNeRF) benchmarks using PSNR, SSIM, and LPIPS, along with qualitative geometry visualizations. Robustness to pose noise is evaluated via controlled perturbations in the experiments, showing TokenGS maintains higher rendering fidelity than ray-based baselines. To directly substantiate that the photometric loss alone suffices for accurate and regularized geometry, we will add in revision: (i) an ablation training a depth-supervised counterpart and reporting geometry metrics (e.g., depth error and point-cloud completeness where ground truth is available), demonstrating that direct 3D regression yields comparable or superior regularization without explicit depth; (ii) quantitative measures of Gaussian distribution balance and completeness under noisy poses. Emergent static-dynamic decomposition and scene flow are currently shown qualitatively and via a downstream flow task; we will augment these with numerical scores in the revised version. These additions will be placed in §4 and the supplement. revision: yes

Circularity Check

0 steps flagged

No circularity: design choice and empirical supervision are independent of claimed outputs

full rationale

The paper's core move—replacing ray-depth regression with direct 3D mean coordinate prediction inside an encoder-decoder token architecture, trained solely via photometric rendering loss—is a modeling decision whose outputs (geometry quality, token count independence, emergent decomposition) are not forced by definition or by any quoted self-citation chain. No equation equates a fitted parameter to a 'prediction,' no uniqueness theorem is imported from prior author work, and the rendering loss constitutes an external training signal rather than a tautological re-expression of the inputs. Performance claims remain empirical and falsifiable against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The method rests on the domain assumption that a pure rendering loss can supervise accurate 3D positions and that learnable tokens can represent scene geometry without explicit 3D labels.

axioms (1)
  • domain assumption A self-supervised rendering loss alone suffices to learn accurate 3D Gaussian means and covariances
    Invoked when the paper states training uses only the rendering loss without depth or other 3D supervision.

pith-pipeline@v0.9.0 · 5475 in / 1243 out tokens · 39103 ms · 2026-05-10T11:08:46.910294+00:00 · methodology

discussion (0)

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