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REVIEW 3 major objections 5 minor 1 cited by

DynSUP: Dynamic Gaussian Splatting from An Unposed Image Pair

T0 review · 3 major / 5 minor · reviewed 2026-08-12 · deepseek-v4-flash

Pith's one-line read A method that fits dynamic 3D scenes as Gaussians from just two unposed images, jointly recovering camera pose and object motion.

desk verdict Novel and coherent pipeline for dynamic GS from two unposed images, but the test image is used at inference to tune pose and per-object SE(3) ratios, inflating Table 1. read the letter →

arxiv 2412.00851 v1 pith:OC7NCPW3 submitted 2024-12-01 cs.CV

classification cs.CV
keywords 3DGaussianSplattingdynamicscenereconstructionpose-freenovelviewsynthesisbundleadjustmentSE(3)motionfieldtwo-viewtemporalconsistencysegmentation
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper claims that two images taken at different moments from unknown camera poses are sufficient to fit a dynamic scene as 3D Gaussians and render a new view at an intermediate time. The method splits the scene into piecewise-rigid components, solves the camera pose and every object's motion in a single bundle adjustment, then lets each Gaussian refine its own SE(3) transformation. If correct, it is the first demonstration of dynamic Gaussian fitting from two unposed views, removing the usual need for dense views, known poses, and a static scene. Experiments on KITTI driving scenes and the synthetic Kubric dataset report consistent gains over methods that assume static scenes, multiple images, or known poses, and ablations show the object-level initialization is what makes the ambiguous two-view problem converge.

What carries the argument

The load-bearing mechanism is a two-stage pipeline: first, an object-level two-view bundle adjustment that uses optical flow, monocular depth, and motion segmentation masks to divide the scene into static background and rigid objects, then jointly optimizes camera pose, per-object SE(3) transformations, and depths; second, an SE(3) field-driven Gaussian splatting stage in which each 3D Gaussian carries its own learnable SE(3) transformation, initialized from the object-level motion, with a Huber-based regularization that keeps motions smooth within each object and a 6D rotation representation for stable optimization. This bridges geometry (reprojection, depth consistency) and photometry (rendering loss), and the same pipeline with per-object interpolation ratios is reused at test time to align the temporal position of objects.

What would settle it

Take two frames of a dynamic scene that contains no static background, run DynSUP, and check whether camera pose and object motions are still recovered and whether novel-view rendering remains sharp; if the pipeline fails or the camera pose is grossly wrong, the static-background anchor is required.

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Extended reading notes

Core claim

The paper's central claim is that a dynamic scene can be fitted with 3D Gaussian Splatting from a single, unposed pair of images. An object-level dense bundle adjustment decomposes the scene into static background and piecewise-rigid objects, jointly estimating the camera motion and each object's SE(3) motion while regularizing depth. These motions seed an SE(3) field in which every Gaussian has its own learnable rotation and translation, refined jointly with the Gaussian parameters and camera pose under photometric loss. The resulting representation supports rendering a novel view at an intermediate timestamp, including a test-time alignment that optimizes per-object SE(3) interpolation ratios. The paper argues this is the first demonstration of dynamic Gaussian fitting from two unposed views, with experiments showing consistent improvement over methods that assume static scenes, multiple images, or known poses.

Load-bearing premise

The method assumes a detectable static background region whose apparent motion between the two frames is purely camera motion, because the camera pose is taken directly from the static region's motion. If no static region can be found, camera and object motion cannot be separated.

Editorial extensions

If this is right

  • Dynamic novel-view synthesis becomes possible from a two-frame capture with no pose metadata, which matters for casual photography and autonomous driving logs where pose estimation is unreliable.
  • The explicit SE(3) field gives an interpretable per-object motion model that can be interpolated in time, enabling temporal alignment of test frames rather than just spatial rendering.
  • The object-level bundle adjustment provides the initialization that makes the otherwise ambiguous two-view dynamic problem converge; the ablation study shows that removing it degrades rendering sharply in large-motion regions.
  • Because the representation is explicit 3D Gaussians with rigid motions, it can be rendered in real time with existing rasterizers, unlike deformation-field methods that need dense temporal observations.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The method's dependence on a detectable static background suggests a natural stress test: scenes where all visible content moves, such as a train interior or a flock of birds filling the frame, should break the camera-object decomposition unless the ambiguity is resolved by other cues.
  • A natural extension is to chain the two-view bundle adjustment across additional frames, which would give richer observations for the SE(3) field and might relax the static-background requirement.
  • The per-object interpolation-ratio alignment at test time is effectively a temporal pose estimate, so the same mechanism could estimate the time offset between two unposed frames, turning the method into a synchronization tool for uncalibrated cameras.
  • Because the pipeline leans on learned depth and flow priors, its reliability on out-of-distribution motion is bounded by those priors; a controlled test with fast motion and heavy occlusion would clarify how much geometric constraint the two-view objective alone provides.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The paper proposes DynSUP, a two-stage method for fitting dynamic 3D Gaussian Splatting (3DGS) from two unposed images with known intrinsics. In the first stage, an object-level dense bundle adjustment decomposes the scene into a static background and piecewise rigid dynamic objects, jointly estimating camera pose and per-object SE(3) motions using optical flow and monocular depth. In the second stage, each Gaussian is initialized with its object's SE(3) motion and a dense per-Gaussian SE(3) field is optimized jointly with Gaussian parameters and camera pose. At test time, the method additionally optimizes the camera pose and per-object SE(3) interpolation ratios against the actual test image (Sec. 4.3, Eq. 6). Experiments are reported on KITTI and Kubric, with comparisons against 4DGS, SC-GS, and InstantSplat, plus ablations of the SE(3) initialization and the test-time ratio alignment.

Significance. If the evaluation protocol is corrected, this would be a meaningful step: it is the first 3DGS formulation that explicitly combines object-level two-view bundle adjustment with a per-Gaussian SE(3) motion field for dynamic scenes from sparse, pose-free input. The ablation study does provide evidence that the SE(3) initialization matters (Kubric PSNR 26.00 without initialization vs 33.86 with it), and the piecewise-rigid decomposition is a sensible way to constrain an under-determined problem. The paper also honestly lists non-rigid motion and segmentation quality as limitations. However, the current test-time procedure uses the target image to optimize both camera pose and per-object temporal interpolation ratios, so the reported numbers partly measure fitting to the target rather than prediction from the two training images. The central claim of 'use only two images' is therefore not yet supported as stated.

major comments (3)
  1. [Sec. 4.3, Eq. (6); Table 1; Table 2] The evaluation protocol leaks the target image into inference. The text states that at test time the method fixes the trained Gaussians and minimizes the photometric loss against the actual test image Itest, jointly optimizing the camera pose Tcam and, in particular, each object's SE(3) interpolation ratio robj. This means the intermediate frame is rendered after aligning the camera and placing each object at its target temporal position using the answer image. The per-object ratio is not a camera pose, so this is not an ordinary pose-free NVS concession. The ablation in Table 2 quantifies the effect: fixing robj=0.5 reduces Kubric PSNR from 33.86 to 32.14, so about 1.7 dB of the headline result comes directly from target-based ratio optimization. Baselines are not given an equivalent target-adaptive per-object temporal parameter, so the comparison is not apples-to-apples. Please re-evaluate with robj fixed at 0.5 (or otherwise determined from the two training frames alone), and report both settings so the reader can see the predictive performance of the two-view model without the test-time alignment.
  2. [Sec. 4.1, object transformation formula] The formula T_obj^(i) = Tcam (T^(i))^{-1} appears inconsistent with the stated definitions. Since T^(i) maps a 3D point from the I0 camera coordinate system to the I1 camera coordinate system, and T^(0)=Tcam for the static region, for a dynamic region the combined transformation should satisfy T^(i) = Tcam * T_obj^(i) (assuming the world frame coincides with the I0 camera frame). Then T_obj^(i) = Tcam^{-1} T^(i), not Tcam (T^(i))^{-1}. As printed, the initialization of the SE(3) field would be the inverse/conjugation of the intended object motion. Given that the ablation shows SE(3) initialization is crucial for the method's performance, please clarify the transformation convention or correct the formula, and verify that the implemented initialization matches the corrected expression.
  3. [Sec. 4.1, static background assumption] The method relies on a detectable static background region P^(0) whose apparent motion between the two frames is purely camera motion, because the camera pose Tcam is taken directly from T^(0). If a scene has no reliable static region, or the static region is too small, camera motion cannot be separated from object motion, and the SE(3) initialization and the subsequent rendering pipeline lose their anchor. Both datasets used in the paper (KITTI driving scenes, Kubric with static floor and walls) contain prominent static backgrounds, so this assumption is never stress-tested. The conclusion lists non-rigid motion and segmentation quality as limitations but does not mention the static-background requirement. Please add a discussion of this requirement and, if possible, an experiment or qualitative example on a sequence without a dominant static background.
minor comments (5)
  1. [Table 2] The column header 'LPIPS ↑' should be 'LPIPS ↓', since lower LPIPS is better.
  2. [References] The related-work text cites 'MASt3R [25]' and 'Splatt3R [13]', but reference [25] is the Splatt3R paper and reference [13] is Pf3plat; the labels and the reference list need to be corrected to match the intended works.
  3. [Eq. (3)] The notation in Eq. (3) is confusing: Lreproj and Ld already include sums over pixels, so writing Lba = sum_{p in P(i)} (lambda1 Lreproj + lambda2 Ld) reads as a sum of sums. Please rewrite using per-region losses, e.g., Lba = sum_i (lambda1 Lreproj^(i) + lambda2 Ld^(i)).
  4. [Abstract and Fig. 1 caption] The statements 'use only two images' and 'two images captured at distinct moments with unknown poses' should also mention that known camera intrinsics are required, since K appears in all projection equations.
  5. [Sec. 4.2, regularization] The SE(3) regularization Lreg is applied only to dynamic regions (i>0). It would be helpful to state explicitly whether background Gaussians are allowed to drift during optimization and, if so, how background rigidity is enforced.

Circularity Check

1 steps flagged · score 6.0 of 10

Test-time SE(3) ratio optimization against the target image (Eq. 6) means Table 1 measures fitting, not held-out two-view prediction.

  1. fitted input called prediction [Section 4.3, Eq. (6)]
    "During optimization, these per-object interpolation factors are refined to their optimal values, effectively aligning the dynamic object motions with the test views. ... The optimization objective minimizes the photometric discrepancy between the rendered image ˆItest and the actual test image Itest using the loss following [17], jointly refining the camera poses and dynamic object motions to achieve accurate rendering."

    The target of evaluation (the intermediate image Itest) is an optimization input at inference: robj and Tcam are solved by minimizing photometric loss against Itest (Eq. 6). The rendered novel view is thus a fit to the measured image, not a prediction from I0 and I1 alone. The Table 2 ablation quantifies the leak: freezing robj=0.5 drops Kubric PSNR 33.86→32.14, so ~1.7 dB of the headline result comes from target-based ratio optimization. Baselines are not given an equivalent target-adaptive per-object temporal parameter, so the comparison is asymmetric. The two-view fitting of Gaussians itself is independent; the circularity is in the evaluation supporting the 'only two images' claim.

full rationale

The core reconstruction chain is not circular: object-level dense bundle adjustment uses only I0 and I1 (Eqs. 1-3), and the SE(3) field-driven Gaussian training uses only those two frames' photometric losses (Eq. 4). No load-bearing self-citation or ansatz-smuggling is present. The circular step is the evaluation protocol in Sec. 4.3: when rendering the intermediate test frame, the paper fixes the Gaussians trained on the two unposed frames but then optimizes the test camera pose and, crucially, each object's SE(3) interpolation ratio robj against the actual test image Itest (Eq. 6). The per-object ratio is a temporal motion parameter, not a camera pose, so it places dynamic objects using the answer image in hand. The paper is transparent about this optimization and notes it follows prior pose-free practice (InstantSplat, NeRFmm), but the per-object temporal ratio is an additional target-adaptive degree of freedom that baselines are not given. Table 2 confirms the contribution of this step: removing test-time ratio alignment lowers Kubric PSNR from 33.86 to 32.14, so roughly 1.7 dB of the headline result is attributable to fitting the target. Consequently, the claim 'can use only two images' is not fully supported by the current metrics; the intermediate view is generated with the aid of the third image. This is a fixable evaluation flaw, not a fatal derivation flaw, but it is a genuine partial circularity in the paper's central quantitative claim. Score 6 reflects that one or more 'predictions' reduce by construction while the main two-view fitting remains independent.

Assumptions & free parameters 3 free parameters · 6 assumptions · 0 invented entities

No new physical entities are postulated. The SE(3) field and object-level BA are algorithmic constructs, not entities requiring independent evidence. The free parameters listed are the numbers fitted during optimization or chosen by hand that the central claim depends on.

free parameters (3)
  • per-image depth affine parameters theta0, gamma0, theta1, gamma1 = optimized during BA; initial values not reported
    Used in depth regularization (Eq. 2) to let optimized depths deviate only by a global scale and shift from monocular depth estimates; these are optimized per frame during bundle adjustment.
  • per-object SE(3) interpolation ratio r_obj = initialized to 0.5, then optimized per object on the test image
    Controls temporal interpolation of each object's SE(3) transformation; optimized at test time to minimize photometric error against the intermediate frame (Eq. 6).
  • loss weights lambda1, lambda2, lambdat, lambdar = lambda1=1.0, lambda2=0.1, lambdat=1, lambdar=1
    Chosen by hand to balance reprojection, depth, and SE(3) regularization losses; not derived and not ablated.
assumptions (6)
  • domain assumption The scene can be decomposed into piece-wise rigid components, with each dynamic object undergoing a single SE(3) motion between the two frames.
    Core assumption of the object-level BA (Sec. 4.1); the paper acknowledges it fails for non-rigid deformations in the conclusion.
  • domain assumption A reliable static background region P(0) exists in both frames, and its apparent motion T(0) equals the camera motion.
    Camera pose is extracted from T(0); without a static background the separation of camera and object motions is ambiguous. Not stated as a limitation.
  • domain assumption Monocular depth maps D0 and D1 from Depth Anything V2 are accurate up to a per-image affine transform.
    Depth regularization (Eq. 2) forces optimized depths to stay near monocular estimates, so errors in the prior propagate to BA and Gaussian initialization.
  • domain assumption Optical flow (GMFlow) provides correspondences accurate enough that forward-backward consistency (W_fwd) identifies reliable matches.
    Reprojection loss (Eq. 1) rests on flow correspondences; flow failures on fast motion or occlusion would corrupt BA.
  • standard math Known camera intrinsics K are available for both views.
    Used throughout the projection and Gaussian rasterization; the paper assumes intrinsics are known.
  • domain assumption The intermediate test frame's object states can be modeled by interpolating each object's SE(3) transformation between the two training frames.
    Test-time rendering uses per-object SE(3) ratios (Eq. 6), assuming linear or near-linear motion in SE(3).

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Cite this review

Pith. "Pith review of DynSUP: Dynamic Gaussian Splatting from An Unposed Image Pair." pith.science (2026). https://pith.science/paper/OC7NCPW3

@misc{pith2026241200851,
  author       = {Pith},
  title        = {Pith review of: DynSUP: Dynamic Gaussian Splatting from An Unposed Image Pair},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/OC7NCPW3}},
  note         = {Machine review of arXiv:2412.00851}
}
read the original abstract

Recent advances in 3D Gaussian Splatting have shown promising results. Existing methods typically assume static scenes and/or multiple images with prior poses. Dynamics, sparse views, and unknown poses significantly increase the problem complexity due to insufficient geometric constraints. To overcome this challenge, we propose a method that can use only two images without prior poses to fit Gaussians in dynamic environments. To achieve this, we introduce two technical contributions. First, we propose an object-level two-view bundle adjustment. This strategy decomposes dynamic scenes into piece-wise rigid components, and jointly estimates the camera pose and motions of dynamic objects. Second, we design an SE(3) field-driven Gaussian training method. It enables fine-grained motion modeling through learnable per-Gaussian transformations. Our method leads to high-fidelity novel view synthesis of dynamic scenes while accurately preserving temporal consistency and object motion. Experiments on both synthetic and real-world datasets demonstrate that our method significantly outperforms state-of-the-art approaches designed for the cases of static environments, multiple images, and/or known poses. Our project page is available at https://colin-de.github.io/DynSUP/.

Figures

Figures reproduced from arXiv: 2412.00851 by the authors.

Figure 1
Figure 1. Dynamic Gaussian Splatting from An Unposed Im￾age Pair. Given two images captured at distinct moments with unknown poses in a dynamic environment, our method can fit dy￾namic Gaussian splatting and then synthesize a new image from a novel viewpoint at a different time. tions significantly limit their practical applications in real￾world scenarios where one or more conditions may not be satisfied. Recent works have r… view at source ↗
Figure 2
Figure 2. [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Qualitative comparison on the Kubric dataset [10]. Our method produces high-fidelity results for challenging scenes with multiple fast-moving objects. sual results in static regions but produces replicas of the same object at different places due to lack of motion mod￾eling. The grid-based deformation field of 4D-GS [33] has a large capacity for complex motion but performs poorly when the number of observation in sp… view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: Qualitative comparison on the KITTI dataset [9]. Our method handles complex urban environments with varying object and camera motion better than baseline approaches. w/o SE(3) init Ours-full GT [PITH_FULL_IMAGE:figures/full_fig_p008_4.png]
Figure 5
Figure 5. Figure 5: Ablation study on the Kubric dataset [10] for SE(3) initialization. dynamic scenes. Qualitative results in [PITH_FULL_IMAGE:figures/full_fig_p008_5.png]

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Forward citations

Cited by 1 Pith paper

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Pith tools

Reviewed August 12, 2026 · model on record in the stance chip above.