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H3D-DGS: Exploring Heterogeneous 3D Motion Representation for Deformable 3D Gaussian Splatting

NeurIPS 2025 · 3D vision › Gaussian splatting · approach: Deformable 4D Gaussian splatting · 1 citations (OpenAlex)

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Proposes H3D control points, a heterogeneous 3D motion representation that gets the image-plane motion components from optical flow back-projection and learns only the unobservable depth-direction components by gradient descent, for fast streaming dynamic scene reconstruction with deformable 3DGS.

Problem

Deformable 3D Gaussian Splatting for dynamic multi-view real-world scenes relies on gradient-based optimization of all motion, which has high degrees of freedom and converges poorly on complex real-world motion.

Approach

Decouple local 3D motion into components projected onto the image plane (computed directly from optical flow via back-projection under a local parallel-ray assumption) and unobservable components (learned by gradients), stored as sparse control points that drive nearby Gaussians via K-nearest-neighbor interpolation.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use H3D full motion control instead of no motion control (ablation)H3D-DGS GoS-10 · Neu3DV sear_steak, first 30 framesPSNRHelped
Use full H3D motion control instead of projected motion attributes only (ablation)H3D-DGS GoS-10 · Neu3DV sear_steak, first 30 framesPSNRHelped
Add keyframe residual compensation (ablation)H3D-DGS streaming workflow · Neu3DV sear_steak, GoS-10PSNRHelped
Add local macro-rotation (ablation)H3D control points · Dynamic scene reconstructionreconstruction performanceHurt
Use optical flow estimates with higher accuracy (ablation)H3D-DGS · Neu3DV3D reconstruction qualityHelped
Use H3D-DGS instead of the strongest PSNR baselineDynamic scene reconstruction · Neu3DV sear_steak, cook_spinach, cut_roasted_beef, flame_steakPSNR: 31.62 -> 33.72; 32.79 -> 33.20; 32.13 -> 33.23; 30.41 -> 33.18Helped
Use H3D-DGS instead of the strongest PSNR baselineDynamic scene reconstruction · Neu3DV flame_salmon_1 and coffee_martiniPSNR: 28.27 -> 28.00; 28.87 -> 26.90Hurt
Use H3D-DGS instead of Dynamic-GSDynamic scene reconstruction · CMU-Panoptic softball and boxesPSNR: 26.93 -> 27.48; 27.79 -> 27.88Helped
Use H3D-DGS instead of Dynamic-GSDynamic scene reconstruction · CMU-Panoptic basketballPSNR: 28.54 -> 27.72Hurt

Surprising findings

Limitations

Experimental setup

Datasets: Neu3DV CMU-Panoptic

Benchmarks: Neu3DV CMU-Panoptic

Metrics: PSNR SSIM LPIPS

Baselines: Dynamic-GS MA-GS 4D-GS SP-GS SC-GS

Builds on: 3D Gaussian Splatting Embedded Deformation graph Dynamic 3D Gaussians 4D Gaussian Splatting SC-GS

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