ODE-GS: Latent ODEs for Dynamic Scene Extrapolation with 3D Gaussian Splatting

Fuente: arXiv
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Main Authors: Wang, Daniel, Rim, Patrick, Tian, Tian, Lao, Dong, Wong, Alex, Sundaramoorthi, Ganesh
Format: Preprint
Published: 2025
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author Wang, Daniel
Rim, Patrick
Tian, Tian
Lao, Dong
Wong, Alex
Sundaramoorthi, Ganesh
author_facet Wang, Daniel
Rim, Patrick
Tian, Tian
Lao, Dong
Wong, Alex
Sundaramoorthi, Ganesh
contents We introduce ODE-GS, a novel approach that integrates 3D Gaussian Splatting with latent neural ordinary differential equations (ODEs) to enable future extrapolation of dynamic 3D scenes. Unlike existing dynamic scene reconstruction methods, which rely on time-conditioned deformation networks and are limited to interpolation within a fixed time window, ODE-GS eliminates timestamp dependency by modeling Gaussian parameter trajectories as continuous-time latent dynamics. Our approach first learns an interpolation model to generate accurate Gaussian trajectories within the observed window, then trains a Transformer encoder to aggregate past trajectories into a latent state evolved via a neural ODE. Finally, numerical integration produces smooth, physically plausible future Gaussian trajectories, enabling rendering at arbitrary future timestamps. On the D-NeRF, NVFi, and HyperNeRF benchmarks, ODE-GS achieves state-of-the-art extrapolation performance, improving metrics by 19.8% compared to leading baselines, demonstrating its ability to accurately represent and predict 3D scene dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2506_05480
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ODE-GS: Latent ODEs for Dynamic Scene Extrapolation with 3D Gaussian Splatting
Wang, Daniel
Rim, Patrick
Tian, Tian
Lao, Dong
Wong, Alex
Sundaramoorthi, Ganesh
Graphics
Computer Vision and Pattern Recognition
Machine Learning
We introduce ODE-GS, a novel approach that integrates 3D Gaussian Splatting with latent neural ordinary differential equations (ODEs) to enable future extrapolation of dynamic 3D scenes. Unlike existing dynamic scene reconstruction methods, which rely on time-conditioned deformation networks and are limited to interpolation within a fixed time window, ODE-GS eliminates timestamp dependency by modeling Gaussian parameter trajectories as continuous-time latent dynamics. Our approach first learns an interpolation model to generate accurate Gaussian trajectories within the observed window, then trains a Transformer encoder to aggregate past trajectories into a latent state evolved via a neural ODE. Finally, numerical integration produces smooth, physically plausible future Gaussian trajectories, enabling rendering at arbitrary future timestamps. On the D-NeRF, NVFi, and HyperNeRF benchmarks, ODE-GS achieves state-of-the-art extrapolation performance, improving metrics by 19.8% compared to leading baselines, demonstrating its ability to accurately represent and predict 3D scene dynamics.
title ODE-GS: Latent ODEs for Dynamic Scene Extrapolation with 3D Gaussian Splatting
topic Graphics
Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2506.05480