{"ID":2884960,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.04966","arxiv_id":"2508.04966","title":"Laplacian Analysis Meets Dynamics Modelling: Gaussian Splatting for 4D Reconstruction","abstract":"While 3D Gaussian Splatting (3DGS) excels in static scene modeling, its extension to dynamic scenes introduces significant challenges. Existing dynamic 3DGS methods suffer from either over-smoothing due to low-rank decomposition or feature collision from high-dimensional grid sampling. This is because of the inherent spectral conflicts between preserving motion details and maintaining deformation consistency at different frequency. To address these challenges, we propose a novel dynamic 3DGS framework with hybrid explicit-implicit functions. Our approach contains three key innovations: a spectral-aware Laplacian encoding architecture which merges Hash encoding and Laplacian-based module for flexible frequency motion control, an enhanced Gaussian dynamics attribute that compensates for photometric distortions caused by geometric deformation, and an adaptive Gaussian split strategy guided by KDTree-based primitive control to efficiently query and optimize dynamic areas. Through extensive experiments, our method demonstrates state-of-the-art performance in reconstructing complex dynamic scenes, achieving better reconstruction fidelity.","short_abstract":"While 3D Gaussian Splatting (3DGS) excels in static scene modeling, its extension to dynamic scenes introduces significant challenges. Existing dynamic 3DGS methods suffer from either over-smoothing due to low-rank decomposition or feature collision from high-dimensional grid sampling. This is because of the inherent s...","url_abs":"https://arxiv.org/abs/2508.04966","url_pdf":"https://arxiv.org/pdf/2508.04966v1","authors":"[\"Yifan Zhou\",\"Beizhen Zhao\",\"Pengcheng Wu\",\"Hao Wang\"]","published":"2025-08-07T01:39:29Z","proceeding":"cs.GR","tasks":"[\"cs.GR\",\"cs.CV\",\"cs.MM\"]","methods":"[]","has_code":false}