Frequency-Aware Gaussian Splatting Decomposition

Accepted to the International Conference on 3D Vision (3DV), 2026
Yishai Lavi, Leo Segre, Shai Avidan
Tel Aviv University, 2025
Teaser Figure

Abstract

3D Gaussian Splatting (3D-GS) enables efficient novel view synthesis, but treats all frequencies uniformly, making it difficult to separate coarse structure from fine detail. Recent works have started to exploit frequency signals, but lack explicit frequency decomposition of the 3D representation itself. We propose a frequency-aware decomposition that organizes 3D Gaussians into groups corresponding to Laplacian-pyramid subbands of the input images. Each group is trained with spatial frequency regularization to confine it to its target frequency, while higher-frequency bands use signed residual colors to capture fine details that may be missed by lower-frequency reconstructions. A progressive coarse-to-fine training schedule stabilizes the decomposition. Our method achieves state-of-the-art reconstruction quality and rendering speed among all LOD-capable methods. In addition to improved interpretability, our method enables dynamic level-of-detail rendering, progressive streaming, foveated rendering, promptable 3D focus, and artistic filtering.

Level of Detail

Our frequency-aware decomposition enables progressive Level of Detail (LOD) rendering, where low-frequency Gaussians capture coarse geometry and appearance, and higher levels progressively refine the image with finer details.

Kitchen scene - Level Of Detail
L1
L1 + L2
L1 + L2 + L3
Garden scene - Level Of Detail
L1
L1 + L2
L1 + L2 + L3

Laplacian Levels

By grouping Gaussians according to Laplacian pyramid subbands, we isolate and visualize distinct frequency components of a scene, revealing how each level contributes to the final image structure.

Kitchen scene - Laplacian Levels
L1
L2
L3
Garden scene - Laplacian Levels
L1
L2
L3

Foveated Rendering

Our model supports real-time foveated rendering by concentrating high-frequency details in the user’s gaze region, reducing rendering cost in the periphery without compromising perceptual quality.

Foveated Rendering

3D Editing

Frequency-aware decomposition allows selective object editing based on text prompts by preserving only relevant high-frequency Gaussians, enabling multi-view-consistent object highlighting or suppression.

Kitchen scene - 3D Editing
Desk Mat
Lego
Garden scene - 3D Editing
Wooden Table
Dried palm leaf arrangement in a round vase

Artistic Filters

Manipulating frequency-specific Gaussian groups enables stylized effects such as X-ray or painterly rendering, while preserving 3D consistency and coherence across viewpoints.

Kitchen scene - Artistic Filters (Xray Effect)
Garden scene - Artistic Filters (Brush Effect)

Fast Geometry Interaction

Operating on only the low-frequency Gaussians enables faster geometric queries and interactions, such as collision detection or spatial search, while maintaining structural fidelity.

Fast Geometry Interaction

Citation

@misc{lavi2025frequencyawaregaussiansplattingdecomposition, title={Frequency-Aware Gaussian Splatting Decomposition}, author={Yishai Lavi and Leo Segre and Shai Avidan}, year={2025}, eprint={2503.21226}, archivePrefix={arXiv}, primaryClass={cs.CV}, url={https://arxiv.org/abs/2503.21226}, }