DWTGS: Rethinking Frequency Regularization for Sparse-view 3D Gaussian Splatting
Hung Nguyen, Runfa Li, An Le, Truong Nguyen

TL;DR
DWTGS introduces a wavelet-based frequency regularization framework for sparse-view 3D Gaussian Splatting, improving view synthesis quality by better handling high-frequency details and reducing overfitting.
Contribution
It rethinks frequency regularization by using wavelet-space losses, focusing on low-frequency supervision and sparse high-frequency enforcement, outperforming Fourier-based methods.
Findings
DWTGS outperforms Fourier-based regularization methods across benchmarks.
Wavelet-space losses improve generalization and reduce high-frequency hallucinations.
LF-centric strategy enhances the quality of 3D Gaussian Splatting reconstructions.
Abstract
Sparse-view 3D Gaussian Splatting (3DGS) presents significant challenges in reconstructing high-quality novel views, as it often overfits to the widely-varying high-frequency (HF) details of the sparse training views. While frequency regularization can be a promising approach, its typical reliance on Fourier transforms causes difficult parameter tuning and biases towards detrimental HF learning. We propose DWTGS, a framework that rethinks frequency regularization by leveraging wavelet-space losses that provide additional spatial supervision. Specifically, we supervise only the low-frequency (LF) LL subbands at multiple DWT levels, while enforcing sparsity on the HF HH subband in a self-supervised manner. Experiments across benchmarks show that DWTGS consistently outperforms Fourier-based counterparts, as this LF-centric strategy improves generalization and reduces HF hallucinations.
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