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GaussianSpa: An "Optimizing-Sparsifying" Simplification Framework for Compact and High-Quality 3D Gaussian Splatting

CVPR 2025 · 3D vision › Gaussian splatting · approach: Compact and efficient Gaussian splatting · 15 citations (OpenAlex)

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Proposes GaussianSpa, which casts 3DGS simplification as an ℓ0-constrained optimization solved during training by alternating gradient "optimizing" steps and closed-form top-κ "sparsifying" projections, yielding compact high-quality splats.

Problem

3D Gaussian Splatting requires large memory to store many Gaussians; existing simplification methods prune via hand-crafted criteria or masks in a one-shot manner, causing irreversible quality loss.

Approach

Reformulate 3DGS training with an ℓ0 constraint on Gaussian opacities and solve it with an ADMM-style split into a gradient-based "optimizing" step and an analytic top-κ projection "sparsifying" step, gradually sparsifying Gaussians during training rather than removing them at once.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply optimizing-sparsifying simplification3DGS · Mip-NeRF 360PSNR: 27.45 -> 27.85Helped
Apply optimizing-sparsifying simplification3DGS · Tanks&TemplesPSNR: 23.63 -> 23.98Helped
Apply optimizing-sparsifying simplification3DGS · Deep BlendingPSNR: 29.42 -> 30.33Helped
Use GaussianSpa instead of Mini-Splatting3DGS simplification · Deep BlendingPSNR: 30.05 -> 30.33Helped
Use GaussianSpa instead of Taming 3DGS3DGS simplification · Tanks&TemplesPSNR: 23.95 -> 23.98No clear effect
Use GaussianSpa instead of LP-3DGS-R3DGS simplification · Mip-NeRF 360PSNR: 27.47 -> 27.85Helped

Surprising findings

Limitations

Experimental setup

Datasets: Mip-NeRF 360 Tanks&Temples Deep Blending

Benchmarks: Mip-NeRF 360 Tanks&Temples Deep Blending

Metrics: PSNR SSIM LPIPS number of Gaussians

Baselines: 3DGS CompactGaussian LP-3DGS EAGLES Mini-Splatting Taming 3DGS CompGS LightGaussian

Builds on: 3D Gaussian Splatting Mini-Splatting ADMM LightGaussian

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