图学学报 ›› 2026, Vol. 47 ›› Issue (5): 1062-1071.DOI: 10.11996/JG.j.2095-302X.2026051062
收稿日期:2026-05-02
接受日期:2026-07-13
出版日期:2026-10-31
发布日期:2026-10-26
通讯作者:覃志松,E-mail:zsqin@guet.edu.cn基金资助:
LIN Ke, SONG Xiaohui, LONG Shiqin, QIN Zhisong(
)
Received:2026-05-02
Accepted:2026-07-13
Published:2026-10-31
Online:2026-10-26
Contact:
QIN Zhisong,E-mail:zsqin@guet.edu.cn
Supported by:摘要:
针对3D高斯泼溅(3DGS)在复杂场景新视角合成中存在弱纹理区域渲染模糊、浮空伪影丛生及模型存储大的问题,提出了一种联合空频监督与多视角一致性剪枝的优化方法。在几何上设计多视角一致性剪枝算法,即基于跨视角投影一致性算法计算高斯基元局部置信度,结合体素化邻域共识信息平滑几何空间,定期剔除冗余高斯;设计空域与频域联合监督方法:空域上设计空间自适应L1损失函数,构建特征提取器生成空间权重图,增强高误差区域的梯度贡献,采用能量守恒缩放因子控制训练量级;频域上设计基于双树复小波变换(DTCWT)的幅值正则化方法,利用近似平移不变性和多方向特性,在精细化训练阶段约束多尺度子带幅值差异,平稳调整先验引导高斯属性,解决相位约束导致的震荡和点数激增问题。在Mip-NeRF360等3个公开数据集的实验结果表明,相较于3DGS基准模型,本文方法在渲染质量与模型轻量化均取得有效提升:结构相似性(SSIM)最高由0.851提升至0.860,峰值信噪比(PSNR)最高由23.75 dB提升至24.17 dB,学习感知图像块相似度(LPIPS)最高由0.169降低至0.148;模型存储指标上,Deep Blending数据集上由628 MB降低至417 MB,压缩幅度约为33.6%。综合而言,本文的空频域联合监督与物理剪枝方法实现了高保真重建与紧凑存储。
中图分类号:
林科, 宋晓晖, 龙石钦, 覃志松. 联合空频监督与多视角一致性剪枝的高斯泼溅优化方法[J]. 图学学报, 2026, 47(5): 1062-1071.
LIN Ke, SONG Xiaohui, LONG Shiqin, QIN Zhisong. Gaussian splatting optimization via joint spatial-frequency supervision and multi-view consistency pruning[J]. Journal of Graphics, 2026, 47(5): 1062-1071.
图1 联合空频监督与多视角一致性剪枝的高斯泼溅优化方法整体框架
Fig. 1 Overall framework of Gaussian splatting optimization via joint spatial-frequency supervision and multi-view consistency pruning
| 方法 | Mip-NeRF360 | Tanks & Temples | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| SSIM↑ | PSNR↑ | LPIPS↓ | Mem. | FPS | SSIM↑ | PSNR↑ | LPIPS↓ | Mem. | FPS | |
| Instant-NGP | 0.751 | 26.75 | 0.298 | 0.745 | 21.92 | 0.305 | ||||
| Mip-NeRF360 | 0.842 | 29.07 | 0.207 | 0.759 | 22.22 | 0.257 | ||||
| 3DGS | 0.872 | 29.08 | 0.181 | 677 MB | 147 | 0.851 | 23.75 | 0.169 | 423 MB | 183 |
| Pixel-GS | 0.875 | 29.16 | 0.168 | 1.32 GB | 109 | 0.853 | 23.78 | 0.151 | 1.06 GB | 113 |
| Abs-GS | 0.876 | 29.08 | 0.167 | 719 MB | 176 | 0.851 | 23.67 | 0.162 | 307 MB | 245 |
| Scaffold-GS | 0.868 | 29.27 | 0.192 | 179 MB | 145 | 0.823 | 23.96 | 0.177 | 87 MB | 184 |
| Mini-Splatting2-D | 0.882 | 29.13 | 0.158 | 855 MB | 108 | 0.851 | 23.28 | 0.151 | 641 MB | 133 |
| Ours | 0.880 | 29.33 | 0.162 | 648 MB | 127 | 0.860 | 24.17 | 0.148 | 417 MB | 171 |
表1 Mip-NeRF360和Tanks&Temples数据集上的指标对比
Table 1 Comparison of metrics on Mip-NeRF360 and Tanks & Temples datasets
| 方法 | Mip-NeRF360 | Tanks & Temples | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| SSIM↑ | PSNR↑ | LPIPS↓ | Mem. | FPS | SSIM↑ | PSNR↑ | LPIPS↓ | Mem. | FPS | |
| Instant-NGP | 0.751 | 26.75 | 0.298 | 0.745 | 21.92 | 0.305 | ||||
| Mip-NeRF360 | 0.842 | 29.07 | 0.207 | 0.759 | 22.22 | 0.257 | ||||
| 3DGS | 0.872 | 29.08 | 0.181 | 677 MB | 147 | 0.851 | 23.75 | 0.169 | 423 MB | 183 |
| Pixel-GS | 0.875 | 29.16 | 0.168 | 1.32 GB | 109 | 0.853 | 23.78 | 0.151 | 1.06 GB | 113 |
| Abs-GS | 0.876 | 29.08 | 0.167 | 719 MB | 176 | 0.851 | 23.67 | 0.162 | 307 MB | 245 |
| Scaffold-GS | 0.868 | 29.27 | 0.192 | 179 MB | 145 | 0.823 | 23.96 | 0.177 | 87 MB | 184 |
| Mini-Splatting2-D | 0.882 | 29.13 | 0.158 | 855 MB | 108 | 0.851 | 23.28 | 0.151 | 641 MB | 133 |
| Ours | 0.880 | 29.33 | 0.162 | 648 MB | 127 | 0.860 | 24.17 | 0.148 | 417 MB | 171 |
| 方法 | Deep Blending | ||||
|---|---|---|---|---|---|
| SSIM↑ | PSNR↑ | LPIPS↓ | Mem. | FPS | |
| Instant-NGP | 0.817 | 24.96 | 0.390 | ||
| Mip-NeRF360 | 0.901 | 29.40 | 0.245 | ||
| 3DGS | 0.906 | 29.82 | 0.238 | 628MB | 152 |
| Pixel-GS | 0.892 | 28.91 | 0.250 | 1.09GB | 112 |
| Abs-GS | 0.905 | 29.71 | 0.243 | 440MB | 231 |
| Scaffold-GS | 0.906 | 30.21 | 0.254 | 66MB | 189 |
| Mini-Splatting2-D | 0.908 | 29.74 | 0.223 | 979MB | 149 |
| Ours | 0.909 | 29.87 | 0.229 | 417MB | 166 |
表2 Deep Blending数据集上的指标对比
Table 2 Comparison of indicators on the Deep Blending dataset
| 方法 | Deep Blending | ||||
|---|---|---|---|---|---|
| SSIM↑ | PSNR↑ | LPIPS↓ | Mem. | FPS | |
| Instant-NGP | 0.817 | 24.96 | 0.390 | ||
| Mip-NeRF360 | 0.901 | 29.40 | 0.245 | ||
| 3DGS | 0.906 | 29.82 | 0.238 | 628MB | 152 |
| Pixel-GS | 0.892 | 28.91 | 0.250 | 1.09GB | 112 |
| Abs-GS | 0.905 | 29.71 | 0.243 | 440MB | 231 |
| Scaffold-GS | 0.906 | 30.21 | 0.254 | 66MB | 189 |
| Mini-Splatting2-D | 0.908 | 29.74 | 0.223 | 979MB | 149 |
| Ours | 0.909 | 29.87 | 0.229 | 417MB | 166 |
| 场景 | SSIM↑ | PSNR↑ | LPIPS↓ | Memory/MB | ||||
|---|---|---|---|---|---|---|---|---|
| 3DGS | Ours | 3DGS | Ours | 3DGS | Ours | 3DGS | Ours | |
| Bicycle | 0.765 | 0.788 | 25.23 | 25.48 | 0.207 | 0.173 | 1 252 | 1 169 |
| Garden | 0.868 | 0.873 | 27.51 | 27.65 | 0.105 | 0.095 | 1 116 | 935 |
| Stump | 0.771 | 0.791 | 26.65 | 26.97 | 0.215 | 0.196 | 1 062 | 960 |
| Truck | 0.884 | 0.894 | 25.44 | 25.96 | 0.141 | 0.110 | 577 | 502 |
| Train | 0.818 | 0.827 | 22.07 | 22.39 | 0.198 | 0.185 | 270 | 332 |
| Bonsai | 0.943 | 0.945 | 32.39 | 32.64 | 0.202 | 0.170 | 279 | 337 |
| Room | 0.919 | 0.924 | 31.44 | 31.72 | 0.217 | 0.196 | 340 | 416 |
| Kitchen | 0.927 | 0.929 | 31.22 | 31.61 | 0.125 | 0.117 | 429 | 424 |
| Counter | 0.909 | 0.909 | 29.13 | 29.23 | 0.197 | 0.189 | 286 | 298 |
| Drjohnson | 0.905 | 0.907 | 29.42 | 29.53 | 0.235 | 0.229 | 799 | 502 |
| Playroom | 0.909 | 0.911 | 30.22 | 30.23 | 0.240 | 0.228 | 457 | 332 |
表3 逐场景的渲染指标比较
Table 3 Comparison of rendering metrics across different scenes
| 场景 | SSIM↑ | PSNR↑ | LPIPS↓ | Memory/MB | ||||
|---|---|---|---|---|---|---|---|---|
| 3DGS | Ours | 3DGS | Ours | 3DGS | Ours | 3DGS | Ours | |
| Bicycle | 0.765 | 0.788 | 25.23 | 25.48 | 0.207 | 0.173 | 1 252 | 1 169 |
| Garden | 0.868 | 0.873 | 27.51 | 27.65 | 0.105 | 0.095 | 1 116 | 935 |
| Stump | 0.771 | 0.791 | 26.65 | 26.97 | 0.215 | 0.196 | 1 062 | 960 |
| Truck | 0.884 | 0.894 | 25.44 | 25.96 | 0.141 | 0.110 | 577 | 502 |
| Train | 0.818 | 0.827 | 22.07 | 22.39 | 0.198 | 0.185 | 270 | 332 |
| Bonsai | 0.943 | 0.945 | 32.39 | 32.64 | 0.202 | 0.170 | 279 | 337 |
| Room | 0.919 | 0.924 | 31.44 | 31.72 | 0.217 | 0.196 | 340 | 416 |
| Kitchen | 0.927 | 0.929 | 31.22 | 31.61 | 0.125 | 0.117 | 429 | 424 |
| Counter | 0.909 | 0.909 | 29.13 | 29.23 | 0.197 | 0.189 | 286 | 298 |
| Drjohnson | 0.905 | 0.907 | 29.42 | 29.53 | 0.235 | 0.229 | 799 | 502 |
| Playroom | 0.909 | 0.911 | 30.22 | 30.23 | 0.240 | 0.228 | 457 | 332 |
| 3DGS | SA-L1 | DTCWT | Abs | 一致性剪枝 | SSIM↑ | PSNR↑ | LPIPS↓ | Time/min | Mem./MB | FPS |
|---|---|---|---|---|---|---|---|---|---|---|
| √ | 0.884 | 25.44 | 0.141 | 15.8 | 577 | 166 | ||||
| √ | √ | 0.885 | 25.68 | 0.140 | 16.3 | 619 | 162 | |||
| √ | √ | √ | 0.885 | 25.65 | 0.129 | 16.5 | 617 | 161 | ||
| √ | √ | √ | √ | 0.892 | 25.54 | 0.111 | 20.9 | 718 | 135 | |
| √ | √ | √ | √ | √ | 0.894 | 25.96 | 0.110 | 17.2 | 502 | 172 |
表4 消融实验表
Table 4 Ablation Experiment Table
| 3DGS | SA-L1 | DTCWT | Abs | 一致性剪枝 | SSIM↑ | PSNR↑ | LPIPS↓ | Time/min | Mem./MB | FPS |
|---|---|---|---|---|---|---|---|---|---|---|
| √ | 0.884 | 25.44 | 0.141 | 15.8 | 577 | 166 | ||||
| √ | √ | 0.885 | 25.68 | 0.140 | 16.3 | 619 | 162 | |||
| √ | √ | √ | 0.885 | 25.65 | 0.129 | 16.5 | 617 | 161 | ||
| √ | √ | √ | √ | 0.892 | 25.54 | 0.111 | 20.9 | 718 | 135 | |
| √ | √ | √ | √ | √ | 0.894 | 25.96 | 0.110 | 17.2 | 502 | 172 |
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