Deformation-based In-Context Learning for Point Cloud Understanding
Organizations: Shenzhen Institute for Advanced Study, UESTC · School of Computer Science and Engineering, UESTC · Sichuan University
Abstract
Recent advances in point cloud In-Context Learning (ICL) have demonstrated strong multitask capabilities. Existing approaches typically adopt a Masked Point Modeling (MPM)-based paradigm for point cloud ICL. However, MPM-based methods directly predict the target point cloud from masked tokens without leveraging geometric priors, requiring the model to infer spatial structure and geometric details solely from token-level correlations via transformers. Additionally, these methods suffer from a training-inference objective mismatch, as the model learns to predict the target point cloud using target-side information that is unavailable at inference time. To address these challenges, we propose DeformPIC, a deformation-based framework for point cloud ICL. Unlike existing approaches that rely on masked reconstruction, DeformPIC learns to deform the query point cloud under task-specific guidance from prompts, enabling explicit geometric reasoning and consistent objectives. Extensive experiments demonstrate that DeformPIC consistently outperforms previous state-of-the-art methods, achieving reductions of 1.6, 1.8, and 4.7 points in average Chamfer Distance on reconstruction, denoising, and registration tasks, respectively. Furthermore, we introduce a new out-of-domain benchmark to evaluate generalization across unseen data distributions, where DeformPIC achieves state-of-the-art performance.
Figures & tables
| Models | Venues | Part. | Reconstruction CD | Denoising CD | Registration CD | |||||||||||||||
| mIoU | L1 | L2 | L3 | L4 | L5 | Avg. | L1 | L2 | L3 | L4 | L5 | Avg. | L1 | L2 | L3 | L4 | L5 | Avg. | ||
| Task-Specific Models: trained separately for single task | ||||||||||||||||||||
| PointNet [ 32 ] | CVPR’17 | 77.5 | 3.7 | 3.7 | 3.8 | 3.9 | 4.1 | 3.9 | 4.1 | 4.0 | 4.1 | 4.0 | 4.2 | 4.1 | 5.3 | 5.9 | 6.9 | 7.7 | 8.5 | 6.9 |
| DGCNN [ 44 ] | TOG’19 | 76.1 | 3.9 | 3.9 | 4.0 | 4.1 | 4.3 | 4.0 | 4.7 | 4.5 | 4.6 | 4.5 | 4.7 | 4.6 | 6.2 | 6.7 | 7.3 | 7.4 | 7.7 | 7.1 |
| PCT [ 14 ] | CVM’21 | 79.5 | 2.4 | 2.4 | 2.5 | 2.6 | 3.0 | 2.6 | 2.3 | 2.2 | 2.2 | 2.2 | 2.3 | 2.2 | 5.3 | 5.7 | 6.3 | 6.9 | 7.2 | 6.3 |
| ACT [ 8 ] | ICLR’23 | 81.2 | 2.4 | 2.5 | 2.3 | 2.5 | 2.8 | 2.5 | 2.2 | 2.3 | 2.2 | 2.3 | 2.5 | 2.3 | 5.1 | 5.6 | 5.9 | 6.0 | 7.0 | 5.9 |
| Models | Rec. CD | Den. CD | Reg. CD | |||
|---|---|---|---|---|---|---|
| M. | S. | M. | S. | M. | S. | |
| Multitask Models | ||||||
| Point-MAE [ 30 ] | 5.0 | 5.3 | 8.1 | 9.6 | 38.2 | 26.1 |
| ReCon [ 33 ] | 5.7 | 5.8 | 9.5 | 10.9 | 37.9 | 41.9 |
| PCP-MAE [ 54 ] | 5.7 | 6.0 | 9.8 | 11.2 | 37.6 | 42.8 |
| UniPre3D [ 46 ] | 5.5 | 5.6 | 12.6 | 14.8 | 38.7 | 42.9 |
| Model | Consis. | DTN | DEN | Rec. | Den. | Reg. |
|---|---|---|---|---|---|---|
| PIC-Cat | ✗ | ✗ | ✗ | 4.3 | 5.3 | 14.1 |
| ✓ | ✗ | ✗ | 3.2 | 4.0 | 3.5 | |
| Ours | ✓ | ✓ | ✗ | 3.1 | 3.8 | 2.9 |
| ✓ | ✓ | ✓ | 2.7 | 3.5 | 2.0 |
Appendix figures & tables8 assets
Supplementary material from the paper’s appendix.
Appendix
| Models | Flops(G) | Param.(M) | Reconstruction CD | Denoising CD | Registration CD | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| L1 | L2 | L3 | L4 | L5 | Avg. | L1 | L2 | L3 | L4 | L5 | Avg. | L1 | L2 | L3 | L4 | L5 | Avg. | |||
| PIC-Cat [ 10 ] | 11.31 | 28.91 | 3.2 | 3.6 | 4.6 | 4.9 | 5.5 | 4.3 | 3.9 | 4.6 | 5.3 | 6.0 | 6.8 | 5.3 | 10.0 | 11.4 | 13.8 | 16.9 | 18.6 | 14.1 |
| PIC-Sep [ 10 ] | 8.14 | 28.91 | 4.7 | 4.3 | 4.3 | 4.4 | 5.7 | 4.7 | 6.3 | 7.2 | 7.9 | 8.2 | 8.6 | 7.6 | 8.6 | 9.2 | 10.2 | 11.3 | 12.4 | 10.3 |
| DeformPIC- 12d | 5.33 | 40.48 | 2.1 | 2.2 | 2.4 | 2.7 | 3.9 | 2.7 | 2.8 | 3.3 | 3.5 | 3.7 | 3.8 | 3.4 | 1.8 | 1.8 | 1.9 | 1.9 | 2.0 | 1.9 |
| DeformPIC- 8d | 4.87 | 29.84 | 2.2 | 2.3 | 2.5 | 2.8 | 3.9 | 2.7 | 2.8 | 3.3 | 3.6 | 3.8 | 3.9 | 3.5 | 1.9 | 1.9 | 1.9 | 2.0 | 2.1 | 2.0 |
| Models | Rec. | Den. | Reg. |
|---|---|---|---|
| F-score@ | F-score@ | F-score@ | |
| PIC-Cat [ 10 ] | 38.36 | 33.06 | 26.98 |
| PIC-Sep [ 10 ] | 42.78 | 32.86 | 41.57 |
| DeformPIC- 8d | 57.98 | 49.95 | 66.04 |
| Models | Rec. EMD | Den. EMD | Reg. EMD |
|---|---|---|---|
| PIC-Cat [ 10 ] | 56.30 | 52.89 | 75.14 |
| PIC-Sep [ 10 ] | 60.83 | 65.27 | 64.28 |
| DeformPIC- 8d | 37.01 | 47.32 | 24.05 |
| Encoding Strategies | Rec. CD | Den. CD | Reg.CD |
|---|---|---|---|
| Static ( Predict Task ID ) | 3.2 | 4.0 | 9.9 |
| Dynamic ( Predict Task Token ) | 2.7 | 3.5 | 2.0 |