Journal of Computer Applications ›› 2026, Vol. 46 ›› Issue (7): 2267-2276.DOI: 10.11772/j.issn.1001-9081.2025060668
• Multimedia computing and computer simulation • Previous Articles
Xiangyi WU1, Hailiang YE1, Feilong CAO2(
)
Received:2025-06-16
Revised:2025-09-10
Accepted:2025-09-18
Online:2025-09-28
Published:2026-07-10
Contact:
Feilong CAO
About author:WU Xiangyi, born in 2000, M. S. candidate. Her research interests include deep learning, graph neural network, point cloud completion.Supported by:通讯作者:
曹飞龙
作者简介:武湘怡(2000—),女,黑龙江齐齐哈尔人,硕士研究生,主要研究方向:深度学习、图神经网络、点云补全基金资助:CLC Number:
Xiangyi WU, Hailiang YE, Feilong CAO. Point cloud completion method based on smooth-sharpen graph convolution[J]. Journal of Computer Applications, 2026, 46(7): 2267-2276.
武湘怡, 叶海良, 曹飞龙. 基于平滑-锐化图卷积的点云补全方法[J]. 《计算机应用》唯一官方网站, 2026, 46(7): 2267-2276.
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URL: https://www.joca.cn/EN/10.11772/j.issn.1001-9081.2025060668
| 降维维数 | CD-T/ | CD-P/ | F1-Score |
|---|---|---|---|
| 16 | |||
| 32 | 4.740 | 11.856 | 0.518 |
| 64 | 4.940 | 12.070 | 0.509 |
Tab. 1 Experimental results of hyperparameter for deconvolution dimensionality reduction on PCN dataset
| 降维维数 | CD-T/ | CD-P/ | F1-Score |
|---|---|---|---|
| 16 | |||
| 32 | 4.740 | 11.856 | 0.518 |
| 64 | 4.940 | 12.070 | 0.509 |
| r | CD-T/ | CD-P/ | F1-Score |
|---|---|---|---|
| 1 | 4.740 | 11.856 | 0.518 |
| 2 | 12.044 | 0.506 | |
| 4 | 4.940 |
Tab. 2 Experimental results of hyperparameter for splitting factor r on PCN dataset
| r | CD-T/ | CD-P/ | F1-Score |
|---|---|---|---|
| 1 | 4.740 | 11.856 | 0.518 |
| 2 | 12.044 | 0.506 | |
| 4 | 4.940 |
| 指标 | 方法 | PCN数据集 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 飞机 | 橱柜 | 汽车 | 椅子 | 灯 | 沙发 | 桌子 | 轮船 | 平均 | ||
| CD-T/ | ODGNet[ | 1.610 | 8.182 | 5.339 | 5.743 | 3.976 | 8.421 | 4.609 | 3.361 | 5.140 |
| CRA-PCN[ | 1.789 | 5.315 | 7.197 | 4.648 | 3.471 | |||||
| PointAttN[ | 1.981 | 8.522 | 6.330 | 4.842 | 8.569 | 5.163 | 3.842 | 5.570 | ||
| SeedFormer[ | 1.765 | 8.261 | 5.523 | 5.663 | 3.786 | 8.325 | 3.583 | 5.190 | ||
| SnowflakeNet[ | 1.909 | 8.550 | 5.567 | 6.347 | 4.683 | 8.622 | 5.167 | 3.858 | 5.590 | |
| PCN[ | 2.630 | 8.530 | 5.887 | 8.359 | 8.192 | 9.443 | 6.435 | 5.361 | 6.730 | |
| SDT[ | 2.171 | 8.747 | 5.433 | 7.598 | 5.776 | 9.460 | 6.087 | 4.407 | 6.210 | |
| 本文方法 | 7.746 | 5.160 | 5.138 | 3.582 | 4.154 | 4.740 | ||||
| CD-P/ | ODGNet[ | 13.149 | 9.561 | 15.590 | 11.547 | 10.263 | ||||
| CRA-PCN[ | 7.223 | 16.232 | 13.963 | 11.789 | 12.202 | |||||
| PointAttN[ | 7.408 | 16.668 | 14.033 | 13.973 | 10.745 | 16.226 | 12.479 | 10.944 | 12.810 | |
| SeedFormer[ | 7.152 | 16.306 | 14.181 | 13.206 | 9.620 | 15.886 | 11.809 | 10.510 | 12.334 | |
| SnowflakeNet[ | 7.450 | 16.673 | 14.300 | 13.980 | 10.716 | 16.255 | 12.280 | 10.978 | 12.829 | |
| PCN[ | 8.953 | 18.067 | 14.836 | 17.620 | 16.442 | 18.861 | 15.277 | 14.037 | 15.512 | |
| SDT[ | 7.937 | 17.276 | 14.356 | 15.211 | 12.001 | 17.428 | 13.425 | 11.632 | 13.659 | |
| 本文方法 | 6.735 | 15.945 | 13.583 | 12.698 | 9.312 | 15.046 | 10.560 | 11.856 | ||
| F1-Score | ODGNet[ | 0.707 | 0.508 | |||||||
| CRA-PCN[ | 0.830 | 0.279 | 0.325 | 0.442 | 0.315 | 0.491 | 0.598 | 0.499 | ||
| PointAttN[ | 0.820 | 0.264 | 0.322 | 0.403 | 0.641 | 0.292 | 0.450 | 0.574 | 0.471 | |
| SeedFormer[ | 0.836 | 0.275 | 0.323 | 0.445 | 0.700 | 0.310 | 0.485 | 0.602 | 0.497 | |
| SnowflakeNet[ | 0.816 | 0.270 | 0.314 | 0.408 | 0.645 | 0.296 | 0.469 | 0.566 | 0.473 | |
| PCN[ | 0.737 | 0.198 | 0.265 | 0.247 | 0.357 | 0.191 | 0.335 | 0.401 | 0.341 | |
| SDT[ | 0.788 | 0.235 | 0.289 | 0.355 | 0.583 | 0.245 | 0.402 | 0.527 | 0.428 | |
| 本文方法 | 0.864 | 0.292 | 0.346 | 0.460 | 0.717 | 0.332 | 0.629 | 0.518 | ||
| 指标 | 方法 | ShapeNet数据集 | ||||||||
| 床 | 长凳 | 滑板 | 书架 | 巴士 | 吉他 | 摩托车 | 手枪 | 平均 | ||
| CD-T/ | ODGNet[ | 21.032 | 10.540 | 4.985 | 2.838 | 5.724 | 7.760 | |||
| CRA-PCN[ | 20.935 | 6.587 | 5.334 | 10.185 | 4.816 | 1.968 | 6.146 | |||
| PointAttN[ | 26.968 | 7.105 | 5.134 | 12.387 | 5.574 | 2.985 | 6.461 | 9.349 | 9.500 | |
| SeedFormer[ | 19.630 | 6.852 | 4.387 | 5.734 | 3.345 | 4.930 | 9.178 | 8.070 | ||
| SnowflakeNet[ | 22.350 | 6.420 | 5.483 | 11.236 | 5.349 | 3.166 | 5.804 | 8.433 | 8.530 | |
| PCN[ | 31.322 | 8.647 | 7.007 | 14.946 | 6.353 | 6.914 | 9.466 | 11.529 | 12.020 | |
| SDT[ | 27.771 | 7.317 | 6.581 | 13.895 | 5.598 | 5.848 | 6.989 | 9.805 | 10.480 | |
| 本文方法 | 6.517 | 5.170 | 11.073 | 5.724 | 6.641 | 7.870 | ||||
| CD-P/ | ODGNet[ | 12.002 | 12.480 | 10.608 | ||||||
| CRA-PCN[ | 20.790 | 10.668 | 15.384 | 11.690 | 7.950 | 13.273 | ||||
| PointAttN[ | 22.319 | 12.452 | 10.629 | 16.653 | 11.889 | 8.211 | 13.253 | 12.736 | 13.518 | |
| SeedFormer[ | 19.660 | 12.171 | 9.830 | 15.437 | 12.032 | 8.144 | 11.816 | 11.499 | 12.574 | |
| SnowflakeNet[ | 20.816 | 12.051 | 10.886 | 15.849 | 11.750 | 8.307 | 13.012 | 12.482 | 13.145 | |
| PCN[ | 26.909 | 14.903 | 13.835 | 19.603 | 13.289 | 14.393 | 17.171 | 17.368 | 17.184 | |
| SDT[ | 23.522 | 12.586 | 12.458 | 16.981 | 12.587 | 12.085 | 13.530 | 14.248 | 14.751 | |
| 本文方法 | 20.172 | 11.914 | 10.380 | 15.724 | 11.524 | 7.035 | 12.417 | 10.863 | 12.504 | |
| F1-Score | ODGNet[ | 0.349 | 0.560 | 0.645 | 0.388 | 0.531 | 0.723 | 0.458 | 0.531 | |
| CRA-PCN[ | 0.349 | 0.624 | 0.382 | 0.770 | 0.591 | |||||
| PointAttN[ | 0.312 | 0.530 | 0.617 | 0.338 | 0.507 | 0.719 | 0.431 | 0.533 | 0.498 | |
| SeedFormer[ | 0.355 | 0.558 | 0.515 | 0.711 | 0.482 | 0.530 | ||||
| SnowflakeNet[ | 0.339 | 0.549 | 0.618 | 0.374 | 0.516 | 0.708 | 0.432 | 0.542 | 0.510 | |
| PCN[ | 0.168 | 0.401 | 0.460 | 0.244 | 0.417 | 0.416 | 0.277 | 0.323 | 0.338 | |
| SDT[ | 0.309 | 0.528 | 0.561 | 0.357 | 0.454 | 0.554 | 0.450 | 0.468 | 0.460 | |
| 本文方法 | 0.563 | 0.632 | 0.380 | 0.465 | 0.598 | 0.535 | ||||
Tab. 3 Comparison results of CD-T, CD-P, and F1-Score indicators on PCN and ShapeNet datasets
| 指标 | 方法 | PCN数据集 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 飞机 | 橱柜 | 汽车 | 椅子 | 灯 | 沙发 | 桌子 | 轮船 | 平均 | ||
| CD-T/ | ODGNet[ | 1.610 | 8.182 | 5.339 | 5.743 | 3.976 | 8.421 | 4.609 | 3.361 | 5.140 |
| CRA-PCN[ | 1.789 | 5.315 | 7.197 | 4.648 | 3.471 | |||||
| PointAttN[ | 1.981 | 8.522 | 6.330 | 4.842 | 8.569 | 5.163 | 3.842 | 5.570 | ||
| SeedFormer[ | 1.765 | 8.261 | 5.523 | 5.663 | 3.786 | 8.325 | 3.583 | 5.190 | ||
| SnowflakeNet[ | 1.909 | 8.550 | 5.567 | 6.347 | 4.683 | 8.622 | 5.167 | 3.858 | 5.590 | |
| PCN[ | 2.630 | 8.530 | 5.887 | 8.359 | 8.192 | 9.443 | 6.435 | 5.361 | 6.730 | |
| SDT[ | 2.171 | 8.747 | 5.433 | 7.598 | 5.776 | 9.460 | 6.087 | 4.407 | 6.210 | |
| 本文方法 | 7.746 | 5.160 | 5.138 | 3.582 | 4.154 | 4.740 | ||||
| CD-P/ | ODGNet[ | 13.149 | 9.561 | 15.590 | 11.547 | 10.263 | ||||
| CRA-PCN[ | 7.223 | 16.232 | 13.963 | 11.789 | 12.202 | |||||
| PointAttN[ | 7.408 | 16.668 | 14.033 | 13.973 | 10.745 | 16.226 | 12.479 | 10.944 | 12.810 | |
| SeedFormer[ | 7.152 | 16.306 | 14.181 | 13.206 | 9.620 | 15.886 | 11.809 | 10.510 | 12.334 | |
| SnowflakeNet[ | 7.450 | 16.673 | 14.300 | 13.980 | 10.716 | 16.255 | 12.280 | 10.978 | 12.829 | |
| PCN[ | 8.953 | 18.067 | 14.836 | 17.620 | 16.442 | 18.861 | 15.277 | 14.037 | 15.512 | |
| SDT[ | 7.937 | 17.276 | 14.356 | 15.211 | 12.001 | 17.428 | 13.425 | 11.632 | 13.659 | |
| 本文方法 | 6.735 | 15.945 | 13.583 | 12.698 | 9.312 | 15.046 | 10.560 | 11.856 | ||
| F1-Score | ODGNet[ | 0.707 | 0.508 | |||||||
| CRA-PCN[ | 0.830 | 0.279 | 0.325 | 0.442 | 0.315 | 0.491 | 0.598 | 0.499 | ||
| PointAttN[ | 0.820 | 0.264 | 0.322 | 0.403 | 0.641 | 0.292 | 0.450 | 0.574 | 0.471 | |
| SeedFormer[ | 0.836 | 0.275 | 0.323 | 0.445 | 0.700 | 0.310 | 0.485 | 0.602 | 0.497 | |
| SnowflakeNet[ | 0.816 | 0.270 | 0.314 | 0.408 | 0.645 | 0.296 | 0.469 | 0.566 | 0.473 | |
| PCN[ | 0.737 | 0.198 | 0.265 | 0.247 | 0.357 | 0.191 | 0.335 | 0.401 | 0.341 | |
| SDT[ | 0.788 | 0.235 | 0.289 | 0.355 | 0.583 | 0.245 | 0.402 | 0.527 | 0.428 | |
| 本文方法 | 0.864 | 0.292 | 0.346 | 0.460 | 0.717 | 0.332 | 0.629 | 0.518 | ||
| 指标 | 方法 | ShapeNet数据集 | ||||||||
| 床 | 长凳 | 滑板 | 书架 | 巴士 | 吉他 | 摩托车 | 手枪 | 平均 | ||
| CD-T/ | ODGNet[ | 21.032 | 10.540 | 4.985 | 2.838 | 5.724 | 7.760 | |||
| CRA-PCN[ | 20.935 | 6.587 | 5.334 | 10.185 | 4.816 | 1.968 | 6.146 | |||
| PointAttN[ | 26.968 | 7.105 | 5.134 | 12.387 | 5.574 | 2.985 | 6.461 | 9.349 | 9.500 | |
| SeedFormer[ | 19.630 | 6.852 | 4.387 | 5.734 | 3.345 | 4.930 | 9.178 | 8.070 | ||
| SnowflakeNet[ | 22.350 | 6.420 | 5.483 | 11.236 | 5.349 | 3.166 | 5.804 | 8.433 | 8.530 | |
| PCN[ | 31.322 | 8.647 | 7.007 | 14.946 | 6.353 | 6.914 | 9.466 | 11.529 | 12.020 | |
| SDT[ | 27.771 | 7.317 | 6.581 | 13.895 | 5.598 | 5.848 | 6.989 | 9.805 | 10.480 | |
| 本文方法 | 6.517 | 5.170 | 11.073 | 5.724 | 6.641 | 7.870 | ||||
| CD-P/ | ODGNet[ | 12.002 | 12.480 | 10.608 | ||||||
| CRA-PCN[ | 20.790 | 10.668 | 15.384 | 11.690 | 7.950 | 13.273 | ||||
| PointAttN[ | 22.319 | 12.452 | 10.629 | 16.653 | 11.889 | 8.211 | 13.253 | 12.736 | 13.518 | |
| SeedFormer[ | 19.660 | 12.171 | 9.830 | 15.437 | 12.032 | 8.144 | 11.816 | 11.499 | 12.574 | |
| SnowflakeNet[ | 20.816 | 12.051 | 10.886 | 15.849 | 11.750 | 8.307 | 13.012 | 12.482 | 13.145 | |
| PCN[ | 26.909 | 14.903 | 13.835 | 19.603 | 13.289 | 14.393 | 17.171 | 17.368 | 17.184 | |
| SDT[ | 23.522 | 12.586 | 12.458 | 16.981 | 12.587 | 12.085 | 13.530 | 14.248 | 14.751 | |
| 本文方法 | 20.172 | 11.914 | 10.380 | 15.724 | 11.524 | 7.035 | 12.417 | 10.863 | 12.504 | |
| F1-Score | ODGNet[ | 0.349 | 0.560 | 0.645 | 0.388 | 0.531 | 0.723 | 0.458 | 0.531 | |
| CRA-PCN[ | 0.349 | 0.624 | 0.382 | 0.770 | 0.591 | |||||
| PointAttN[ | 0.312 | 0.530 | 0.617 | 0.338 | 0.507 | 0.719 | 0.431 | 0.533 | 0.498 | |
| SeedFormer[ | 0.355 | 0.558 | 0.515 | 0.711 | 0.482 | 0.530 | ||||
| SnowflakeNet[ | 0.339 | 0.549 | 0.618 | 0.374 | 0.516 | 0.708 | 0.432 | 0.542 | 0.510 | |
| PCN[ | 0.168 | 0.401 | 0.460 | 0.244 | 0.417 | 0.416 | 0.277 | 0.323 | 0.338 | |
| SDT[ | 0.309 | 0.528 | 0.561 | 0.357 | 0.454 | 0.554 | 0.450 | 0.468 | 0.460 | |
| 本文方法 | 0.563 | 0.632 | 0.380 | 0.465 | 0.598 | 0.535 | ||||
| 方法 | CD-T/ | CD-P/ | F1-Score |
|---|---|---|---|
| 方法1 | 4.940 | 12.000 | 0.513 |
| 方法2 | 5.060 | 12.183 | 0.502 |
| 方法3 | 4.970 | 12.113 | 0.506 |
| 方法4 | 5.110 | 12.184 | 0.505 |
| 方法5 | 4.990 | 12.142 | 0.504 |
| 方法6 | |||
| 本文方法 | 4.740 | 11.856 | 0.518 |
Tab. 4 Results of ablation experiments
| 方法 | CD-T/ | CD-P/ | F1-Score |
|---|---|---|---|
| 方法1 | 4.940 | 12.000 | 0.513 |
| 方法2 | 5.060 | 12.183 | 0.502 |
| 方法3 | 4.970 | 12.113 | 0.506 |
| 方法4 | 5.110 | 12.184 | 0.505 |
| 方法5 | 4.990 | 12.142 | 0.504 |
| 方法6 | |||
| 本文方法 | 4.740 | 11.856 | 0.518 |
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