Journal of Graphics ›› 2025, Vol. 46 ›› Issue (5): 990-997.DOI: 10.11996/JG.j.2095-302X.2025050990
• Image Processing and Computer Vision • Previous Articles Next Articles
ZHANG Haoxuan1,2,3(), LI Haisheng1,2,3(
), WANG Min1,2,3, LI Nan1,2,3
Received:
2024-11-12
Accepted:
2024-12-31
Online:
2025-10-30
Published:
2025-09-10
Contact:
LI Haisheng
About author:
First author contact:ZHANG Haoxuan (2000-), master student. His main research interests cover mesh generation and digital geometry processing. E-mail:zhxggg613@126.com
Supported by:
CLC Number:
ZHANG Haoxuan, LI Haisheng, WANG Min, LI Nan. Universal mesh generation method based on physics-informed neural network[J]. Journal of Graphics, 2025, 46(5): 990-997.
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Fig. 2 Results of different structured mesh generation methods on model3 ((a) TFI; (b) MGNet+hyperbola equation; (c) MGNet+poisson equation; (d) UMGPINN)
Fig. 4 Results of different structured mesh generation methods on model5 ((a) TFI; (b) MGNet+hyperbola equation; (c) MGNet+poisson equation; (d) UMGPINN)
模型 | TFI | MGNet[ | MGNet[ | Ours |
---|---|---|---|---|
模型1 | 83.66/96.40 | 85.58/94.42 | 84.84/95.18 | 85.75/94.21 |
模型2 | 83.82/96.20 | 84.63/96.37 | 85.09/95.89 | 85.40/96.42 |
模型3 | 65.08/114.70 | 69.00/110.82 | 65.74/114.31 | 70.11/109.54 |
模型4 | - | 79.78/100.53 | 78.86/101.54 | 75.13/105.40 |
模型5 | 82.94/97.10 | 83.17/96.91 | 81.79/98.27 | 83.32/96.77 |
模型6 | 84.14/95.86 | 86.75/93.25 | 85.31/94.66 | 87.91/92.09 |
Table 1 A comparison of average min/max included angle for different models of structured meshes/(°)
模型 | TFI | MGNet[ | MGNet[ | Ours |
---|---|---|---|---|
模型1 | 83.66/96.40 | 85.58/94.42 | 84.84/95.18 | 85.75/94.21 |
模型2 | 83.82/96.20 | 84.63/96.37 | 85.09/95.89 | 85.40/96.42 |
模型3 | 65.08/114.70 | 69.00/110.82 | 65.74/114.31 | 70.11/109.54 |
模型4 | - | 79.78/100.53 | 78.86/101.54 | 75.13/105.40 |
模型5 | 82.94/97.10 | 83.17/96.91 | 81.79/98.27 | 83.32/96.77 |
模型6 | 84.14/95.86 | 86.75/93.25 | 85.31/94.66 | 87.91/92.09 |
模型 | TFI | MGNet[ 泊松方程 | MGNet[ 双曲线方程 | Ours |
---|---|---|---|---|
模型1 | 0.011 | 0.004 | 0.005 | 0.001 |
模型2 | 0.082 | 0.005 | 0.005 | 0.001 |
模型3 | 0.015 | 0.003 | 0.003 | 0.003 |
模型4 | - | 0.003 | 0.004 | 0.003 |
模型5 | 0.082 | 0.005 | 0.004 | 0.001 |
模型6 | 0.017 | 0.003 | 0.005 | 0.001 |
Table 2 A comparison of mesh generation time for different models of structured meshes/s
模型 | TFI | MGNet[ 泊松方程 | MGNet[ 双曲线方程 | Ours |
---|---|---|---|---|
模型1 | 0.011 | 0.004 | 0.005 | 0.001 |
模型2 | 0.082 | 0.005 | 0.005 | 0.001 |
模型3 | 0.015 | 0.003 | 0.003 | 0.003 |
模型4 | - | 0.003 | 0.004 | 0.003 |
模型5 | 0.082 | 0.005 | 0.004 | 0.001 |
模型6 | 0.017 | 0.003 | 0.005 | 0.001 |
模型 | Delaunay | Ours |
---|---|---|
模型1 | 46.26/77.72 | 36.22/86.63 |
模型2 | 46.13/77.78 | 42.19/79.94 |
模型3 | 46.36/77.53 | 52.23/68.84 |
模型4 | 46.7/77.16 | 52.98/67.78 |
模型5 | 46.50/77.44 | 52.54/68.62 |
模型6 | 46.70/77.18 | 48.02/74.34 |
Table 3 A comparison of average min/max included angle for different models of unstructured meshes/(°)
模型 | Delaunay | Ours |
---|---|---|
模型1 | 46.26/77.72 | 36.22/86.63 |
模型2 | 46.13/77.78 | 42.19/79.94 |
模型3 | 46.36/77.53 | 52.23/68.84 |
模型4 | 46.7/77.16 | 52.98/67.78 |
模型5 | 46.50/77.44 | 52.54/68.62 |
模型6 | 46.70/77.18 | 48.02/74.34 |
模型 | Delaunay | Ours |
---|---|---|
模型1 | 1.359 | 1.722 |
模型2 | 1.362 | 1.482 |
模型3 | 1.356 | 1.185 |
模型4 | 1.346 | 1.164 |
模型5 | 1.352 | 1.176 |
模型6 | 1.346 | 1.321 |
Table 4 A comparison of average aspect ratio for different models of unstructured meshes
模型 | Delaunay | Ours |
---|---|---|
模型1 | 1.359 | 1.722 |
模型2 | 1.362 | 1.482 |
模型3 | 1.356 | 1.185 |
模型4 | 1.346 | 1.164 |
模型5 | 1.352 | 1.176 |
模型6 | 1.346 | 1.321 |
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