网格划分技术作为有限元仿真中的核心一环，历来是工程师们头疼且费时较多的一个环节，目前主流商用软件都提供通用的网格划分功能。作为软件用户群体，我们很少去探究网格划分背后的算法问题，而且也无需去做过多的探索，不过今天小编将截取部分论文研究成果，为大家展示从底层计算机图形学方面提供的算法实践成果，这些成果涵盖了三角形、四边形、四面体、六面体，或是粒子群等离散形式，同时为大家推荐几个网格专用处理工具，感兴趣的可以作进一步的深入了解和研究，在此特别膜拜一下国内在计算机图形方面的大牛团队，浙大鲍虎军、山大陈宝权、MSRA团队以及国外亚琛工业大学Prof. Dr. Leif Kobbelt团队，相关图片均来自上述团队论文成果。所以从层级上讲，网格划分是有限元开展的基础工作，而这些底层图形学算法又是网格划分的基础，也就是基础中的基础，咱们是用户层，人家是软件开发层，还是人家更厉害，不得不服。

部分论文成果图

下面是一些看起来极度舒适的离散图片，对于强迫症患者而言更是有一种心灵上的解脱，一起观赏一下。

[1] Frame Field Generation through Metric Customization. Tengfei Jiang, Xianzhong Fang, Jin Huang, Hujun Bao, Yiying Tong, Mathieu Desbrun ACM Transaction on Graphics(TOG),(conditional accept),2015.

[2] Perceptually Guided Rendering of Texture Point-based Models. Lijun Qu, Xiaoru Yuan, Minh X. Nguyen, Gary Meyer and Baoquan Chen In Proceeding of the 3rd IEEE/Eurographics Symposium on Point-Based Graphics (PBG06), Pages 95-102. Boston, MA, USA. July 29-30, 2006.

[3] All-Hex Meshing using Closed-Form Induced Polycube. Xianzhong Fang, Weiwei Xu, Hujun Bao, Jin Huang，ACM Transactions on Graphics (TOG), 35(4), 2016.

[4] Integrating Mesh and Meshfree Methods for Physics-Based Fracture and Debris Cloud Simulation. Nan Zhang, Xiangmin Zhou, Desong Sha, Xiaoru Yuan, Kumar K. Tamma, and Baoquan Chen. In Proceeding of the 3rd IEEE/Eurographics Symposium on Point-Based Graphics (PBG06), Pages 145-154. Boston, MA, USA. July 29-30, 2006.

[5] A Convolutional Decoder for Point Clouds using Adaptive Instance Normalization. Isaak Lim, Moritz Ibing, Leif Kobbelt.Eurographics Symposium on Geometry Processing 2019.

[6] All-Hex Meshing using Singularity-Restricted Field. Yufei Li,Yang Liu,Weiwei Xu,Wenping Wang,Baining Guo. ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012.

[7] Structured Volume Decomposition via Generalized Sweeping.Gao X, Martin T, Deng S, Cohen E, Deng Z, Chen G.IEEE Trans Vis Comput Graph. 2016 Jul;22(7):1899-911. doi: 10.1109/TVCG.2015.2473835. Epub 2015 Aug 27.

[8] Surface Smoothing and Quality Improvement of Quadrilateral/Hexahedral Meshes with Geometric Flow. Zhang Y, Bajaj C, Xu G. Computational Visualization Center, Institute for Computational Engineering and Sciences, The University of Texas at Austin, USA. jessica@ices.utexas.edu.