【海韵讲座】2017年第35期-3D Adaptive Meshing and Its Applications
Title: 3D Adaptive Meshing and Its Applications
Nowadays, adaptive meshes, especially the anisotropic meshes are important for improving the accuracy of the numerical simulations as well as better approximating the shapes of 3D objects. They are designed as elongated mesh elements with desired orientation and aspect ratio given by a user-specified metric. The motivation of this work is to introduce a novel particle-based approach for anisotropic surface meshing. The main idea is mapping the anisotropic space into a higher dimensional Euclidean space, called “embedding space”, based on the Nash’s embedding theorem. This method outperforms other existing anisotropic mesh generation algorithms, in both mesh quality and computational speed. Besides the high-dimensional strategy, the conformal embedding in lower dimension method is proposed to solve anisotropic surface meshing. The particle-based method is further investigated to compute the high-quality tetrahedral volume meshes with gradient-based shape matching scheme. Due to the high performance of the proposed meshing method, it has been applied in the medical imaging research work, which helps the efficiency and accuracy of 3D/4D image reconstruction in radiation therapy, such as in lung cancer treatment. Finally, some other related works will be introduced.
Dr. Zichun Zhong is currently an Assistant Professor and director of Computer Modeling and Imaging Visualization Lab of Computer Science at Wayne State University since August 2015. He was a postdoctoral fellow in Department of Radiation Oncology at UT Southwestern Medical Center at Dallas from August 2014 to August 2015. He received his Ph.D. degree in Computer Science at The University of Texas at Dallas in summer 2014. Before that, he received his B.S. degree in Computer Science and Technology (Software Engineering) and M.S. degree in Computer Science in The University of Electronic Science and Technology of China in 2006 and 2009, respectively. His research interests mainly focus on Computer Graphics, Geometric Modeling (specifically Surface and Volume Mesh Generations), Medical Imaging Processing (specifically Deformable Image Registration, 3D/4D Image Reconstruction), Computer Animation, Visualization, and GPU Algorithms. His publications are mainly in top conferences and journals in the above research fields, such as SIGGRAPH, TOG, VIS, TVCG, GMP, CAGD, GM, SPM, CAD, PG, CGF, MICCAI, PMB, FULL3D, etc. His webpage is at: http://www.cs.wayne.edu/zzhong/.