Speaker

   Associate Prof. Yongjie (Jessica) Zhang, Department of Mechanical Engineering, Carnegie Mellon University

　　Title

  Image-Based Mesh Generation and Volumetric T-spline Construction 

　　Time

　　2013.4.28 3:00pm              

　　Venue

　　Z311 

　　Abstract

With finite element method (FEM) and scanning technology seeing increased use in active research areas such as biomechanics, there is an emerging need for high-fidelity geometric modeling and quality mesh generation of the spatially realistic domains. In this talk, I will highlight our research in this area along with details of meshing pipelines, especially octree-based algorithms to extract adaptive and quality 2D (triangular or quadrilateral) and 3D (tetrahedral or hexahedral) meshes of volumetric domains. Automatic mesh generation and robust quality improvement for complex domains with non-manifold boundaries, sharp feature preservation in all-hexahedral meshing for CAD assemblies, and guaranteed-quality mesh generation will be discussed.

In the second part of this talk, I will show our latest research on volumetric T-spline construction from boundary representations. For arbitrary topology objects, we first compute a smooth harmonic scalar field and saddle points are extracted to determine the topology. By dealing with the saddle points, a polycube whose topology is equivalent to the input geometry is built and it serves as the parametric domain for the trivariate T-spline. A polycube mapping is then used to build a one-to-one correspondence between the input surface and the polycube boundary. After that, we choose the deformed octree subdivision of the polycube as the initial T-mesh, and make it valid through pillowing, quality improvement and applying templates to handle extraordinary nodes. The obtained T-spline is C2-continuous everywhere over the surface except for the local region surrounding polycube corner nodes.

　　Affiliation

Yongjie (Jessica) Zhang is an Associate Professor in Mechanical Engineering at Carnegie Mellon University with a courtesy appointment in Biomedical Engineering. She received her B.Eng. in Automotive Engineering, and M.Eng. in Engineering Mechanics, all from Tsinghua University, China, and M.Eng. in Aerospace Engineering and Engineering Mechanics, and Ph.D. in Computational Engineering and Sciences from the University of Texas at Austin. Her research interests include computational geometry, mesh generation, computer graphics, visualization, finite element method, isogeometric analysis and their application in computational biomedicine and engineering. She has co-authored over 90 publications in peer-reviewed international journals and conference proceedings. She is the recipient of NSF CAREER Award, Office of Naval Research Young Investigator Award, George Tallman Ladd Research Award, and Struminger Junior Faculty Fellowship.

Email: jessicaz@andrew.cmu.edu

Homepage: http://www.andrew.cmu.edu/~jessicaz