In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy

Kaoji Xu

will defend his dissertation proposal

Hexahedral Mesh Generation, Processing, and Structure Analysis

Abstract

My research interest is in Geometric Modeling and Geometry Processing. Specifically, I develop efficient techniques for the generation (starting from either a manifold surface mesh or a volumetric mesh) and processing (simplification and optimization) of hexahedral meshes. A hexahedral mesh is a volumetric mesh consisting of hexahedral elements that are isomorphic to a cube with 8 vertices, 12 edges and 6 quadrilateral faces. Hexahedral meshes have a wide range of applications in engineering and medical practices, mostly due to its desired numerical properties (e.g., natural tensor embedding, large tolerance for anisotropy and less numerical stiffness), which usually result in faster and more accurate simulations for those applications. Despite numerous recent advances in this direction, there are still a number of challenges that need better solutions, including the understanding and measurement of the complexity of the hex-mesh structure, robust and automatic hex-mesh generation (with controllable structure) for any input models with arbitrary geometry and topology. My dissertation will be dedicated to address some of these challenges.

Date: Monday, April 16, 2018
Time: 3:00 PM
Place: PGH 550
Advisors: Dr. Guoning Chen

Faculty, students, and the general public are invited.