Speaker: Professor David Bommes, University of Bern

Friday April 5th, 11:00am, in BC 03
Title: Quadrilateral and Hexahedral Mesh Generation

Automatically generating quadrilateral and hexahedral meshes that smoothly align to freeform surfaces and offer a high amount of regularity and low distorted elements is a notoriously challenging task. Novel algorithms based on global optimization rely on the construction of integer-grid maps, which pull back a Cartesian grid of integer isolines from a 2D or 3D domain onto a structure aligned quadrilateral or hexahedral mesh. Such global optimization algorithms do not suffer from limitations known from local advancing front methods, as for instance a high rate of irregularity, and enable meshes comparable to manually designed ones by finding a good compromise between regularity and element distortion. The key for finding good solutions are 3D cross-fields that are employed to globally optimize the orientation and sizing of mesh elements. In my talk, I will give an overview of the state of the art and discuss the strengths and weaknesses of available algorithms, including open challenges for hexahedral meshing.

Since 2018 David Bommes is a full professor in the institute of computer science at University of Bern and head of the Computer Graphics Group. Before he has been a junior professor in the department of computer science at RWTH Aachen University (2014-2018), where he also received his PhD in 2012. Between 2012 and 2014 he has been a researcher in France at Inria Sophia Antipolis. His research interests include algorithms for geometry processing, (discrete) differential geometry and numerical optimization. David Bommes’ scientific contributions to computer graphics and geometry processing have been recognized by the EUROGRAPHICS Association with two prestigious prizes, the Best PhD Thesis Award in 2013 and the Young Researcher Award in 2016.