Speaker: Prof. Markus Hadwiger
Abstract
Recent work in flow visualization has addressed the importance of the notion of a reference frame, or observer, for the detection and visualization of flow features such as vortices. In particular, a very powerful idea is to compute optimal observers for a given input flow field via optimization. In this talk, we will see that although individual research papers often formulate their respective optimization methods in different ways, much previous work can in fact be recast and completely unified in a single mathematical framework using the language of the calculus of variations, and Lagrangian and Hamiltonian mechanics. We will furthermore look at a concrete example of how such a variational approach can be used to derive a new method for detecting coherent vortices in 3D unsteady flow as spacetime 2-manifolds.
Bio
Markus Hadwiger is full professor of computer science at King Abdullah University of Science and Technology (KAUST) in Saudi Arabia, where he is leading the High-Performance Visualization research group since 2009. His main research interests are in the area of extreme-scale visual computing and scientific visualization, in particular volume visualization, flow visualization, medical and biological visualization, differential geometry and mathematical physics in visualization, image and volume processing, multi-resolution techniques, data streaming and out-of-core processing, interactive segmentation, and GPU algorithms and architecture. He is a co-author of the book Real-Time Volume Graphics published in 2006, and he has been teaching courses and tutorials at IEEE VIS, ACM SIGGRAPH, ACM SIGGRAPH Asia, and Eurographics, about volume rendering, visualization, GPUs, and Riemannian geometry for visualization.
