Invited SpeakersProfile Details

MATTHIEU DESBRUN
MATTHIEU DESBRUN Professor of Computing and Mathematical Sciences at Caltech University

Biography

​Mathieu Desbrun is the John W. and Herberta M. Miles Professor of Computing + Mathematical Sciences at the California Institute of Technology (Caltech). He regularly participates in a number of international program committees and editorial boards in computer graphics, including ACM SIGGRAPH and Eurographics. He now runs the Applied Geometry lab, focusing on discrete differential modeling, i.e., the development of differential, yet readily discretizable foundations for computational modeling. His research group has focused on a wide spectrum of applications, ranging from discrete geometry processing to solid and fluid mechanics and field theory, and discrete exterior calculus. Visit www.geometry.caltech.edu for more.

All sessions by MATTHIEU DESBRUN

  • Day 1Monday, April 10th
9:30 am

Keynote Lecture: The Power of Primal/Dual Meshes for Modeling and Animation

Triangle and tetrahedral meshes have found widespread acceptance in computer graphics as a simple, convenient, and versatile representation of surfaces and volumes. In particular, computing on such simplicial meshes is a workhorse in a variety of graphics applications. In this context, mesh duals (tied to Poincare duality and extending the well-known relationship between Delaunay triangulations and Voronoi diagrams) are often useful, from physical simulation of fluids to mesh parameterization. However, the precise embedding of a dual diagram with respect to its triangulation (i.e., the placement of dual vertices) has mostly remained a matter of taste or a numerical after-thought, and barycentric vs. circumcentric duals are often the only options chosen in practice. In this talk we discuss the notion of orthogonal dual diagrams, and show through a series of recent works that exploring the full space of orthogonal primal/dual meshes is not only powerful and numerically beneficial, but it also reveals (using tools from algebraic topology and computational geometry) discrete analogs to continuous properties. Applications varying from point sampling and fluid dynamics, to barycentric coordinates and self-supporting masonry will be covered.

KAUST 09:30 - 10:30 Details