Broad Area Colloquium For AI-Geometry-Graphics-Robotics-Vision
(CS 528)

A Variational Approach to Digital Geometry:
from Isotropic Smoothing to Thin-shell Simulation

Mathieu Desbrun
University of Southern California
Monday, Oct. 13, 2003, 4:15PM
TCSeq 200


Discrete geometry is a central and challenging issue from the modeling and computational perspective in several sciences, including computer graphics. In this talk, we will explain how our initial variational approach to surface smoothing has led us to investigate a discrete theory of differential forms and vector fields on piecewise linear n-manifolds. We will show how some recent theoretical developments can be directly used in important applications such as intrinsic parameterization, isotropic and anisotropic smoothing and remeshing, generalized barycentric coordinates, as well as thin-shell simulation.

About the Speaker

Mathieu Desbrun is an Assistant Professor of Computer Science at the University of Southern California, and a Visiting Associate at Caltech. His research interests revolve around geometry, and particularly, the study of discrete geometry. This vast area includes animation and simulation of 3D objects, processing of polygonal meshes (compression, curvature analysis, remeshing, etc), haptics, as well as more theoretical work on the foundation of computations on discrete manifolds (Discrete Exterior Calculus). Mathieu received the NSF Young Investigator Award in 2001 and the SIGGRAPH Significant New Researcher Award in 2003.


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