Conference Publications
Real-Time Creased Approximate Subdivision Surfaces, I3D 2009
Abstract: We present an extension of recently developed
Loop and Schaefer's approximation of Catmull-Clark surfaces (ACC) for
surfaces with creases and corners which are essential for most applications.
We discuss the integration of ACC into Valve's Source game engine
and analyze the performance of our implementation.
Posters
Anisotropic Harmonic Quadrangulation, SGP 2009
Abstract: We present a simple and efficient technique to add curvature-dependent anisotropy to harmonic parameterization and improve the approximation error of the quadrangulations. We use a metric derived from the shape operator which results in a more uniform error distribution, decreasing the error near features.
Theses
Inertial Manifolds, Master-Thesis VT 2005
Abstract: Nonlinear Galerkin methods utilize approximate inertial manifolds to reduce the spatial error of the standard Galerkin method. For certain scenarios, where a rough forcing term is used, a simple postprocessing step yields the same improvements that can be observed with nonlinear Galerkin. We show that this improvement is mainly due to the information about the forcing term that is neglected by standard Galerkin. Moreover, we construct a simple postprocessing scheme that uses only this neglected information but gives the same increase in accuracy as nonlinear or postprocessed Galerkin methods.