Geometry Processing II

Wednesday, 8 August
10:30 am - 12:15 pm
Room 6CF
Session Chair/Discussant: Nina Amenta, University of California, Davis


A symmetrization algorithm for geometric objects that enhances approximate symmetries of a model while minimally altering its shape. The algorithm successfully symmetrizes complex 2D and 3D shapes.

Niloy Mitra
Technische Universität Wien

Leonidas Guibas
Stanford University

Mark Pauly
ETH Zürich

Geometric Modeling in Shape Space

This paper introduces a Riemannian space of shape and presents algorithms to geodesically interpolate and extrapolate shapes. More specific applications include shape exploration, isometric shape modeling, shape morphing, and deformation transfer.

Martin Kilian
Niloy Mitra
Helmut Pottmann
Technische Universität Wien

Geometry of Multilayer Freeform Structures for Architecture

Solutions for several fundamental geometric problems in architectural design of freeform structures by optimization procedures based on a theory of parallel meshes, offset meshes, and discrete curvatures.

Helmut Pottmann
Yang Liu
Technische Universität Wien

Johannes Wallner
Technische Universität Graz

Alexander Bobenko
Technische Universität Berlin

Wenping Wang
University of Hong Kong

A Variational Approach to Eulerian Geometry Processing

A density-based Eulerian framework for geometry processing of foliations. This paper demonstrates applications varying from variational surface processing to volumetric medical data smoothing and mass-preserving fluid simulation.

Patrick Mullen
Alexander McKenzie
Yiying Tong
Mathieu Desbrun
California Institute of Technology