Symmetry Detection and Symmetrization


August 24, 2007


Mark Pauly


ETH Zurich, Switzerland


In the first part of the talk, I will first give a brief overview of recent research in my group on 3D shape analysis, modeling, and animation. The second part will be devoted to symmetry. I will discuss our work on finding and enhancing partial and approximate symmetries in 2D and 3D geometry using a suitable symmetry transformation space. In this space, symmetry detection can be formulated as a clustering operation. Symmetrization, a method for enhancing symmetries in geometric models, is implemented as an optimization process that couples the spatial domain and the symmetry transformation space to drive a constrained deformation model that pulls the shape towards symmetry. I will derive these methods step-by- step on simple 2D examples and show various applications where symmetry can be utilized such as complexity reduction, structure analysis, and correspondence computation.


Mark Pauly

Mark Pauly is an assistant professor at the computer science department of ETH Zurich, Switzerland. From August 2003 to March 2005 he was a postdoctoral scholar at Stanford University, where he also held a position as visiting assistant professor during the summer of 2005. He received his Ph.D. degree in 2003 from ETH Zurich and his M.S. degree in computer science in 1999 from the Technical University of Kaiserslautern, Germany. His research focuses on efficient representations and algorithms for digital 3D models with a particular emphasis on dynamic shapes. The central goal is to develop new algorithms and tools for efficient 3D model representation, analysis, simulation, and interaction.