Mark Pauly: Computational Symmetry for Geometric Data Analysis

Computational Symmetry for Geometric Data Analysis and Design

The analysis and synthesis of complex 3D geometric data sets is of crucial importance in many scientific disciplines (e.g. bio-medicine, material science, mechanical engineering, physics) and industrial applications (e.g. drug design, entertainment, architecture). We are currently witnessing a tremendous increase in the size and complexity of geometric data, largely fueled by significant advances in 3D acquisition and digital production technology. However, existing computational tools are often not suited to handle this complexity. The goal of this project is to explore a fundamentally different way of processing 3D geometry. We will investigate a new generalized model of geometric symmetry as a unifying concept for studying spatial organization in geometric data. This model allows exposing the inherent redundancies in digital 3D data and will enable truly scalable algorithms for analysis, processing, and design of large-scale geometric data sets. The proposed research will address a number of fundamental questions: What is the information content of 3D geometric models? How can we represent, store, and transmit geometric data most efficiently? Can we we use symmetry to repair deficiencies and reduce noise in acquired data? What is the role of symmetry in the design process and how can it be used to reduce complexity? I will investigate these questions with an integrated approach that combines thorough theoretical studies with practical solutions for real-world applications.The proposed research has a strong interdisciplinary component and will consider the same fundamental questions from different perspectives, closely interacting with scientists of various disciplines, as well artists, architects and designers.

Max ERC funding: 1.16 million Euros
Duration: 60 months
Host institution: EPFL
Project acronym: COSYM
Domain: Physical and Engineering Sciences