# Former Projects

### Spin-off 2011-2012: Uplivion

*Konrad Polthier*

The long term goal of the Uplivion project is to replace the DVD as the primary means of distributing high-end computer games and to make them available through the web browser instead. Our technology enables players to start playing a game by simply navigating to a website and pressing the play-button, much in the same way as watching a video on YouTube. To make this possible, we are developing a highly optimized suite of technologies that cover all aspects of streaming games across the ...

### Spin-off 2010-2011: Laubwerk

*Konrad Polthier*

Laubwerk, founded in April 2010 and supported by an EXIST-grant, enables for the first time architects and landscape architects to get the full variety of plant life on their computer. The Laubwerk team developed a novel technology in combination with a skeleton-based storage format and a software library to flexibly build geometries for 3D plant models. This allows the user to fluently work with 3D plants in a preview mode and guarantees high-end visualization in a breathtaking quality and ...

### Spin-off 2010-2011: vismath

*Konrad Polthier*

Mathematics is everywhere: in mobile phones, MP3 players, and computers, just to name a few; it is a fundament of science and technology. Still its reputation could be better: it is usually regarded as an abstract subject, tedious and too dry to be comprehensible, with its uses often remaining often a mystery. vismath, founded in March 2010 and supported by an EXIST-grant, aims at a change: presenting mathematics in an inspiring and vivid way, accessible for everyone and unveiling its effective ...

### DAAD Project 2002-2003: Development of Electronic Information Infrastructure and Multimedia Courseware

AG Mathematical Geometry Processing

*Prof. Dr. Konrad Polthier*

This project splits into two parts: Mathematical Visualization and web based software on the hand, and Electronic Information and Communication on the other. The goal is the development of multimedia courseware and the establishment of a cooperative networks for enhanced knowledge transfer. "Development of Electronic Information Infrastructure and Multimedia Courseware" is a project within the DAAD-Sonderprogramm "Akademischer Neuaufbau Südosteuropa".

## Former Projects — finished

### Design Research Exchange (DRX 2012)

Jul 16, 2012 — Sep 07, 2012

The first Design Research Exchange (DRX 2012) takes place in Berlin 16.07.12 through 07.09.12. Participants of the DRX 2012 include four invited DRX Experts and nine invited DRX Researchers with backgrounds in architecture, engineering, mathematics, and computer programming. The topic of exploration for the DRX 2012 is Minimal Surface High-Rise Structures. The DRX 2012 Opening (16 July) and Final Exhibition (7 September) comprise two public events.

### Matheon 2010: F11 - Accelerating Curvature Flows on the GPU

*K. Polthier, H.-C. Hege*

Jul 01, 2010 — Dec 31, 2010

The goal of this project to speed up the computation of curvature flows, previously implemented on the CPU. This project will in particular demonstrate numerics that fully utilize the SIMT (single-instruction, multiple-thread) architecture of modern Graphics cards (GPU), and provide a proof-of-concept implementation of advanced geometry processing on the GPU. In particular, industrial design and CAD companies could use such fast curvature flow or smoothing algorithms for their laser ...

### Research in Industrial Projects (RIPS 2010)<br>"Surface Optimization using Graphics Card"<br>(joint with IPAM and mental images)

*Konrad Polthier, Kashif Rasul*

Jun 07, 2010 — Jul 31, 2010

Surface meshes obtained from a 3D laser-scanner typically include high-frequency noise and distortions due to scanning inaccuracies. Special discrete variants of anisotropic mean curvature flows have proven to remedy noise artifacts while maintaining or even improving quality of the surface mesh. Industrial surface models typically have a large number of variable nodes leading to long running times. This project will investigate to accelerate the compute time by using the latest Cuda library. ...

### DAAD Project 2004-2008: Multimedia Technology for Mathematics and Computer Science Education

AG Mathematical Geometry Processing

*Konrad Polthier*

Jan 01, 2004 — Dec 31, 2008

This project is a university cooperation between the mathematics institutes of FU Berlin with mathematics institutes at the University of Belgrade, the Mathematics institute of SANU (Serbian Academy of Sciences), the faculties of Sciences and Mathematics, Mechanical Engineering and Electronical Engineering at the University of Nis, the department of Mathematics at the University of Sofia and the department of geometry at the University of Technology and Economics in Budapest, the faculty of ...

### Matheon 2004-2008: Z3 - Visualization of Algorithms

*Brigitte Lutz-Westphal, Konrad Polthier*

Jun 01, 2004 — May 31, 2008

The project develops visualizations and didactic concepts for teaching mathematical algorithms in schools. Understanding how an algorithm works is crucial and often accomplished best by simulating it in some way. Computers provide the means to make these simulations efficient and fun, compared to classical pen-and-paper approaches.

### Industry Cooperation 2007: ThyssenKrupp

AG Mathematical Geometry Processing

*Konrad Polthier*

Jun 01, 2007 — Nov 30, 2007

Topology optimization solves the problem of optimally distributing a given amount of material in a given design space subject to load and support conditions. An important application is the design of stable and lightweight mechanical parts. In manufacturing, sheet metal is a preferred material. Therefore, a desired goal is to incorporate the information obtained by topology optimization into the design of parts made of sheet metal. We identify planar regions in an optimal distribution of ...

### Industry Cooperation 2004-2007: Tebis AG

AG Mathematical Geometry Processing

*Konrad Polthier*

Jul 01, 2004 — Aug 30, 2007

Class-A denotes the highest quality standard for industrial surfaces such as a car body. The characterization and computation of Class-A surface involve serious mathematical challenges: Mathematical characterization of Class-A surfaces. Non-linear energy functionals and error bounds based on geometric properties. Real-time optimization methods for CAD modeling processes. We offer software solutions for mesh optimization - preserving non-linear features and providing noise removal ...

### Industry Cooperation 2006-2007: TubeExpert

AG Mathematical Geometry Processing

*Konrad Polthier*

May 01, 2006 — Apr 30, 2007

Laser range scanners allow highly accurate measurement of manufaturing parts such as tubes. However, generic surface reconstruction software does not give the specific information needed for quality assurance and cannot provide correction data for the tube bending process. Our aim is to find a tubular geometry which fits best with the measured data. Segmentation of point cloud data Parametric registration of geometric primitives Real-time processing of sampling data We provide ...

### Matheon 2002-2006: F1 - Discrete Differential Geometry

AG Mathematical Geometry Processing

*Alexander Bobenko, Ulrich Pinkall, Konrad Polthier, Günter Ziegler*

Jun 01, 2002 — May 31, 2006

This is another project within the DFG Research Center MATHEON - "Mathematics for key technologies". The main goal of this project is the discretization of classical differential geometry: to find proper discrete analogs of differential geometric objects, notions, and methods, and to develop a corresponding theory. Such a discrete differential geometry has applications in computer graphics, numerics, and visualization.

### Industry Cooperation 2004-2010: mental images

AG Mathematical Geometry Processing

*Konrad Polthier*

Apr 01, 2004 — Jan 17, 2010

Numerical simulations and the rendering of complex virtual scenes is often limited by the huge size of the involved geometry meshes. This project researches the geometric and topological properties of mesh representations to solve the following challenges: An efficient and redundant-free representation of 3D geometry meshes. Fast online transfer of 3D data sets. Toolbox for rapid compression and decompression. We develop algorithms and implementations for mesh compression, ...