Facts:Institute of Mathematics@TU-Berlin
SFB / Transregio 109 Discretization in Geometry and Dynamics
DFG Research Center MATHEON mathematics for key technologies
Project F1: Discrete Surface Parametrizations
Blog: Notes on things
office: MA 879
phone: +49(0)30 314-29486
group: Geometry Group
S. Sechelmann, T. Roerig, and A. I. Bobenko. Quasiisothermic Mesh Layout. In Hesselgren, L.; Sharma, S.; Wallner, J.; Baldassini, N.; Bompas, P.; Raynaud, J. (Eds.). Advances in Architectural Geometry 2012. 2012, 344 p. 285 illus. in color. ISBN 978-3-7091-1250-2
E. Lafuente E, S. Sechelmann, T. Roerig, and C. Gengnagel. Topology Optimisation of Regular and Irregular Elastic Gridshells by means of a Non-linear Variational Method. In Hesselgren, L.; Sharma, S.; Wallner, J.; Baldassini, N.; Bompas, P.; Raynaud, J. (Eds.). Advances in Architectural Geometry 2012. 2012, 344 p. 285 illus. in color. ISBN 978-3-7091-1250-2
E. Lafuente E, C. Gengnagel, S. Sechelmann, and T. Roerig. On the Materiality and Structural Behaviour of highly-elastic Gridshell Structures In Gengnagel, C.; Kilian, A.; Palz, N.; Scheurer, F. (Eds.). Computational Design Modeling: Proceedings of the Design Modeling Symposium Berlin 2011 2012, XVI, 347 p. ISBN 978-3-642-23435-4
VaryLab:VaryLab is all about mesh optimization, we say discrete surface optimization. That means you can modify a given mesh to have minimal energy in a certain sense. The energy in question is a combination of energies that are defined on the vertex positions of the input mesh. VaryLab implements various energies for discrete surfaces, e.g., planarity of faces, equal lengths of edges, curvature of parameter curves and many more.
Visit us at http://www.varylab.com
I work together with the people of www.interactive-scape.com to create multi-touch applications.
jPETScTao:jPETScTao is the name for a Java project, that tries to make a part of the functionality of two numeric libraries PETSc and Tao accessible for Java programs. It utilizes the JNI to achieve that.
Discrete S-Isothermic Minimal Surfaces:
Schoen's I-6 Surface
Discrete Minimal Surfaces This application calculates discrete minimal surfaces as described in my diploma thesis. The construction method follows the approach of Bobenko, Hoffmann, and Springborn. It uses the notion of discrete isothermic surfaces and their Cristoffel transform to define discrete minimal surfaces. The program is able to create surfaces with planar boundary curvature lines.
Alexandrov's Polyhedron In cooperation with Ivan Izmestiev I implemented an algorithm for constructing convex polyhedra with a given metric. The java webstart on the left is the main program which I used for testing and research purposes.
Teamgeist(TM) Polyhedron The right program is an application of the alexandrov program. It calculates a polyhedron with predefined combinatorics and symetry of the Teamgeist(TM) soccer ball. I created this during the world soccer championchips. For a description and a java applet see A "Teamgeist" Polyhedron
Another polyhedron I created with the help of this tool is the Reuleaux Triangle Tetrahedron. This is a Tetrahedron with curved sides which are Reuleaux Triangles. Those triangles get slighly bent to fit together.
Koebe Polyhedron Editor Together with Boris Springborn I created a visualization tool for Koebe Polyhedra. Click the image to start a Java Webstart application.
The left section is a graph designer. If the graph is 3-connected and enbedded the program calculates the corresponding polyhedron and displays a normalized representation in the righ section.
This is the first program I created for the geometry group. It contains numerical algorithms for nonlinear optimization of the convex functional involved. I use the marvelous MTJ library for linear solving and sparse matrix representation. The program is also part of my diploma thesis and is being described in detail in Chapter 1.
Piano PlayingHere I publish the piano recordings I'm doing for fun and at home. Feel free to download and listen.
Last modified: Stefan Sechelmann 2013-10-28