Research at / Forschung bei T-Systems International GmbH
(Business Unit Digital Engineering Solutions)
Working for T-Systems I look(ed) after following master theses /
Im Rahmen meiner Arbeit für T-Systems betreu(t)e ich folgende
Diplom-Arbeiten:
- Jürgen Butscher:
Considering Replacement of MEDINA Geometric Kernel
by a NURBS-based Kernel /
Untersuchungen zur Ablösung des MEDINA-Geometrie-Kerns
durch einen NURBS-basierten Kern.
20070131.
Current MEDINA geometric kernel is based on polynomials and lacks
powerful algorithms for surface intersections and offsets.
Commercial, NURBS-based geometric kernels offer more advanced
algorithms. They are investigated in this diploma thesis.
PDF file (ca. 1.0MB)
- Joachim Blasy & Marijan Rumenovic:
Surface Reconstruction from Results of Topological Optimizations
Using Active B-Splines /
CAD-Flächengenerierung aus Ergebnissen einer
Topologieoptimierung mittels aktiver B-Splines.
20060226.
This diploma thesis aims to a similar target like its two predecessors.
However, the task of finding a suitable parametrization of the
constructed surfaces is treated with algorithms like those
described in
H. Pottmann, S. Leopoldseder: A concept for parametric surface fitting
which avoids the parametrization problem.
Computer Aided Geometric Design 20 (2003), 343-362.
http://www.geometrie.tuwien.ac.at/pottmann
PDF file (ca. 1.8MB)
- Sefa Ülger:
Surface Reconstruction from Finite Element Meshes
and from Results of Topological Optimizations /
Flächenrekonstruktion aus Finite-Elemente-Netzen
und aus Ergebnissen von Topologieoptimierern.
20041130.
This diploma thesis continues the one of Philipp Wagner.
Several new and enhanced algorithms take the concept
close to practical usability.
PDF file (ca. 5.2MB)
- Philipp Wagner:
Surface Reconstruction from Finite Element Meshes /
Flächenrekonstruktion aus Finite-Elemente-Netzen.
20030414.
Several applications in finite element preprocessing require
the reconstruction of CAD / CAGD data from finite element meshes.
This thesis figures out which currently known
surface recovering algorithms fit best to
finite element surface meshes used in automotive industries
and which obstacles are to get over.
PDF file (ca. 3.8MB)
- Regina Schikora:
PH curves / PH-Kurven.
20020301
Pythagorean Hodograph curves have proved to be an interesting tool
in two dimensional design and CNC manufacturing
(cf. papers of Ravi T. Farouki et al.).
This thesis shows that transfering results from 2D to 3D curves
leads to several severe problems, for instance:
- quite expensive numerical computations,
- the need to use higher order polynomials
- or non-planar PH curves interpolating planar data.
Post script file might be obtained from the author.
Research at University of Göttingen /
Forschung an der Universität Göttingen
Within my PhD thesis and my papers,
I was adapting the radial basis function interpolation method
to the approximation of solutions of linear operator equations,
such as partial differential equations or integral equations.
Interpolation with radial basis function I first met in the
context of my `Diplom' thesis.
In meiner Dissertation und meinen Papers beschäftigte ich mich mit der
Adaption von Interpolationsverfahren mit radialen Basisfunktionen
auf die Approximation der Lösung partieller Differentialgleichungen.
Interpolation mit radialen Basisfunktionen hatte ich zuvor im Rahmen meiner
Diplomarbeit kennen- und schätzen gelernt.
Preprints and Publications
- of our team / unserer Arbeitsgruppe: See / Siehe
http://www.num.math.uni-goettingen.de/schaback/research/group.html.
- of
Dr.
Holger Wendland: See / Siehe
http://www.num.math.uni-goettingen.de/wendland/papers.html.
- of / von
Prof.
Schaback
and myself / und mir:
- 970611 Solving Partial Differential Equations by Collocation
using Radial Basis Functions in
Applied Mathematics and Computation,
Volume 93, Issue 1, June 1998, pp. 73-82,
abstract,
gzipped ps file (ca. 82 Kb)
- 971213 Convergence Order Estimates
of Meshless Collocation Methods using
Radial Basis Functions in
Advances in Computational Mathematics,
Volume 8, Issue 4, June 1998, pp. 381-399,
abstract,
dvi file (ca. 88 KB),
ps file (ca. 268 KB)
or else
dvi file (ca. 86 Kb),
gzipped ps file (ca. 79 Kb)
- 980914 my PhD thesis / meine Dissertation:
Hermite-Birkhoff-Interpolation mit radialen Basisfunktionen
in gewichteten Sobolew-Räumen
mit Anwendung auf partielle Differentialgleichungen,
dvi.Z file (ca. 247 KB)
or else
abstract,
gzipped ps file.
As demanded by the publishers, these files do not reflect
the final, published versions.
In especially, the page layout and equation numbering may differ.
Please take care of this, if you cite these papers.
Yfranke@math.uni-goettingenX.de (Please remove X and Y!)
