stochastic method for automated matching of horizons across a fault in 3D seismic data

Seismic analysis, horizon matching, fault tracking, marked point process,stochastic annealing

Extraction of topological structures in 2D and 3D vector fields

feature extraction, feature tracking, vector field visualization

Extraction of vortex structures in 3D flow fields

Magdeburg, Univ., Fak. für Informatik, Diss., 2009

Ricci-flat complex geometry and its applications

Magdeburg, Univ., Fak. für Mathematik, Habil.-Schr., 2010

Adelic convex geometry of numbers

Magdeburg, Univ., Fak. für Mathematik, Diss., 2014

Context-aware 3D model generation for biomedical applications

Magdeburg, Univ., Fak. für Informatik, Diss., 2014

3D-Druck in der Anwendung : 3. Mitteldeutsches Forum 3D-Druck in der Anwendung, Hochschule Merseburg, 18. Mai 2016

[s.c.]

3D-Druck in der Anwendung : 2. Mitteldeutsches Forum 3D-Druck in der Anwendung, HTWK Leipzig, 27. Mai 2015

[s.c.]

Perception-guided evaluation of 3D medical visualizations

Magdeburg, Univ., Fak. für Informatik, Diss., 2015

3D-Echtzeitrendering mit Ventuz

Ziel der vorliegenden Bachelorarbeit ist es zu erläutern, wie 3D-Echtzeitrendering funktioniert und wie dies mit der Software Ventuz Designer Version 4 von der Firma Ventuz Technology AG durchgeführt wird. Sie ermöglicht dem Anwender, ohne Programmierkenntnis, auf die Funktionen der Grafikkarte über DirectX zuzugreifen. Es wird Grundwissen zum Thema computer-gestützte Bildgenerierung vermittelt, um ein besseres Verständnis für die dahinterliegenden Prozesse und Verfahren zu entwickeln.

Does abdominoplasty with liposuction of the love handles yield a shorter scar? An analysis with abdominal 3D laser scanning.

The aim of this study was to evaluate the combination of abdominoplasty with liposuction of both flanks with regards to length of scar, complications, and patient's satisfaction. A retrospective analysis of 35 patients who underwent esthetic abdominoplasty at our institution between 2002 and 2004 was performed. Thirteen patients underwent abdominoplasty with liposuction of both flanks, 22 patients underwent conventional abdominoplasty. Liposuction of the flanks did not increase the rate of complications of the abdominoplasty procedures. We found a tendency toward shorter scars in patients who underwent abdominoplasty combined with liposuction of the flanks. Implementation of 3-dimensional laser surface scanning to objectify the postoperative outcomes, documented a comparable degree of flatness of the achieved body contouring in both procedures. 3-dimensional laser surface scanning can be a valuable tool to objectify assessment of postoperative results.

Elements of algebraic geometry and the positive theory of partially commutative groups

The first main result of the paper is a criterion for a partially commutative group G to be a domain. It allows us to reduce the study of algebraic sets over G to the study of irreducible algebraic sets, and reduce the elementary theory of G (of a coordinate group over G) to the elementary theories of the direct factors of G (to the elementary theory of coordinate groups of irreducible algebraic sets). Then we establish normal forms for quantifier-free formulas over a non-abelian directly indecomposable partially commutative group H. Analogously to the case of free groups, we introduce the notion of a generalised equation and prove that the positive theory of H has quantifier elimination and that arbitrary first-order formulas lift from H to H * F, where F is a free group of finite rank. As a consequence, the positive theory of an arbitrary partially commutative group is decidable.