- Computer Graphics and Visualization Techniques
- Data Visualization and Analytics
- Topological and Geometric Data Analysis
- Advanced Neuroimaging Techniques and Applications
- Advanced Vision and Imaging
- Algebraic and Geometric Analysis
- Advanced Numerical Analysis Techniques
- Fluid Dynamics and Turbulent Flows
- Data Management and Algorithms
- Computational Physics and Python Applications
- Mathematical Analysis and Transform Methods
- Tensor decomposition and applications
- Geographic Information Systems Studies
- Image Retrieval and Classification Techniques
- Medical Image Segmentation Techniques
- 3D Shape Modeling and Analysis
- Advanced MRI Techniques and Applications
- Plant Water Relations and Carbon Dynamics
- Video Analysis and Summarization
- Time Series Analysis and Forecasting
- Advanced Text Analysis Techniques
- Computational Geometry and Mesh Generation
- Semantic Web and Ontologies
- Scientific Computing and Data Management
- Digital Humanities and Scholarship
Leipzig University
2016-2025
Signal Processing (United States)
2007-2022
Group Image (Poland)
2021
Czech Academy of Sciences, Institute of Computer Science
2019
ETH Zurich
2013
Institut für Informationsverarbeitung
2012-2013
University of California, Davis
2000-2011
University of Kaiserslautern
1997-2005
Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
2004
Air Liquide (United States)
1977
In visualization, we use the terms data, information and knowledge extensively, often in an interrelated context. many cases, they indicate different levels of abstraction, understanding, or truthfulness. For example, "visualization is concerned with exploring data information," "the primary objective visualization to gain insight into space," "information visualization" for "data mining discovery." other these three types, instance, as adjectives noun phrases, such visualization. These...
Abstract This paper presents the state of art in area topology‐based visualization. It describes process and results an extensive annotation for generating a definition terminology field. The enabled typology topological models which is used to organize research art. Our report discusses relations among each model computation, simplification, visualization, application. identifies themes common subfields, current frontiers, unexplored territory this area.
Abstract In 2005, Franco Moretti introduced Distant Reading to analyse entire literary text collections. This was a rather revolutionary idea compared the traditional Close Reading, which focuses on thorough interpretation of an individual work. Both reading techniques are prior means Visual Text Analysis. We present overview research conducted since 2005 supporting analysis tasks with close and distant visualizations in digital humanities. Therefore, we classify observed papers according...
The analysis and visualization of flows is a central problem in visualization. Topology-based methods have gained increasing interest recent years. This article describes method for the detection closed streamlines flows. It based on special treatment cases where streamline reenters cell to prevent infinite cycling during calculation. algorithm checks possible exits loop crossed edges detects structurally stable streamlines. These global features are not detected by conventional topology...
We present our results on the visualization of nonlinear vector field topology. The underlying mathematics is done in Clifford algebra, a system describing geometry by extending usual space multiplication vectors. started with observation that all known algorithms for topology are based piecewise linear or bilinear approximation, and these methods destroy local if behavior present. Our algorithm looks such situations, chooses an appropriate polynomial approximation areas, and, finally,...
This paper presents powerful surface based techniques for the analysis of complex flow fields resulting from CFD simulations. Emphasis is put on examination vortical structures. An improved method stream computation that delivers accurate results in regions intricate presented, along with a novel to determine boundary surfaces vortex cores. A number are presented aid understanding behavior displayed by these surfaces. Furthermore, scheme phenomenological extraction core lines using discussed...
Abstract The advent of endovascular thrombectomy has significantly improved outcomes for stroke patients with intracranial large vessel occlusion, yet individual benefits can vary widely. As demand rises and geographic disparities in care access persist, there is a growing need predictive models that quantify benefits. However, current imaging methods estimating may not fully capture the dynamic nature cerebral ischemia lack patient-specific assessment Our study introduces deep learning...
Topology analysis of plane, turbulent vector fields results in visual clutter caused by critical points indicating vortices finer and scales. A simplification can be achieved merging within a prescribed radius into higher order points. After building clusters containing the singularities to merge, method generates piecewise linear representation field each cluster only one (higher order) singularity. Any visualization applied result after this process. Using different maximal distances for...
Vector fields can present complex structural behavior, especially in turbulent computational fluid dynamics. The topological analysis of these data sets reduces the information, but one is usually still left with too many details for interpretation. In this paper, we a simplification approach that removes pairs critical points from set, based on relevance measures. contrast to earlier methods, no grid changes are necessary, since whole method uses small local vector values defining field. An...
We present an approach for monitoring the positions of vector field singularities and related structural changes in time-dependent datasets. The concept singularity index is discussed extended from well-understood planar case to more intricate three-dimensional setting. Assuming a tetrahedral grid with linear interpolation space time, obey rules imposed by fundamental invariants (Poincare index), which we use as basis efficient tracking algorithm. apply presented algorithm CFD datasets...
Predicates are functions that return Boolean values. They an essential tool in computer science. A close look at flow feature definitions reveals they can be seen as point predicates tell if a specific exists certain point. Besides the information about features, scientists and engineers like to know overall behavior of all streamlines flow, typically connection with important features their application domain. We call this structure definition for flow. successful example is topology. In...
The visualization and exploration of multivariate data is still a challenging task. Methods either try to visualize all variablessimultaneously at each position using glyph-based approaches or use linked views for the interaction between attribute space andphysical domain such as brushing scatterplots. Most visualizations are difficult understand sufferfrom visual clutter. We propose transformation high-dimensional in 2D that results point cloud,called cloud, points with similar attributes...
Understanding fluid flow data, especially vortices, is still a challenging task. Sophisticated visualization tools help to gain insight. In this paper, we present novel approach for the interactive comparison of scalar fields using isosurfaces, and its application datasets. Features in two are defined by largest contour segmentation after topological simplification. These features matched volumetric similarity measure based on spatial overlap individual features. The relationships ranked...
Dynamical changes of RNA secondary structures play an important role in the function many regulatory RNAs. Such kinetic effects, especially time-variable and externally triggered systems, are usually investigated by means extensive expensive simulations large sets individual folding trajectories. Here we describe theoretical foundations a generic approach that not only allows direct computation approximate population densities but also reduces efforts required to analyze energy landscapes...
In many fields of science or engineering, we are confronted with uncertain data. For that reason, the visualization uncertainty received a lot attention, especially in recent years. majority cases, Gaussian distributions used to describe behavior, because they able model phenomena encountered science. Therefore, most applications data is (or assumed be) distributed. If such given on fixed positions, question interpolation arises for approaches. this paper, analyze effects usual linear...
We present a novel method to visualize multidimensional point clouds. While conventional visualization techniques, like scatterplot matrices or parallel coordinates, have issues with either overplotting of entities handling many dimensions, we abstract the data using topological methods before presenting it. assume input points be samples random variable high-dimensional probability distribution which approximate kernel density estimates on suitably reconstructed mesh. From resulting scalar...
This article describes the development and application of an innovative tool, Text Re-use Alignment Visualization (TRAViz), whose aim is to visualize variation between editions both historical modern texts. Reading different a text empowers research in literary studies linguistics, where one can study text's reception or follow its language over time. One purposes edition trace reconstruct possible archetype something that might be considered original version order better understand...
The goal of this paper is to define a convolution operation which transfers image processing and pattern matching vector fields from flow visualization. For this, multiplication vectors necessary. Clifford algebra provides such vectors. We on with uniform grids. works multivector filter masks. Scalar masks can be easily converted fields. So, scalar applied as well Furthermore, method for described. independent the direction structures. This an automatic approach feature detection. features...
Topology analysis of plane, turbulent vector fields results in visual clutter caused by critical points indicating vortices finer and scales. A simplification can be achieved merging within a prescribed radius into higher order points. After building clusters containing the singularities to merge, method generates piecewise linear representation field each cluster only one (higher order) singularity. Any visualization applied result after this process. Using different maximal distances for...