Topology-based flow visualization, the state of the art

RS Laramee, H Hauser, L Zhao, FH Post - Topology-based methods in …, 2007 - Springer
Flow visualization research has made rapid advances in recent years, especially in the area
of topology-based flow visualization. The ever increasing size of scientific data sets favors …

The state of the art in topology‐based visualization of unsteady flow

A Pobitzer, R Peikert, R Fuchs… - Computer Graphics …, 2011 - Wiley Online Library
Vector fields are a common concept for the representation of many different kinds of flow
phenomena in science and engineering. Methods based on vector field topology are known …

A survey of topology‐based methods in visualization

C Heine, H Leitte, M Hlawitschka… - Computer Graphics …, 2016 - Wiley Online Library
This paper presents the state of the art in the area of topology‐based visualization. It
describes the process and results of an extensive annotation for generating a definition and …

A higher-order method for finding vortex core lines

M Roth, R Peikert - Proceedings Visualization'98 (Cat. No …, 1998 - ieeexplore.ieee.org
This paper presents a novel method to extract vortical structures from 3D CFD
(computational fluid dynamics) vector fields automatically. It discusses the underlying theory …

A topology simplification method for 2D vector fields

X Tricoche, G Scheuermann… - … Visualization 2000. VIS …, 2000 - ieeexplore.ieee.org
Topology analysis of plane, turbulent vector fields results in visual clutter caused by critical
points indicating vortices of finer and finer scales. A simplification can be achieved by …

Topological constraints on the dynamics of vortex formation in a two-dimensional quantum fluid

T Congy, P Azam, R Kaiser, N Pavloff - Physical Review Letters, 2024 - APS
We present experimental and theoretical results on formation of quantum vortices in a laser
beam propagating in a nonlinear medium. Topological constrains richer than the mere …

Feature extraction of separation and attachment lines

DN Kenwright, C Henze, C Levit - IEEE transactions on …, 1999 - ieeexplore.ieee.org
Separation and attachment lines are topologically significant curves that exist on 2D
surfaces in 3D vector fields. Two algorithms are presented, one point-based and one …

Visualizing nonlinear vector field topology

G Scheuermann, H Kruger, M Menzel… - … on Visualization and …, 2002 - ieeexplore.ieee.org
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 the …

Clifford convolution and pattern matching on vector fields

J Ebling, G Scheuermann - IEEE Visualization, 2003. VIS 2003., 2003 - ieeexplore.ieee.org
The goal of this paper is to define a convolution operation which transfers image processing
and pattern matching to vector fields from flow visualization. For this, a multiplication of …

[CARTE][B] GPU-based interactive visualization techniques

D Weiskopf - 2007 - Springer
Graphics processing units (GPUs) have been revolutionizing the way computer graphics
and visualization are practiced. Driven by the computer-games industry and its demand for …