Detection and visualization of closed streamlines in planar flows

T Wischgoll, G Scheuermann - IEEE Transactions on …, 2001 - ieeexplore.ieee.org
The analysis and visualization of flows is a central problem in visualization. Topology-based
methods have gained increasing interest in recent years. This article describes a method for …

Topology tracking for the visualization of time-dependent two-dimensional flows

X Tricoche, T Wischgoll, G Scheuermann… - Computers & Graphics, 2002 - Elsevier
The paper presents a topology-based visualization method for time-dependent two-
dimensional vector fields. A time interpolation enables the accurate tracking of critical points …

[PDF][PDF] Locating closed streamlines in 3d vector fields

D Ebert, P Brunet, I Navazo - methods, 2002 - academia.edu
The analysis and visualization of flows is a central problem in visualization. Topology based
methods have gained increasing interest in recent years. This article describes a method for …

Computation of invariant tori by orthogonal collocation

KD Edoh, RD Russell, W Sun - Applied Numerical Mathematics, 2000 - Elsevier
A partial differential equation formulation has been used recently for the problem of
computing invariant tori for systems of ordinary differential equations. We present an O (h4) …

[PDF][PDF] Tracking Closed Streamlines in Time Dependent Planar Flows.

T Wischgoll, G Scheuermann, H Hagen - VMV, 2001 - avida.cs.wright.edu
Closed streamlines are a missing part in most visualizations of vector field topology. In this
paper, we propose a method which detects closed streamlines in a time-dependent two …

[图书][B] A new paradigm for exploration in computer-aided visualization

DH Hepting - 1999 - Citeseer
This dissertation examines how the computer can aid the creative human endeavour which
is data visualization. That computers now critically aid many elds is apparent, as is …

[PDF][PDF] Ergodic theory and visualization I: Visualization of ergodic partition and invariant sets

Z Levnajic, I Mezic - … to Chaos; arXiv: 0805.4221 v3 [nlin …, 2008 - compmath.wordpress.com
The increasing range of phenomena modeled through dynamical systems [4] induces the
demand for new and better computational approaches to the complex dynamics. Virtually …

[PDF][PDF] Locating Closed Streamlines in 3D Vector Fields

D Ebert, P Brunet, I Navazo - methods - diglib.eg.org
The analysis and visualization of flows is a central problem in visualization. Topology based
methods have gained increasing interest in recent years. This article describes a method for …

3D loop detection and visualization in vector fields

T Wischgoll, G Scheuermann - Visualization and Mathematics III, 2003 - Springer
Visualization has developed a tendency to use mathematical analysis to obtain and present
important data properties. In three-dimensional fluid flows, engineers are interested in …

Locating closed hyperstreamlines in second order tensor fields

T Wischgoll, J Meyer - Visualization and Processing of Tensor Fields, 2006 - Springer
The analysis and visualization of tensor fields is an advancing area in scientific visualization.
Topology-based methods that investigate the eigenvector fields of second order tensor fields …