The localization of critical parameter sets called bifurcations is often a central task of the analysis of a nonlinear dynamical system. Bifurcations of codimension 1 that can be ...
The paper presents a topology-based visualization method for time-dependent two-dimensional vector elds. A time interpolation enables the accurate tracking of critical points and ...
Xavier Tricoche, Thomas Wischgoll, Gerik Scheuerma...
We present an interactive method of visualizing both manifold and non-manifold implicit surfaces. The implicit surfaces are directly visualized at interactive frame rates independ...
The genus of a knot or link can be defined via Seifert surfaces. A Seifert surface of a knot or link is an oriented surface whose boundary coincides with that knot or link. Schem...
Topological methods aim at the segmentation of a vector field into areas of different flow behavior. For 2D time-dependent vector fields, two such segmentations are possible: eith...