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EUROGRAPHICS 2004 / M.-P. Cani and M. Slater (Guest Editors)
 

Summary: EUROGRAPHICS 2004 / M.-P. Cani and M. Slater
(Guest Editors)
Volume 23 (2004), Number 3
Topological Construction and Visualization
of Higher Order 3D Vector Fields
T. Weinkauf1
, H. Theisel2
, H.-C. Hege1
and H.-P. Seidel2
1 Zuse Institute Berlin (ZIB), Berlin, Germany -- {weinkauf, hege}@zib.de
2 MPI Informatik, Saarbrücken, Germany -- {theisel, hpseidel}@mpi-sb.mpg.de
Abstract
We present the first algorithm for constructing 3D vector fields based on their topological skeleton. The skeleton
itself is modeled by interactively moving a number of control polygons. Then a piecewise linear vector field is
automatically constructed which has the same topological skeleton as modeled before. This approach is based on
a complete segmentation of the areas around critical points into sectors of different flow behavior. Based on this,
we present the first approach to visualizing higher order critical points of 3D vector fields.
Categories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Line and Curve Genera-
tion I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism
1. Introduction

  

Source: Andrzejak, Artur - Konrad-Zuse-Zentrum für Informationstechnik Berlin
Frey, Pascal - Laboratoire Jacques-Louis Lions, Université Pierre-et-Marie-Curie, Paris 6

 

Collections: Computer Technologies and Information Sciences; Mathematics