Skip to main content
Contribution to Book
Locating Closed Hyperstreamlines in Second Order Tensor Fields
Visualization and Processing of Tensor Fields
  • Thomas Wischgoll, Wright State University - Main Campus
  • Joerg Meyer
Document Type
Book Chapter
Publication Date
1-1-2006
Find this in a Library
Catalog Record
Disciplines
Abstract

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 have gained increasing interest in recent years. Most algorithms focus on features known from vector fields, such as saddle points and attracting or repelling nodes. However, more complex features, such as closed hyperstreamlines are usually neglected. In this chapter, a method for detecting closed hyperstreamlines in tensor fields as a topological feature is presented. The method is based on a special treatment of cases where a hyperstreamline reenters a cell and prevents infinite cycling during hyperstreamline calculation. The algorithm checks for possible exits of a loop of crossed edges and detects structurally stable closed hyperstreamlines. These global features cannot be detected by conventional topology and feature detection algorithms used for the visualization of second order tensor fields.

DOI
10.1007/3-540-31272-2_15
Citation Information
Thomas Wischgoll and Joerg Meyer. "Locating Closed Hyperstreamlines in Second Order Tensor Fields" Visualization and Processing of Tensor Fields (2006) p. 257 - 267 ISSN: 9783540250326
Available at: http://works.bepress.com/thomas_wischgoll/25/