Kratz, Andrea and Auer, Cornelia and Hotz, Ingrid (2014) Tensor Invariants and Glyph Design. In: Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (Dagstuhl'11). Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data Mathematics and Visualization. Springer. pp. 17-34. ISBN 978-3-642-54300-5.
Full text not available from this repository.
Official URL: http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-3-642-54300-5
Abstract
Tensors provide a mathematical language for the description of many physical phenomena. They appear everywhere were the dependence of multiple vec- tor fields is approximated as linear. Due to this generality they occur in various appli- cation areas, either as result or intermediate product of simulations. As different as these applications, is the physical meaning and relevance of particular mathematical properties. In this context, domain specific tensor invariants that describe the enti- ties of interest play a crucial role. Due to their importance, we propose to build any tensor visualization upon a set of carefully chosen tensor invariants. In this chapter we focus on glyph-based representations, which still belong to the most frequently used tensor visualization methods. For the effectiveness of such visualizations the right choice of glyphs is essential. This chapter summarizes some common glyphs, mostly with origin in mechanical engineering, and link their interpretation to spe- cific tensor invariants.
Item URL in elib: | https://elib.dlr.de/93802/ | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Document Type: | Book Section | ||||||||||||
Title: | Tensor Invariants and Glyph Design | ||||||||||||
Authors: |
| ||||||||||||
Date: | 2014 | ||||||||||||
Journal or Publication Title: | Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data | ||||||||||||
Refereed publication: | Yes | ||||||||||||
Open Access: | No | ||||||||||||
Gold Open Access: | No | ||||||||||||
In SCOPUS: | No | ||||||||||||
In ISI Web of Science: | No | ||||||||||||
Page Range: | pp. 17-34 | ||||||||||||
Editors: |
| ||||||||||||
Publisher: | Springer | ||||||||||||
Series Name: | Mathematics and Visualization | ||||||||||||
ISBN: | 978-3-642-54300-5 | ||||||||||||
Status: | Published | ||||||||||||
Keywords: | Tensor Visualisierung | ||||||||||||
HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||
HGF - Program: | Space | ||||||||||||
HGF - Program Themes: | Space System Technology | ||||||||||||
DLR - Research area: | Raumfahrt | ||||||||||||
DLR - Program: | R SY - Space System Technology | ||||||||||||
DLR - Research theme (Project): | R - Vorhaben SISTEC (old) | ||||||||||||
Location: | Braunschweig | ||||||||||||
Institutes and Institutions: | Institut of Simulation and Software Technology > Software for Space Systems and Interactive Visualisation | ||||||||||||
Deposited By: | Hotz, Ingrid | ||||||||||||
Deposited On: | 17 Dec 2014 15:59 | ||||||||||||
Last Modified: | 17 Dec 2014 15:59 |
Repository Staff Only: item control page