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Tensor Invariants and Glyph Design

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:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Kratz, AndreaZuse Institut BerlinUNSPECIFIED
Auer, CorneliaZuse Institut BerUNSPECIFIED
Hotz, IngridUNSPECIFIEDUNSPECIFIED
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:
EditorsEmail
Westin, Carl-FredrikUNSPECIFIED
Vilanova, AnnaUNSPECIFIED
Burgeth, BernhardUNSPECIFIED
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 Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Vorhaben SISTEC
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

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