elib
DLR-Header
DLR-Logo -> http://www.dlr.de
DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature

Zobel, Valentin and Reininghaus, Jan and Hotz, Ingrid (2014) Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature. In: Topological Methods in Data Analysis and Visualization III Mathematics and Visualization. Springer. pp. 249-262. ISBN 978-3-319-04098-1.

Full text not available from this repository.

Official URL: http://link.springer.com/chapter/10.1007/978-3-319-04099-8_16

Abstract

We propose a method for visualizing two-dimensional symmetric tensor fields using the Heat Kernel Signature (HKS). The HKS is derived from the heat kernel and was originally introduced as an isometry invariant shape signature. The time parameter of the heat kernel allows a multiscale analysis in a natural way. By considering a positive definite tensor field as a Riemannian metric the definition of the HKS can be applied directly. To investigate how this measure can be used to visualize more general tensor fields we apply mappings to obtain positive definite tensor fields. The resulting scalar quantity is used for the visualization of tensor fields. For short times it is closely related to Gaussian curvature, i. e. it is quite different to usual tensor invariants like the trace or the determinant.

Item URL in elib:https://elib.dlr.de/93805/
Document Type:Contribution to a Collection
Title:Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Zobel, ValentinUniversitaet LeipzigUNSPECIFIED
Reininghaus, JanIST WienUNSPECIFIED
Hotz, IngridUNSPECIFIEDUNSPECIFIED
Date:2014
Journal or Publication Title:Topological Methods in Data Analysis and Visualization III
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
DOI :[10.1007/978-3-319-04099-8_16]
Page Range:pp. 249-262
Editors:
EditorsEmail
Bremer, Peer-TimoUNSPECIFIED
Hotz, IngridUNSPECIFIED
Pascucci, ValeriaUNSPECIFIED
Peikert, RolandUNSPECIFIED
Publisher:Springer
Series Name:Mathematics and Visualization
ISBN:978-3-319-04098-1
Status:Published
Keywords:Heat Kernel Signature, 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:18 Dec 2014 14:25
Last Modified:18 Dec 2014 14:25

Repository Staff Only: item control page

Browse
Search
Help & Contact
Information
electronic library is running on EPrints 3.3.12
Copyright © 2008-2017 German Aerospace Center (DLR). All rights reserved.