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Visualization of Tensor Fields in Mechanics

Chiara Hergl, Christian Blecha, Vanessa Kretzschmar, Felix Raith, Fabian Günther, Markus Stommel, Jochen Jankowai, Ingrid Hotz, Thomas Nagel, Gerik Scheuermann
2021 Computer graphics forum (Print)  
Given the limitations of traditional methods, and the extra cognitive effort of simple methods, more advanced tensor field visualization approaches have been the focus of this work.  ...  This survey aims to provide an overview of recent research results with a strong application-oriented focus, targeting applications based on continuum mechanics, namely the fields of structural, bio-,  ...  Hergl et al. / Visualization of Tensor Fields in Mechanics C. Hergl et al. / Visualization of Tensor Fields in Mechanics  ... 
doi:10.1111/cgf.14209 fatcat:m6grkhl5pndpbbq7zxxgzj3snq

Asymmetric Tensor Field Visualization for Surfaces

Guoning Chen, Darrel Palke, Zhongzang Lin, Harry Yeh, Paul Vincent, Robert S. Laramee, Eugene Zhang
2011 IEEE Transactions on Visualization and Computer Graphics  
In addition, we encode tensor magnitude, an important quantity in tensor field analysis, using the density of hyperstreamlines and sizes of glyphs.  ...  The combination of these techniques leads to an efficient tensor field visualization system for domain scientists.  ...  Harry Yeh acknowledges the support of the Edwards endowment.  ... 
doi:10.1109/tvcg.2011.170 pmid:22034315 fatcat:sn7r5q46cff5jed7asqvfiarpq

Strain index: a new visualizing parameter for US elastography

Dario Sosa-Cabrera, R. de Luis-García, A. Tristán-Vega, Carlos Alberola-López, Juan Ruiz-Alzola, Stephen A. McAleavey, Jan D'hooge
2008 Medical Imaging 2008: Ultrasonic Imaging and Signal Processing  
In this paper, we propose to represent the elastic behaviour of tissues through the visualization of the Strain Index, related with the trace of the strain tensor.  ...  Results show that the visualization of the tensor trace significantly improves the representation and detection of inclusions, and can help add insight in the detection of different types of tumors.  ...  Funding was provided by the Spanish Ministry of Science and Technology (TEC-2004-06647-C03-02) and the European NoE SIMILAR FP6-507609.  ... 
doi:10.1117/12.769191 fatcat:urgj5zrjaje33ftqn332omowtu

Visualization Framework for Assisting Interface Optimization of Hybrid Component Design

Vanessa Kretzschmar, Christina Gillmann, Fabian Günther, Markus Stommel, Gerik Scheuermann
2020 International Symposium on Vision, Modeling, and Visualization  
In order to assist mechanical engineers in deeper exploration of the often numerous set of simulations, a framework based on visual analytics techniques was developed in close collaboration with engineers  ...  Resulting from this, mechanical engineers acquire large amounts of simulations outputting multi-field datasets, to examine the impact of differently designed load transmitting elements, their number, and  ...  Although a variety of work exists that aims to provide users with proper visualizations of multiple scalar fields and tensor fields, mechanical engineers need very intuitive access to their data.  ... 
doi:10.2312/vmv.20201188 dblp:conf/vmv/KretzschmarGGSS20 fatcat:ggmx3njonnfuxd3ry7pkcu2x7i

Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (Dagstuhl Seminar 11501)

Bernhard Burgeth, Carl-Fredrik Westin, Marc Herbstritt
2012 Dagstuhl Reports  
This report documents the program and the outcomes of Dagstuhl Seminar 11501 "Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data", taking place December 11-16, 2011  ...  The focus of the seminar was to discuss modern and emerging methods for analysis and visualization of tensor and higher order descriptors from medical imaging and engineering applications.  ...  As always, we enjoyed the warm atmosphere of the Schloss, which supports both formal presentations as well as informal exchanges of ideas.  ... 
doi:10.4230/dagrep.1.12.27 dblp:journals/dagstuhl-reports/BurgethW11 fatcat:6ikrkdto5rftthqjhwjau4gjiy

Feature Surfaces in Symmetric Tensor Fields Based on Eigenvalue Manifold

Jonathan Palacios, Harry Yeh, Wenping Wang, Yue Zhang, Robert S. Laramee, Ritesh Sharma, Thomas Schultz, Eugene Zhang
2016 IEEE Transactions on Visualization and Computer Graphics  
Three-dimensional symmetric tensor fields have a wide range of applications in solid and fluid mechanics.  ...  We also extract and visualize the isosurfaces of tensor modes, tensor isotropy, and tensor magnitude, which we have found useful for domain applications in fluid and solid mechanics.  ...  In addition, he wishes to acknowledge the support received while a guest professor at the Max-Planck-Institute of Informatics where some of the initial research ideas in this paper were conceived.  ... 
doi:10.1109/tvcg.2015.2484343 pmid:26441450 fatcat:bnl4nqv6azbzzbx2ak5zndtayy

Feature Curves and Surfaces of 3D Asymmetric Tensor Fields [article]

Shih-Hsuan Hung, Yue Zhang, Harry Yeh, Eugene Zhang
2021 arXiv   pre-print
In this paper, we address the analysis and visualization of 3D asymmetric tensor fields.  ...  Existing research in tensor field visualization focuses on 2D asymmetric tensor fields and 3D symmetric tensor fields.  ...  This work was supported in part by the NSF award (#1619383).  ... 
arXiv:2108.02114v1 fatcat:7zpgssoy75b47iiqpdkn6zp4yi

Recovery of Visual Field Defect via Corpus Callosum in a Patient with Cerebral Infarct

Sung Ho Jang, Han Do Lee
2015 Neuro-ophthalmology (Aeolus Press. 1980)  
Recovery mechanism of visual field defect in stroke patients has not been clearly elucidated.  ...  We believe that the results of this study may suggest one of the mechanisms for recovery of visual field defect following injury of OR in stroke patients.  ...  mechanism of visual field defect in a patient with a cerebral infarct.  ... 
doi:10.3109/01658107.2014.998771 pmid:27928338 pmcid:PMC5123032 fatcat:ga6bnaiarbd7fmtxgrinqfceki

Derived Metric Tensors for Flow Surface Visualization

Harald Obermaier, Kenneth I. Joy
2012 IEEE Transactions on Visualization and Computer Graphics  
Visualizations of the inverse metric tensor field of a flow surface in surface parameter space (left and right) gives an overview of surface stretching.  ...  such as shearing and stretching that is central to the field of continuum mechanics.  ...  ACKNOWLEDGMENTS This work was supported in part by the National Science Foundation under contracts IIS 0916289 and IIE 1018097, and the Office of Advanced Scientific Computing Research, Office of Science  ... 
doi:10.1109/tvcg.2012.211 pmid:26357122 fatcat:q7k7u2swkvfldktf6msflm23na

Injury of optic radiation and visual field defect in a patient with aneurysmal subarachnoid hemorrhage

Sung Ho Jang, Jeong Pyo Seo
2017 Medicine  
In the current study, we report on a patient who showed a visual field defect and injury of the OR following aneurysmal SAH, using diffusion tensor tractography (DTT).  ...  Lessons: Injury of the OR was demonstrated in a patient with a visual field defect following aneurysmal SAH, using DTT.  ...  (B) The Humphrey visual field test of the patients shows a peripheral field defect in both eyes.  ... 
doi:10.1097/md.0000000000007356 pmid:28723747 pmcid:PMC5521887 fatcat:wtmbpo4jazgljmsniwo5w22t2a

Coherent Structures of Characteristic Curves in Symmetric Second Order Tensor Fields

M Hlawatsch, J E Vollrath, F Sadlo, D Weiskopf
2011 IEEE Transactions on Visualization and Computer Graphics  
As the major application of this generalization, we present a semi-global method for visualizing coherent structures in symmetric second order tensor fields.  ...  This paper generalizes the concept of Lagrangian coherent structures, which is known for its potential to visualize coherent regions in vector fields and to distinguish them from each other.  ...  The authors would like to thank the German Research Foundation (DFG) for financial support of the project within the Cluster of Excellence in Simulation Technology (EXC 310/1) at Universität Stuttgart.  ... 
doi:10.1109/tvcg.2010.107 pmid:20733229 fatcat:gm5i3wqajbfylmwzbznrewo6ve

Vorticity visualization: phantom study for a new discriminant parameter in US elastography

D. Sosa-Cabrera, M. A. Rodriguez-Florido, E. Suarez-Santana, Juan Ruiz-Alzola, Stanislav Y. Emelianov, Stephen A. McAleavey
2007 Medical Imaging 2007: Ultrasonic Imaging and Signal Processing  
Funding was provided by the Spanish Ministry of Science and Technology (TEC-2004-06647-C03-02), the European NoE SIMILAR FP6-507609 and for the second and third author, cofunded by MEC and Social European  ...  In this paper we present the theory and procedure to assess the rotation of the tumor by visualizing the vorticity image aided with the strain tensor field as an effort to better determine the tumor infiltration  ...  DISCUSSION The decomposition of the displacement gradient matrix in the strain tensor and the vorticity yields to the tensor visualization of the first and the scalar representation of the second.  ... 
doi:10.1117/12.709251 fatcat:fuanexyewnd5hizvbnc3wfbzwi

Interaction of Light and Tensor Fields [article]

Xiaoqiang Zheng, Alex Pang
2003 EUROVIS 2005: Eurographics / IEEE VGTC Symposium on Visualization  
The tensor is visualized by both the nature of the bent rays and by the collection of rays deposited on a receiving plate.  ...  We present three new ways of looking at tensor volumes. All three methods are based on the interaction of simulated light and the tensor field.  ...  ACKNOWLEDGEMENTS We would like to thank members of the Advanced Visualization and Interactive Systems laboratory at UCSC for some utility code to get the project started.  ... 
doi:10.2312/vissym/vissym03/157-166 fatcat:u7h4t6lswjf65e6uwqwry4pvcq

The visualization of myocardial strain for the improved analysis of cardiac mechanics

Burkhard C. Wünsche, Richard Lobb, Alistair A. Young
2004 Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Austalasia and Southe East Asia - GRAPHITE '04  
We obtain new insight into the mechanics of the healthy and the diseased left ventricle and we facilitate the understanding of the complex deformation of the heart muscle by novel visualizations.  ...  An improved understanding of cardiac mechanics is necessary to advance the diagnosis and treatment of heart diseases.  ...  Richard White of the Cleveland Clinic, Cleveland, Ohio, USA, who kindly provided the tagged MRI data of a left ventricle diagnosed with dilated cardiomyopathy.  ... 
doi:10.1145/988834.988850 dblp:conf/graphite/WunscheLY04 fatcat:qyafzk2vyzgy7i4ubuwjem7tzy

Computational Mechanics: Where Is It Going? [chapter]

Ivo Babuška, J. Tinsley Oden
2001 Mathematics Unlimited — 2001 and Beyond  
Acknowledgments This work was supported in part by awards from the Department of Energy, the National Institutes of Health NCRR Program, and the National Science Foundation.  ...  In our opinion, an area ripe for research is what we will term "multi-field" visualization in which a scientist could visualize combinations of the above fields in such a way as to see the interactions  ...  This is the approach taken in Figure 7 , which visualizes half of a diffusion tensor volume from a human brain.  ... 
doi:10.1007/978-3-642-56478-9_2 fatcat:ua444bg7lvh53ehcsy36rka7su
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