Higher-Order Visualization

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C. Pagot, D. Osmari, F. Sadlo, D. Weiskopf, T. Ertl, J. Comba:

Efficient Parallel Vectors Feature Extraction from Higher-Order Data

Computer Graphics Forum, vol. 30, no. 3, pp. 751–760, 2011.

Abstract

The parallel vectors (PV) operator is a feature extraction approach for defining line-type features such as creases (ridges and valleys) in scalar fields, as well as separation, attachment, and vortex core lines in vector fields. In this work, we extend PV feature extraction to higher-order data represented by piecewise analytical functions defined over grid cells. The extraction uses PV in two distinct stages. First, seed points on the feature lines are placed by evaluating the inclusion form of the PV criterion with reduced affine arithmetic. Second, a feature flow field is derived from the higher-order PV expression where the features can be extracted as streamlines starting at the seeds. Our approach allows for guaranteed bounds regarding accuracy with respect to existence, position, and topology of the features obtained. The method is suitable for parallel implementation and we present results obtained with our GPU-based prototype. We apply our method to higher-order data obtained from discontinuous Galerkin fluid simulations.

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Publications

2017
Reviewed Journal Papers
F. Hempert, S. Boblest, T. Ertl, F. Sadlo, P. Offenhäuser, C. W. Glass, M. Hoffmann, A. Beck, C.-D. Munz, U. Iben:
Simulation of Real Gas Effects in Supersonic Methane Jets Using a Tabulated Equation of State with a Discontinuous Galerkin Spectral Element Method
Computers & Fluids, vol. 145, pp. 167–179, 2017.
Available files: [BibTeX] [DOI] [Details]

2016
Reviewed Conference Papers
S. Boblest, F. Hempert, M. Hoffmann, P. Offenhäuser, M. Sonntag, F. Sadlo, C. W. Glass, C.-D. Munz, T. Ertl, U. Iben:
Toward a Discontinuous Galerkin Fluid Dynamics Framework for Industrial Applications
In Proceedings of High Performance Computing in Science and Engineering 2015, Springer International Publishing, pp. 531–545, 2016.
Available files: [BibTeX] [DOI] [Details]

F. Hempert, S. Boblest, M. Hoffmann, P. Offenhäuser, F. Sadlo, C. W. Glass, C.-D. Munz, T. Ertl, U. Iben:
High-Pressure Real-Gas Jet and Throttle Flow as a Simplified Gas Injector Model Using a Discontinuous Galerkin Method
In Proceedings of High Performance Computing in Science and Engineering 2016, Springer International Publishing, pp. 289–300, 2016.
Available files: [BibTeX] [DOI] [Details]

2015
Book Chapters and Other Publications
T. Bolemann, M. Üffinger, F. Sadlo, T. Ertl, C.-D. Munz:
Direct Visualization of Piecewise Polynomial Data
In IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach, Springer International Publishing, pp. 535–550, 2015.
Available files: [BibTeX] [DOI] [Details]

2014
Book Chapters and Other Publications
S. Boblest, C. W. Glass, P. Offenhäuser, F. Sadlo, M. Hoffmann:
HONK - Higher-Order Methods for the Simulation of Complex Flow Phenomena
Innovatives Supercomputing in Deutschland (inSiDE), Gauss Centre for Supercomputing, vol. 12, no. 2, pp. 67–71, 2014.
Available files: [BibTeX] [PDF]

2013
Reviewed Conference Papers
M. Üffinger, F. Sadlo, C.-D. Munz, T. Ertl:
Toward Wall Function Consistent Interpolation of Flow Fields
In Short Paper Proceedings of EuroVis 2013, pp. 85–89, 2013.
Available files: [BibTeX] [DOI] [PDF] [Details]

Conference Papers with Reviewed Abstract
G. K. Karch, F. Sadlo, H. Songoro, E. Gjonaj, T. Weiland, T. Ertl:
Visualizing Edge-Conforming Discrete Field Quantities in Electromagnetic Field Problems with Interfaces
In Proceedings of ILASS Europe, 25th European Conference on Liquid Atomization and Spray Systems, 2013.
Available files: [BibTeX] [PDF] [Details]

2011
Reviewed Journal Papers
C. Pagot, D. Osmari, F. Sadlo, D. Weiskopf, T. Ertl, J. Comba:
Efficient Parallel Vectors Feature Extraction from Higher-Order Data
Computer Graphics Forum, vol. 30, no. 3, pp. 751–760, 2011.
Available files: [BibTeX] [DOI] [Details]

Reviewed Conference Papers
M. Üffinger, M. A. Schweitzer, F. Sadlo, T. Ertl:
Direct Visualization of Particle-Partition of Unity Data
In Proceedings of International Workshop on Vision, Modeling and Visualization (VMV), pp. 255–262, 2011.
Available files: [BibTeX] [DOI] [PDF] [Details]

C. Pagot, J. Vollrath, F. Sadlo, D. Weiskopf, T. Ertl, J. L. Comba:
Interactive Isocontouring of High-Order Surfaces
In Scientific Visualization: Interactions, Features, Metaphors, Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, pp. 276–291, 2011.
Available files: [BibTeX] [DOI] [PDF] [Details]

Book Chapters and Other Publications
F. Sadlo, M. Üffinger, C. Pagot, D. Osmari, J. Comba, T. Ertl, C.-D. Munz, D. Weiskopf:
Visualization of Cell-Based Higher-Order Fields
Computing in Science and Engineering, vol. 13, no. 3, pp. 84–91, 2011.
Available files: [BibTeX] [DOI] [Details]