Hongwei Li and Chi-Wing Fu and Yinggang Li and Andrew J. Hanson.
"Visualizing Large-Scale Uncertainty in Astrophysical Data".
In IEEE Transactions on Visualization and Computer Graphics, vol. 13,no. 6, pp. 1640-1647 , 2007.


Links:

Abstract:

Visualization of uncertainty or error in astrophysical data is seldom available in simulations of astronomical phenomena, and yet almost all rendered attributes possess some degree of uncer tainty due to obser vational error. Uncertainties associated with spatial location typically vary significantly with scale and thus introduce further complexity in the interpretation of a given visualization. This paper introduces effective techniques for visualizing uncertainty in large-scale virtual astrophysical environments. Building upon our previous transparently scalable visualization architecture, we develop tools that enhance the perception and comprehension of uncertainty across wide scale ranges. Our methods include a unified color-coding scheme for representing log-scale distances and percentage errors, an ellipsoid model to represent positional uncertainty, an ellipsoid envelope model to expose trajectory uncertainty, and a magic-glass design supporting the selection of ranges of log-scale distance and uncertainty parameters, as well as an over view mode and a scalable WIM tool for exposing the magnitudes of spatial context and uncertainty.

Bibtex:

@Article{        li:2007:LSUA,
  author = 	 {Hongwei Li and Chi-Wing Fu and Yinggang Li and
                  Andrew J. Hanson},
  title = 	 {Visualizing Large-Scale Uncertainty in
                  Astrophysical Data},
  journal = 	 {IEEE Transactions on Visualization and Computer
                  Graphics},
  year = 	 {2007},
  volume = 	 {13},
  number = 	 {6},
  pages = 	 {1640-1647 },
}

Images:

References:

D. A.C. and L. S.K., Catalogue of Constellation Boundary Data, 1989. This provides data for the revised edition of "Norton's Star Atlas.".
Wolfgang Aigner , Silvia Miksch , Bettina Thurnher , Stefan Biffl, PlanningLines: Novel Glyphs for Representing Temporal Uncertainties and Their Evaluation, Proceedings of the Ninth International Conference on Information Visualisation, p.457-463, July 06-08, 2005 [doi>10.1109/IV.2005.97]
G. V. G. Baranoski, J. G. Rokne, P. Shirley, T. Trondsen, and R. Bastos, Simulating the Aurora Borealis. In Proc. of Pacific Graphics 2000, pages 2-14, Oct. 2000.
M. Barbier-Brossat and P. Figon, Catalogue g\`{e}n\`{e}ral de vitesses radiales moyennes pour les \`{e}toiles galactiques. Mean radial velocities catalog of galactic stars. Astronomy and Astrophysics Supplement Series, 142: 217-223, Mar. 2000. Available at http://cdsweb.u-strasbg.fr/cats/Cats.htx.
Eric A. Bier , Maureen C. Stone , Ken Pier , William Buxton , Tony D. DeRose, Toolglass and magic lenses: the see-through interface, Proceedings of the 20th annual conference on Computer graphics and interactive techniques, p.73-80, August 02-06, 0093, Anaheim, CA [doi>10.1145/166117.166126]
R. P. Botchen, D. Weiskopf, and T. Ertl, Texture-based visualization of uncertainty in flow fields. In Proc. of IEEE Visualization 2005, pages 647-654, 2005.
Andrej Cedilnik , Penny Rheingans, Procedural annotation of uncertain information, Proceedings of the conference on Visualization '00, p.77-83, October 2000, Salt Lake City, Utah, United States
A. N. Cox, Allen's Astrophysical Quantities. Springer/Verlag, 2000.
S. Djurcilov, K. Kim, P. F. J. Lermusiaux, and A. T. Pang, Volume rendering data with uncertainty information. In Data Visualization 2001, pages 243-252. Springer Verlag, 2001. Proc. of the Joint EUROGRAPHICS and IEEE TCVG Symp. on Visualization.
Charles R. Ehlschlaeger , Ashton M. Shortridge , Michael F. Goodchild, Visualizing spatial data uncertainty using animation, Computers & Geosciences, v.23 n.4, p.387-395, May 1997 [doi>10.1016/S0098-3004(97)00005-8]
C. Emmart, D. R. Nadeau, J. Genetti, and E. Wesselak, Volume Visualization of the Orion Nebula, 2000. SIGGRAPH 2000 Electronic Theatre, Issue 134: http://vis.sdsc.edu/research/orion.html.
European Space Agency. The Hipparcos and Tycho Catalogues, ESA SP-1200, 1997. Available at http://www.rssd.esa.int/Hipparcos/catalog.html.
Chi-Wing Fu , Andrew J. Hanson, A Transparently Scalable Visualization Architecture for Exploring the Universe, IEEE Transactions on Visualization and Computer Graphics, v.13 n.1, p.108-121, January 2007 [doi>10.1109/TVCG.2007.2]
Jon Genetti, Volume-rendered galactic animations, Communications of the ACM, v.45 n.11, p.62-66, November 2002 [doi>10.1145/581571.581574]
Gevorg Grigoryan , Penny Rheingans, Probabilistic surfaces: point based primitives to show surface uncertainty, Proceedings of the conference on Visualization '02, October 27-November 01, 2002, Boston, Massachusetts
Gevorg Grigoryan , Penny Rheingans, Point-Based Probabilistic Surfaces to Show Surface Uncertainty, IEEE Transactions on Visualization and Computer Graphics, v.10 n.5, p.564-573, September 2004 [doi>10.1109/TVCG.2004.30]
A. J. Hanson and C.-W. Fu, Cosmic Clock, 2000. Siggraph Video Review, vol. 134, scene 5.
A. J. Hanson, C.-W. Fu, and P. C. Frisch, Constraint-based astronometric modeling tools. In G. Brunnett, B. Hamann, and H. Mueller, editors, Geometric Modeling for Scientific Visualization, pages 437-452. Springer-Verlag, 2003.
A. J. Hanson, C.-W. Fu, and E. A. Wernert, Visualizing cosmological time. In F. H. Post, G. M. Nielson, and G.-P. Bonneau, editors, Data Visualization: The State of the Art, pages 423-438. Kluwer academic publishers, May 21-26, 2000, Dagstuhl, DE, 2003.
Matthias Hopf , Michael Luttenberger , Thomas Ertl, Hierarchical Splatting of Scattered 4D Data, IEEE Computer Graphics and Applications, v.24 n.4, p.64-72, July 2004 [doi>10.1109/MCG.2004.7]
Victoria Interrante, Harnessing Natural Textures for Multivariate Visualization, IEEE Computer Graphics and Applications, v.20 n.6, p.6-11, November 2000 [doi>10.1109/MCG.2000.888001]
Henrik Wann Jensen , Fr\`{e}do Durand , Julie Dorsey , Michael M. Stark , Peter Shirley , Simon Premo\~{z}e, A physically-based night sky model, Proceedings of the 28th annual conference on Computer graphics and interactive techniques, p.399-408, August 2001 [doi>10.1145/383259.383306]
Chris Johnson, Top Scientific Visualization Research Problems, IEEE Computer Graphics and Applications, v.24 n.4, p.13-17, July 2004 [doi>10.1109/MCG.2004.20]
Chris R. Johnson , Allen R. Sanderson, A Next Step: Visualizing Errors and Uncertainty, IEEE Computer Graphics and Applications, v.23 n.5, p.6-10, September 2003 [doi>10.1109/MCG.2003.1231171]
H. L. Johnson and W. W. Morgan, Fundamental stellar photometry for standards of spectral type on the revised system of the Yerkes spectral atlas. The Astrophysical Journal, 117: 313-352, 1953.
Ralf K\"{a}hler , Donna Cox , Robert Patterson , Stuart Levy , Hans Christian Hege , Tom Abel, Rendering the first star in the universe: a case study, Proceedings of the conference on Visualization '02, October 27-November 01, 2002, Boston, Massachusetts
J. M. Kniss, R. V. Uitert, A. Stephens, G.-S. Li, T. Tasdizen, and C. Hansen, Statistically quantitative volume visualization. In Proc. of IEEE Visualization 2005, pages 287-294, 2005.
Eric LaMar , Bernd Hamann , Kenneth I. Joy, A Magnification Lens for Interactive Volume Visualization, Proceedings of the 9th Pacific Conference on Computer Graphics and Applications, p.223, October 16-18, 2001
Yinggang Li , Chi-Wing Fu , Andrew Hanson, Scalable WIM: Effective Exploration in Large-scale Astrophysical Environments, IEEE Transactions on Visualization and Computer Graphics, v.12 n.5, p.1005-1012, September 2006 [doi>10.1109/TVCG.2006.176]
Suresh K. Lodha , Alex Pang , Robert E. Sheehan , Craig M. Wittenbrink, UFLOW: visualizing uncertainty in fluid flow, Proceedings of the 7th conference on Visualization '96, p.249-ff., October 28-29, 1996, San Francisco, California, United States
Suresh K. Lodha , Bob Sheehan , Alex T. Pang , Craig M. Wittenbrink, Visualizing geometric uncertainty of surface interpolants, Proceedings of the conference on Graphics interface '96, p.238-245, May 1996, Toronto, Ontario, Canada
Suresh K. Lodha , Catherine M. Wilson , Robert E. Sheehan, LISTEN: sounding uncertainty visualization, Proceedings of the 7th conference on Visualization '96, p.189-ff., October 28-29, 1996, San Francisco, California, United States
Alison L. Love , Alex Pang , David L. Kao, Visualizing Spatial Multivalue Data, IEEE Computer Graphics and Applications, v.25 n.3, p.69-79, May 2005 [doi>10.1109/MCG.2005.71]
M. Magnor, K. Hildebrand, A. Lintu, and A. J. Hanson, Reflection nebula visualization. In IEEE Visualization 2005, pages 255-262, Oct. 2005.
Marcus Magnor , Gordon Kindlmann , Charles Hansen, Constrained Inverse Volume Rendering for Planetary Nebulae, Proceedings of the conference on Visualization '04, p.83-90, October 10-15, 2004 [doi>10.1109/VISUAL.2004.18]
Jameson Miller , Cory Quammen , Matthew Fleenor, Interactive Visualization of Intercluster Galaxy Structures in the Horologium-Reticulum Supercluster, IEEE Transactions on Visualization and Computer Graphics, v.12 n.5, p.1149-1156, September 2006 [doi>10.1109/TVCG.2006.155]
D. R. Nadeau, J. D. Genetti, S. Napear, B. Pailthorpe, C. Emmart, E. Wesselak, and D. Davidson, Visualizing Stars and Emission Nebulae. Computer Graphics Forum, 20 (1): 27-33, Mar. 2001. Also in Eurographics 2000 (short presentations).
Chris Olston , Jock D. Mackinlay, Visualizing Data with Bounded Uncertainty, Proceedings of the IEEE Symposium on Information Visualization (InfoVis'02), p.37, October 28-29, 2002
Jeremiah P. Ostriker , Michael L. Norman, Cosmology of the early universe viewed through the new infrastructure, Communications of the ACM, v.40 n.11, p.84-94, Nov. 1997 [doi>10.1145/265684.265695]
A. T. Pang, C. M. Wittenbrink, and S. K. Lodha, Approaches to uncertainty visualization. The Visual Computer, 13 (8): 370-390, Nov. 1997.
M. Perryman et al., editor. The Hipparcos and Tycho Catalogues. ESA Publications Division, The Netherlands, 1997.
P. Rheingans and S. Joshi, Visualization of molecules with positional uncertainty. In Proc. of Data Visualization 1999, pages 299-306, 1999.
P. J. Rhodes, R. S. Laramee, R. D. Bergeron, and T.M. Sparr, Uncertainty visualization methods in isosurface rendering. In EUROGRAPHICS 2003 Short Papers, pages 83-88, Sep. 2003.
J. A. Rice, Mathematical Statistics and Data Analysis. Duxbury Press, 1994. 2nd edition.
Allen R. Sanderson , Chris R. Johnson , Robert M. Kirby, Display of Vector Fields Using a Reaction-Diffusion Model, Proceedings of the conference on Visualization '04, p.115-122, October 10-15, 2004 [doi>10.1109/VISUAL.2004.25]
Maria Sifniotis , Ben Jackson , Martin White , Katerina Mania , Phil Watten, Visualising uncertainty in archaeological reconstructions: a possibilistic approach, ACM SIGGRAPH 2006 Sketches, July 30-August 03, 2006, Boston, Massachusetts [doi>10.1145/1179849.1180049]
B. N. Taylor and C. E. Kuyatt, Guidelines for evaluating and expressing the uncertainty of NIST measurement results, 1994. Technical report, National Institute of Standards and Technology Technical Note 1297, Gaithersburg, MD, 1994 Edition.
Colin Ware, Information Visualization: Perception for Design, Morgan Kaufmann Publishers Inc., San Francisco, CA, 2004
Craig M. Wittenbrink , Alex T. Pang , Suresh K. Lodha, Glyphs for Visualizing Uncertainty in Vector Fields, IEEE Transactions on Visualization and Computer Graphics, v.2 n.3, p.266-279, September 1996 [doi>10.1109/2945.537309]
Joseph D. Wood , Peter F. Fisher, Assessing Interpolation Accuracy in Elevation Models, IEEE Computer Graphics and Applications, v.13 n.2, p.48-56, March 1993 [doi>10.1109/38.204967]