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~References & Notes~
05/23/04
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6.0 People

The Major Players in Relativistic Visualization (alphabetical):

1. Benger, Werner: Light++ Raytracer (Circa 1995) Raytracing using hyperbolic light paths (1992)

2. Hale, Mark : School of Mathematical Sciences, Queen Mary University of London

3. Hamilton, Andrew: The Lorentz Contracted Cartwheel animation courtesy of Andrew Hamilton, from the Center for Astrophysics and Space Astronomy, U of Colo - Boulder.

4. Hanson, Andrew : Computer Science Department, Indiana University, Bloomington.

5. Hollasch, Steve. Four-Space Visualization of 4D Objects (Master's Thesis)

6. Weiskopf, Daniel: General Relativity - rigidly rotating disk of dust, courtesy of Daniel Weiskopf of the Universität Stuttgart (University of Stuttgart) and Institute of Astronomy and Astrophysics, Tübingen

7. Zahn, Corvin: The four bicycle tire Rolling Wheels animations (Rollende Räder) are courtesy of Corvin Zahn, of the Institute of Astronomy and Astrophysics, Tübingen.

Additional rigid-disk or 'cartwheel', and other relativistic visualizations can be found in Germany at the Institute of Astronomy and Astrophysics, Tübingen

 

Acronyms

GR      General Relativity
MCRF   Momentary Comoving Reference Frame
QCD   Quantum Chromo Dynamics
QED   Quantum Electro Dynamics
SR   Special Relativity
SRV   Special Relativistic Visualization
     

Glossary

Aberration of light
Doppler effect
Gravitmagnetic
Gravitational Thomas Precession (GTP)
Gravitational Lienard Weichart Potenial
Inertial Reference Frame
Lattice - a regular 3D (or 4D) array.
Lienard Weichart Potenial
Lorentz Contraction
Lorentz Metric
Minkowski Metric
Metric
Momentary Comoving Reference Frame (MCRF)
Non-inertial Reference Frame
Retarded Time
Searchlight effect
Space-time
Terrell Rotation
Thomas Precession

References

ID No Year Author Author, Title, Journal, Date
0.85.01 1985 Richard P Feynman The Strange Theory Of Light and Matter
0.02.02 2002 Stephen Wolfram A New Kind Of Science

 

Bibliography

3 Bibliographic Timelines showing the evolution of Visualization

Flat 4D Visualization Timeline: The following published papers are indicative of the activity in this field:

ID No Year Author Author, Title, Journal, Date
1.85.01 1985 Black D.V.Black. Realtime 4D Hypercube Viewing Software. Calcomp, unpublished. 1985-86
1.90.01 1990 Banchoff; T. F. Banchoff. Beyond the third dimension: Geometry, computer graphics, and higher dimensions. Scientific American Library, 1990.
1.90.03 1990 Hanson; A. J. Hanson, P. A. Heng, and B. C. Kaplan. Techniques for visualizing Fermat’s last theorem: A case study. In Proceedings of Visualization 90, pages 97–106, San Francisco, October 1990. IEEE Computer Society Press.
1.91.01 1991 Hanson. Heng; A. J. Hanson and P. A. Heng. Visualizing the fourth dimension using geometry and light. In Proceedings of Visualization '91, pages 321-328. IEEE Computer Society Press, 1991.
1.91.08 1991 Hollasch, Steve S. Hollasch. Four-Space Visualization of 4D Objects, Thesis - Arizona State University, 1991
1.92.02 1992 Hanson. Heng; A. J. Hanson and P. A. Heng. Four-dimensional views of 3D scalar fields. In Proceedings of Visualization ’92, pages 84– 91. IEEE Computer Society Press, 1992.
1.92.03 1992 Hanson; A. J. Hanson and P. A. Heng. Illuminating the fourth dimension. Computer Graphics and Applications, 12(4):54–62, July 1992.
1.93.02 1993 Hanson. Cross; A. J. Hanson and R. A. Cross. Interactive visualization methods for four dimensions. In Proceedings of Visualization ’93, pages 196–203. IEEE Computer Society Press, 1993.
1.93.04 1993 Hanson; Andrew J. Hanson. knotˆ4. Video animation of knotted spheres in four dimensions. Published in Siggraph Video Review 93, Scene 1 (1993).
1.94.01 1994 Hanson; A. J. Hanson. Geometry for n-dimensional graphics. In Paul Heckbert, editor, Graphics Gems IV, pages 149-170. Academic Press, Cambridge, MA, 1994.
1.95.03 1995 Hanson; A. J. Hanson. Rotations for n-dimensional graphics. In Alan Paeth, editor, Graphics Gems V, pages 55–64. Academic Press, Cambridge, MA, 1995.
1.95.05 1995 Hanson. Ma; A. J. Hanson and H. Ma. Space walking. In Proceedings of Visualization ’95, pages 126–133. IEEE Computer Society Press, 1995.
2.00.02 2000 D'Zmura; Visualization of events from arbitrary spacetime perspectives. In Erbacher, R.F., Chen, P.C., Roberts, J.C. & Wittenbrink, C.M. (Eds.) Visual Data Exploration and Analysis VII 3860, 35-40
2.01.01 2001 D'Zmura D'Zmura, M., Colantoni, P. & Seyranian, G. (2001). Virtual environments with four or more spatial dimensions. Presence 9, 616-631.

 

Special Relativistic Visualization Timeline: A list of published papers, indicative of the state-of-the-art activity in the field of SR Visualization is provided below.


ID No Year Author Author, Title, Journal, Date
1.59.02 1959 Terrel; J. Terrell. Invisibility of the Lorentz contraction. Physical Review, 116(4):1041–1045, Nov. 1959.
1.70.01 1970 Scott; Driel; G. D. Scott and H. J. van Driel. Geometrical appearances at relativistic speeds. American Journal of Physics, 38(8):971–977, Aug. 1970.
1.88.02 1988 Glassner, Andrew S. Glassner, Andrew S., "Spacetime Ray Tracing for Animation ", IEEE Computer Graphics and Applications, vol. 8 no. 2, pp. 60--70, March 1988. 2
1.89.01 1989 Hsiung;Dunn; P.-K. Hsiung and R. H. P. Dunn. Visualizing relativistic effects in spacetime. In Proceedings of Supercomputing ’89 Conference, pages 597–606, 1989.
1.90.02 1990 Hsiung;Thibadeau;Cox;Dunn; P.-K. Hsiung, R.H. Thibadeau, C.B. Cox and R.H.P. Dunn, Time Dilation Visualization in Relativity, In Proceedings of the Supercomputing '90 Conference, pages 835-844, 1990.
1.90.06 1990 Hsiung;Thibadeau;Cox;Dunn;Wu;Olbrich; P.-K. Hsiung, R.H. Thibadeau, C.B. Cox, R.H.P. Dunn, M. Wu and P.A. Olbrich, Wide-Band Relativistic Doppler Effect Visualization, In Proceedings of the Visualization '90 Conference, pages 83-92, Oct. 1990.
1.90.08 1990 Hsiung; Thibadeau; Wu; P.-K. Hsiung, R.H. Thibadeau and M. Wu, T-Buffer: Fast visualization of Relativistic Effects in Spacetime, Computer Graphics (1990 Symposium on Interactive 3D Graphics), 24 (2): (1990), 83-88.
1.90.09 1990 Hsiung; Thibadeau; Cox; Dunn; P.-K. Hsiung, R. H. Thibadeau, C. B. Cox, and R. H. P. Dunn. Time dilation visualization in relativity. In Proceedings of the Supercomputing ’90 Conference, pages 835–844, 1990.
1.90.10 1990 Hsiung;Thibadeau; P-K Hsiung, R.H. Thibadeau. Spacetime Visualization of Relativistic Effects. Proceedings of the 1990 ACM annual conference on Cooperation, p.236-243.
1.90.11 1990 Hsiung; Thibadeau; Cox; Dunn; Wu; Olbrich; P-K Hsiung, R.H Thibadeau. Wide-band Relativistic Doppler Effect Visualization. In Visualization 90, Oct. 1990. Carnegie Mellon University
1.91.04 1991 Gekelman; Maggs; Xu; W. Gekelman, J. Maggs, and L. Xu. Real-time relativity. Computers in Physics, 5(4):372–385, July/Aug. 1991.
1.96.01 1996 Chang; Lai; Chen; M.-C. Chang, F. Lai, and W.-C. Chen. Image shading taking into account relativistic effects. ACM Transactions on Graphics, 15(4):265–300, Oct. 1996.
1.97.05 1997 Rau; Scientific Visualization (Relativistic Flights)
1.97.06 1997 Weiskopf. Ruder; . Rau, D. Weiskopf, and H. Ruder, Special Relativity in Virtual Reality, VisMath '97
1.97.14 1997 Searle; A.C. Searle. SOFTWARE: Backlight Ray Tracing. Download.
1.98.03 1998 Weiskopf. Ruder; R. Rau, D. Weiskopf, and H. Ruder, Special Relativity in Virtual Reality, Mathematical Visualization, H.-C. Hege, K. Polthier (eds.), Springer-Verlag 1998, 269-279.
1.98.04 1998 Betts; C. Betts. Fast rendering of relativistic objects. The Journal of Visualization and Computer Animation, 9(1):17–31, 1998.
1.98.05 1998 Weiskopf; D. Weiskopf. Speed limit 1 079 252 849 km/h. Video shown at the Computer Animation Festival ’98, GI Jahrestagung, Magdeburg, 1998.
1.98.06 1998 Searle C.M. Savage and A.C. Searle. Visualizing Special Relativity.
1.99.02 1999 Weiskopf. Ruder; D. Weiskopf, U. Kraus, and H. Ruder, Searchlight and Doppler Effects in the Visualization of Special Relativity: A Corrected Derivation of the Transformation of Radiance, ACM Transactions of Graphics, Vol. 18, No. 3, July 1999, 278-292.
1.99.03 1999 Weiskopf; D. Weiskopf, A Texture Mapping Approach for the Visualization of Special Relativity, IEEE Visualization '99 Late Breaking Hot Topics Proceedings, A. Varshney, C.M. Wittenbrink, H. Hagen (eds.), ACM Press, October 1999, 41-44.
1.99.04 1999 Weiskopf; D. Weiskopf, An Immersive Virtual Environment for Special Relativity, SFB 382 - Report 108, University of Tübingen, January 1999.
1.99.05 1999 Larson; C. Clark, W. A. Hiscock, and S. L. Larson. Null geodesics in the Alcubierre warp-drive: The view from the bridge. Classical and Quantum Gravity, 16:3965– 3972, 1999.
2.00.05 2000 Weiskopf. Ruder; D. Weiskopf, D. Kobras, H. Ruder, An Image-Based Approach to Special Relativistic Rendering, SFB 382 - Report 145, University of Tübingen, March 2000
2.00.06 2000 Weiskopf. Kobras. Ruder; D. Weiskopf, D. Kobras, and H. Ruder, Real-World Relativity: Image-Based Special Relativistic Visualization, IEEE Visualization 2000 Proceedings, T. Ertl, B. Hamann, A. Varshney (eds.), ACM Press, October 2000, 303-310.
2.00.07 2000 Weiskopf. Ruder; D. Weiskopf, D. Kobras, and H.Ruder. Real-world relativity: Image-based special relativistic visualization. In IEEE Visualization 2000 Proceedings, pages 445–448, October 2000.
2.00.09 2000 Weiskopf; D. Weiskopf, An Immersive Virtual Environment for Special Relativity, WSCG Conference Proceedings, V. Skala (ed.), University of West Bohemia, Pilsen, February 2000, 337-344.
2.00.10 2000 Weiskopf; D. Weiskopf, Fast Visualization of Special Relativistic Effects on Geometry and Illumination, Data Visualization 2000 (Proceedings of the EG/IEEE TCVG Symposium on Visualization), W. de Leeuw, R. van Liere (eds.), Springer 2000, Wien, 219-228.
2.00.11 2000 Kraus; U. Kraus. Brightness and colour of rapidly moving objects: The visual appearance of a large sphere revisited. American Journal of Physics, 68(1):56–60, 2000.
2.00.12 2000 Weiskopf; D. Weiskopf. Fast visualization of special relativistic effects on geometry and illumination. In Proceedings of EG/IEEE TCVG Symposium on Visualization 2000, pages 219–228, 2000.
2.01.05 2001 Weiskopf; D. Weiskopf. Visualization of Four-Dimensional Spacetimes, Disseration, University of Tübingen, 2001

 

General Relativistic Visualization Timeline: A list of published papers, indicative of the state-of-the-art activity in the field of GR Visualization is provided below.


ID No Year Author Author, Title, Journal, Date
1.89.02 1989 Ruder. Kraus; H.-P. Nollert, H. Ruder, H. Herold, and U. Kraus. The relativistic “looks” of a neutron star. Astronomy and Astrophysics, 208:153, 1989.
1.89.03 1989 Ertl. Ruder. Zeller; T. Ertl, F. Geyer, H. Herold, U. Kraus, R. Niemeier, H.-P. Nollert, A. Rebetzky, H. Ruder, and G. Zeller. Visualization in astrophysics. In Eurographics ’89 Proceedings, pages 149–158, 1989.
1.92.01 1992 Benger; Benger, Werner: Raytracing using hyperbolic light paths (1992)
1.92.04 1992 Bryson; S. Bryson. Virtual spacetime: An environment for the visualization of curved spacetimes via geodesic flows. In Proceedings of the IEEE Visualization ’92 Conference, pages 291–298, 1992.
1.92.05 1992 Falco; P. Schneider, J. Ehlers, and E. E. Falco. Gravitational Lenses. Springer, Berlin, 1992.
1.93.01 1993 Benger; Benger, Werner: Simulation of a Black Hole by Raytracing
1.93.06 1993 Nemiroff; R.J. Nemiroff, Visual Distortions Near a Black Hole and Neutron Star, American Journal of Physics, 61(7), 619-632, July 1993
1.94.05 1994 Cornish; C. P. Dettmann, N. E. Frankel, and N. J. Cornish. Fractal basins and chaotic trajectories in multi-black hole space-times. Physical Review D, 50:618–621, 1994.
1.95.06 1995 Groller; E. Groller. Nonlinear ray tracing: Visualizing strange worlds. The Visual Computer, 11(5):263–276, 1995.
1.95.07 1995 Meinel; G. Neugebauer and R. Meinel. General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions. Physical Review Letters, 75:3046, 1995.
1.96.02 1996 Ruder; H.-P. Nollert, U. Kraus, and H. Ruder. Visualization in curved spacetimes. I. Visualization of objects via fourdimensional ray-tracing. In F.W. Hehl, R. A. Puntigam, and H. Ruder, editors, Relativity and Scientific Computing, pages 314–329. Springer, 1996.
1.96.03 1996 Herold; H.-P. Nollert and H. Herold. Visualization in curved spacetimes. II. Visualization of surfaces via embedding. In F.W. Hehl, R. A. Puntigam, and H. Ruder, editors, Relativity and Scientific Computing, pages 330– 351. Springer, 1996.
1.97.01 1997 Benger; Benger, Werner;The Black Earth or: The Day, when Earth became a Black Hole
1.97.02 1997 Benger; Benger, Werner; ART - a project for the interactive visualization and exploration of numerically found curved spacetimes
1.97.04 1997 Meinel; R. Meinel. The Rigidly Rotating Disk of Dust and Its Black Hole Limit
1.97.11 1997 Hord; M. J. Pfenning and L. H. Ford. The unphysical nature of “warp drive”. Classical and Quantum Gravity, 14(7):1743–1751, 1997.
1.97.13 1997 Thorne; M. S. Morris and K. S. Thorne. Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity. American Journal of Physics, 56(5):395–412, 1988.
2.00.01 2000 Weiskopf. Ansorg; D. Weiskopf, M. Ansorg, Visualization of the General Relativistic Rigidly Rotating Disk of Dust, Annalen der Physik, 9 (2000) Spec. Issue, 179-185.
2.00.03 2000 Meinel; R. Meinel. Gravitational fields of rotating disks and black holes
2.00.08 2000 Weiskopf; D. Weiskopf, Four-Dimensional Non-Linear Ray Tracing as a Visualization Tool for Gravitational Physics, IEEE Visualization 2000 Proceedings, T. Ertl, B. Hamann, A. Varshney (eds.), ACM Press, October 2000, 445-448.
2.00.14 2000 Weiskopf; D. Weiskopf. Non-linear ray tracing as a visualization tool for gravitational physics. In Proceedings of the IEEE Visualization 2000 Conference, pages 445–448, 2000.
2.00.16 2000 Weiskopf. Ruder; D. Weiskopf, U. Kraus, and H. Ruder. Illumination and acceleration in the visualization of special relativity: A comment on fast rendering of relativistic objects. The Journal of Visualization and Computer Animation, 11(4):185–195, 2000.
2.01.02 2001

Weiskopf. Ruder;

D. Kobras, D. Weiskopf, and H. Ruder, Image-Based Rendering and General Relativity, WSCG Conference Proceedings, V. Skala (ed.), University of West Bohemia, Pilsen, February 2001, 130-137
2.02.02 2002 Weiskopf. Ruder; D. Kobras, D. Weiskopf, and H. Ruder, General Relativistic Image-Based Rendering, The Visual Computer, Vol. 18, No. 4, 2002, 250-258.


Miscellaneous websites about General Relativity Visualization

Weiskopf SR Visualization http://www.tat.physik.uni-tuebingen.de/~weiskopf/gallery/index.html  
Weiskopf general relativity - rigidly rotating disk of dust http://www.tat.physik.uni-tuebingen.de/~weiskopf/gr/disk/rigiddisk.html  
John Baez  Relativity Visualization Websites http://math.ucr.edu/home/baez/RelWWW/visual.html  
Max-Planck-Insitut Visualization in General Relativity http://jean-luc.aei.mpg.de/Viz/  
Stuttgart Visualizing General Relativity http://www.vis.uni-stuttgart.de/eng/research/fields/current/relativity/generalrelativity/  
Werner Benger Raytracing using hyperbolic light paths http://www.photon.at/~werner/relativity.html  
HLRS Visualization of General Relativity http://www.hlrs.de/organization/vis/projects/SFB382/sfb382_d4.html  
Andrew Hamilton Falling Into a Black Hole http://casa.colorado.edu/~ajsh/schw.shtml  
Corvin Zahn Space Time Travel http://www.spacetimetravel.org/  
Zuse Institute Visualization of General Relativistic Data http://www.zib.de/visual/projects/ART/ARTlong.en.html  
Robert Nemiroff Virtual View of a Black Hole http://www.haydenplanetarium.org/hp/vo/ava/avapages/U0614tripbkhl.html  
Not Visual RELATIVITY: bookmarks http://www.phy.syr.edu/research/relativity/RELATIVITY.html  
Rob Salgado The Light Cone http://physics.syr.edu/courses/modules/LIGHTCONE/  
Google Black Holes & Education http://www.google.com/Top/Science/Physics/Relativity/Courses_and_Tutorials/  

 

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