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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
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 Calcomp, unpublished. 1985-86 |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
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