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Issue No.06 - November/December (2010 vol.16)
pp: 1243-1250
Special relativistic visualization offers the possibility of experiencing the optical effects of traveling near the speed of light, including apparent geometric distortions as well as Doppler and searchlight effects. Early high-quality computer graphics images of relativistic scenes were created using offline, computationally expensive CPU-side 4D ray tracing. Alternate approaches such as image-based rendering and polygon-distortion methods are able to achieve interactivity, but exhibit inferior visual quality due to sampling artifacts. In this paper, we introduce a hybrid rendering technique based on polygon distortion and local ray tracing that facilitates interactive high-quality visualization of multiple objects moving at relativistic speeds in arbitrary directions. The method starts by calculating tight image-space footprints for the apparent triangles of the 3D scene objects. The final image is generated using a single image-space ray tracing step incorporating Doppler and searchlight effects. Our implementation uses GPU shader programming and hardware texture filtering to achieve high rendering speed.
Poincare transformation, aberration of light, Doppler effect, illumination, searchlight effect, special relativity, GPU ray tracing
Thomas Müller, Sebastian Grottel, Daniel Weiskopf, "Special Relativistic Visualization by Local Ray Tracing", IEEE Transactions on Visualization & Computer Graphics, vol.16, no. 6, pp. 1243-1250, November/December 2010, doi:10.1109/TVCG.2010.196
[1] The Milky Way panorama is by ESO/S. Brunier.
[2] According to private communications with A. Hanson, there is even earlier unarchived and unpublished software for special relativistic rendering.
[3] Website providing the Tie-Fighter, Tie-Defender, and Tie-Interceptor like 3D meshes, meshesmeshes.htm.
[4] C. Betts, Fast rendering of relativistic objects. The Journal of Visualization and Computer Animation, 9 (1): 17–31, 1998.
[5] 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.
[6] G. Gamow, Mr. Tompkins in Wonderland. University Press, Cambridge, 1939.
[7] J.-D. Gascuel, N. Holzschuch, G. Fournier, and B. Peroche, Fast nonlinear projections using graphics hardware. In I3D '08: Proceedings of the 2008 Symposium on Interactive 3D Graphics and Games, pages 107–114, 2008.
[8] W. Gekelman, J. Maggs, and L. Xu, Real-time relativity. Computers in Physics, 5 (4): 372–385, July/Aug. 1991.
[9] S. Gumhold, Splatting illuminated ellipsoids with depth correction. In Proceedings of 8th International Fall Workshop on Vision, Modelling and Visualization, pages 245–252, 2003.
[10] P.-K. Hsiung and R. H.P. Dunn, Visualizing relativistic effects in space-time. In Proceedings of Supercomputing '89, pages 597–606, 1989.
[11] P.-K. Hsiung and R. H. Thibadeau, Spacetime visualization of relativistic effects. In Proceedings of the 1990 ACM Eighteenth Annual Computer Science Conference, pages 236–43, 1990.
[12] P.-K. Hsiung, R. H. Thibadeau, and M. Wu, T-buffer: Fast visualization of relativistic effects in spacetime. Computer Graphics, 24 (2): 83–88, Mar. 1990.
[13] U. Kraus, H. Ruder, D. Weiskopf, and C. Zahn, Was Einstein noch nicht sehen konnte. Schnelle Computer visualisieren relativistische Effekte. Physik Journal, 1 (7/8): 77–83, Jul. 2002.
[14] A. Lampa, Wie erscheint nach der Relativitatstheorie ein bewegter Stab einem ruhenden Beobachter? Zeitschrift fur Physik, 27: 138–148, 1924.
[15] J. Li, H.-Y. Shum, and Q. Peng, An improved spacetime ray tracing system for the visualization of relativistic effects. In Eurographics 2001 Short Presentations, 2001.
[16] R. Penrose, The apparent shape of a relativistically moving sphere. Mathematical Proceedings of the Cambridge Philosophical Society, 55: 137–139, 1959.
[17] C. Poynton, Digital Video and HDTV Algorithms and Interfaces. Morgan Kaufmann Publishers Inc., San Francisco, CA, USA, 2003. The primary chromaticities of the Rec. 709 standard read: xR = 0.64, yR = 0.33, xG = 0.3, yX = 0.6, xB = 0.15, yB = 0.06, xw,D65 = 0.3127, yw,D65 = 0.3290.
[18] G. Reina and T. Ertl, Hardware-accelerated glyphs for mono- and dipoles in molecular dynamics visualization. In Proceedings of EUROGRAPHICS - IEEE VGTC Symposium on Visualization Eurovis '05, pages 177–182, 2005.
[19] W. Rindler, Relativity – Special, General and Cosmology. Oxford University Press, 2001.
[20] C. Savage, D. McGrath, T. McIntyre, M. Wegener, and M. Williamson, Teaching physics using virtual reality. arXiv: 0910.5776v1 [physics.ed-ph], 2009.
[21] C. M. Savage, A. Searle, and L. McCalman, Real time relativity: exploratory learning of special relativity. American Journal of Physics, 75: 791–798, 2007.
[22] G. D. Scott and H. J. van Driel, Geometrical appearances at relativistic speeds. American Journal of Physics, 38: 971–977, 1970.
[23] G. D. Scott and M. R. Viner, The geometrical appearance of large objects moving at relativistic speeds. American Journal of Physics, 33: 534–536, 1965.
[24] E. F. Taylor, Space-time software: Computer graphics utilities in special relativity. American Journal of Physics, 57: 508–514, 1989.
[25] J. Terrell, Invisibility of the Lorentz contraction. Physical Review, 116 (4): 1041–1045, Nov. 1959.
[26] D. Weiskopf, Visualization of Four-Dimensional Spacetimes. PhD thesis, Eberhard-Karls-Universitat Tubingen, 2001. http://nbn-resolving.deurn:nbn:de:bsz:21-opus-2400.
[27] D. Weiskopf, M. Borchers, T. Ertl, M. Falk, O. Fechtig, R. Frank, F. Grave, P. Jezler, A. King, U. Kraus, T. Muller, H.-P. Nollert, I. Rica Mendez, H. Ruder, T. Schafhitzel, C. Zahn, and M. Zatloukal, Explanatory and illustrative visualization of special and general relativity. IEEE Transactions on Visualization and Computer Graphics, 12 (4): 522–534, 2006.
[28] D. Weiskopf, D. Kobras, and H. Ruder, Real-world relativity: Image-based special relativistic visualization. In Proceedings of the IEEE Visualization 2000 Conference, pages 303–310, 2000.
[29] 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 on Graphics, 17 (3): 278–292, Jul. 1999.
[30] V. F. Weisskopf, The visual appearance of rapidly moving objects. Physics Today, 13 (9): 24–27, Sept. 1960.
[31] G. Wyszecki and W. Stiles, Color Science - Concepts and Methods, Quantitative Data and Formulae. Wiley Classics Library, 2000.
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