Fast Visualization of Special Relativistic Effects on Geometry and Illumination
This paper describes a novel rendering technique for the special relativistic visualization of the geometry and illumination of fast moving objects. The physical basis consists of the relativistic aberration of light, the Doppler effect, and the searchlight effect. They account for changes of apparent geometry, color, and brightness of the objects. The rendering technique makes use of modern Computer graphics hardware, in particular texture mapping and advanced per-pixel Operations, and allows the visualization of these important special relativistic effects at interactive frame rates.
KeywordsLorentz Transformation Texture Mapping Relativistic Transformation Frame Buffer Photon Field
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- 1.E.H. Adelson and J.R. Bergen. The plenoptic function and the elements of early vision. In M. Landy and J.A. Movshon, editors, Computational Models of Visual Processing, pages 3–20 Cambridge, 1991. MIT Press.Google Scholar
- 3.A.S. Glassner. Principles of Digital Image Synthesis. Morgan Kaufmann, San Francisco, 1995.Google Scholar
- 5.R-K. Hsiung and R.H.P. Dunn. Visualizing relativistic effects in spacetime. In Proceedings of Supercomputing ’89 Conference, pages 597-606, 1989.Google Scholar
- 7.C.W. Misner, K.S. Thorne, and J.A. Wheeler. Gravitation. Freeman, New York, 1973.Google Scholar
- 8.C. Møller. The Theory of Relativity. Clarendon Press, Oxford, second edition, 1972.Google Scholar
- 9.J.S. Montrym, D.R. Baum, D.L. Dignam, and C.J. Migdal. InfiniteReality: A real-time graphics system. In SIGGRAPH 97 Conference Proceedings, pages 293-302, Aug. 1997.Google Scholar
- 10.M.S. Peercy. Linear color representations for full spectral sampling. In SIGGRAPH 93 Conference Proceedings, pages 191-198, Aug. 1993.Google Scholar
- 13.D. Weiskopf. A texture mapping approach for the visualization of special relativity. In IEEE Visualization 1999 Late Breaking Hot Topics Proceedings, pages 41-44, 1999.Google Scholar
- 14.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, 18(3), July 1999.Google Scholar
- 15.G. Wyszecki, and W.S. Stiles. Color Science. John Wiley & Sons, New York, second edition, 1982.Google Scholar