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T-buffer: fast visualization of relativistic effects in space-time

Published: 01 February 1990 Publication History

Abstract

We have developed an innovative ray-tracing simulation algorithm to describe Relativistic Effects in SpaceTime ("REST"). Our algorithm, called REST-frame, models light rays that have assumed infinite speed in conventional ray-tracing to have a finite speed in spacetime, and uses the non-Newtonian Lorentz Transformation to relate measurements of a single event in different inertial coordinate systems (inertial frames). Our earlier work [5][6][7] explored the power of REST-frame as an experimentation tool to study the rich visual properties in natural world modeled by Special Relativity. Non-intuitive images of the anisotropic deformation ("warping") of space, the intensity concentration/spreading of light sources in spacetime, and the relativistic Doppler shift were visualized from our simulations.

References

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[2] E. Catmull. Computer display of curved surfaces. In Proc. IEEE Conf. Computer Graphics Pattern Recognition Data Siruct., page 11, May 1975.
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[3] Intel Corp. i860 64-Bit Microprocessor Programmer's Reference Manual. Intel Corp., 1989.
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[4] Andrew Glassner. An Introduction to Ray-Tracing. Academic Press Limited, 1989.
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[5] Ping-Kang Hsiung and Robert H. P. Dunn. Visualizing relativistic effects in spacetime. In Proceedings of the Supercomputing '89 Conference, Nov. 13-17, 1989.
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[6] Ping-Kang Hsiung and Robert H. Thibadeau. Spacetime visualization of 3D relativistic motion. Unpublished document , Oct., 1989.
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[7] Ping-Kang Hsiung and Robert H. Thibadeau. Spacetime visualization of relativistic effects. In ACM 1990 Computer Science Conference (to appear), Feb. 20-22, 1990.
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[8] T.L. Kay and J.T. Kajiya. Ray tracing complex scenes. Computer Graphics (SIGGRAPH), 269-278, Aug. 1986.
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[11] Robert Resnick. Introduction to Special Relativity. Rensselaer Polytechnic Institute, 1968.
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[12] G. D. Scott and M. R. Viner. The geometrical appearance of large objects moving at relativitic speeds. American Journal of Physics, 18(2):109-144, Jan. 1965.
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  • (2023)Simulated Radio and Neutrino Imaging of a MicroquasarGalaxies10.3390/galaxies1106011011:6(110)Online publication date: 9-Nov-2023
  • (2017)Observation of relativistic effects by a single observer: a geometric interpretation using Loedel diagramsEuropean Journal of Physics10.1088/1361-6404/aa5db738:3(035601)Online publication date: 21-Feb-2017
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Information

Published In

cover image ACM SIGGRAPH Computer Graphics
ACM SIGGRAPH Computer Graphics  Volume 24, Issue 2
Mar. 1990
241 pages
ISSN:0097-8930
DOI:10.1145/91394
Issue’s Table of Contents
  • cover image ACM Conferences
    I3D '90: Proceedings of the 1990 symposium on Interactive 3D graphics
    February 1990
    271 pages
    ISBN:0897913515
    DOI:10.1145/91385
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 February 1990
Published in SIGGRAPH Volume 24, Issue 2

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Cited By

View all
  • (2024)Geometric construction of relativistic and non-relativistic distortionJournal of the Optical Society of America A10.1364/JOSAA.52459141:7(1329)Online publication date: 11-Jun-2024
  • (2023)Simulated Radio and Neutrino Imaging of a MicroquasarGalaxies10.3390/galaxies1106011011:6(110)Online publication date: 9-Nov-2023
  • (2017)Observation of relativistic effects by a single observer: a geometric interpretation using Loedel diagramsEuropean Journal of Physics10.1088/1361-6404/aa5db738:3(035601)Online publication date: 21-Feb-2017
  • (2015)Relativistic Effects for Time-Resolved Light TransportComputer Graphics Forum10.1111/cgf.1260434:8(1-12)Online publication date: 1-Dec-2015
  • (2014)Refractive radiative transfer equationACM Transactions on Graphics10.1145/255760533:2(1-22)Online publication date: 8-Apr-2014
  • (2013)Relativistic OpticsSpecial Relativity10.1007/978-3-319-01107-3_7(171-190)Online publication date: 13-Aug-2013
  • (2012)Visualization for the Physical SciencesComputer Graphics Forum10.1111/j.1467-8659.2012.03184.x31:8(2317-2347)Online publication date: 1-Dec-2012
  • (2011)Special-Relativistic VisualizationComputing in Science and Engineering10.1109/MCSE.2011.6813:4(85-93)Online publication date: 1-Jul-2011
  • (2010)Special Relativistic Visualization by Local Ray TracingIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2010.19616:6(1243-1250)Online publication date: 1-Nov-2010
  • (2007)Real Time Relativity: Exploratory learning of special relativityAmerican Journal of Physics10.1119/1.274404875:9(791-798)Online publication date: 1-Sep-2007
  • Show More Cited By

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