Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.5555/1555880.1555901guideproceedingsArticle/Chapter ViewAbstractPublication PagesgiConference Proceedingsconference-collections
research-article
Free access

Rendering lunar eclipses

Published: 25 May 2009 Publication History

Abstract

Johannes Kepler first attributed the visibility of lunar eclipses to refraction in the Earth's atmosphere in his Astronomiae Pars Optica in 1604. We describe a method for rendering images of lunar eclipses including color contributions due to refraction, dispersion, and scattering in the Earth's atmosphere. We present an efficient model of refraction and scattering in the atmosphere, including contributions of suspended volcanic dusts which contribute to the observed variation in eclipse brightness and color. We propose a method for simulating camera exposure to allow direct comparison between rendered images and digital photographs. Images rendered with our technique are compared to photographs of the total lunar eclipse of February 21, 2008.

References

[1]
IEC/4WD 61966-2-1: Colour Measurement and Management in Multimedia Systems and Equipment - Part 2--1: Default RGB Colour Space - sRGB. International Electrotechnical Commission, 1998.
[2]
American Society for Testing and Materials. Standard ASTM E490--2000, Standard for Solar Constant and Air Mass Zero Solar Spectral Irradiance Tables, 2000.
[3]
M. Berger, T. Trout, and N. Levit. Ray tracing mirages. IEEE Comput. Graph. Appl., 10(3):36--41, 1990.
[4]
A. Bucholtz. Rayleigh-scattering calculations for the terrestrial atmosphere. Appl. Opt., 34(15):2765--2773, 1995.
[5]
CIE. Commission Internationale de l'Eclairage Proceedings, 1931. Cambridge University Press, Cambridge, 1932.
[6]
D. Coffin. dcraw: Decoding raw digital photos in Linux, 2008. http://www.cybercom.net/~dcoffin/dcraw/.
[7]
T. P. Cooper and M. Geyser. Size and shape of the umbra during a lunar eclipse. Monthly Notes of the Astronomical Society of Southern Africa, 63:12.
[8]
T. P. Cooper and M. Geyser. Size and shape of the umbra during a lunar eclipse. Monthly Notes of the Astron. Soc. Southern Africa, 63:12--19, 2004.
[9]
Handbook of Chemistry and Physics. CRC Press, Cleveland, Ohio, 1984.
[10]
A. Danjon. Comptes Rendues, 171:1127--1207, 1920.
[11]
F. Espenak and J. Meeus. Five millennium catalog of lunar eclipses: -1999 to +3000. Technical Report TP-2009-214173, NASA.
[12]
A. Glassner. Principles of Digital Image Synthesis, volume 1 and 2. Morgan-Kaufmann, 1995.
[13]
D. Gutierrez, A. Muñoz, O. Anson, and F. J. Serón. Non-linear volume photon mapping. In Rendering Techniques, pages 291--300, 2005.
[14]
D. Gutierrez, F. Seron, O. Anson, and A. Munoz. Chasing the green flash: a global illumination solution for inhomogeneous media. Proceedings of the 20th spring conference on Computer graphics, April 22--24 2004.
[15]
D. Gutierrez, F. J. Seron, A. Munoz, and O. Anson. Simulation of atmospheric phenomena. Computers & Graphics, 30(6):994--1010, Dec. 2006.
[16]
J. Haber, M. Magnor, and H.-P. Seidel. Physically-based simulation of twilight phenomena. ACM Trans. Graph., 24(4): 1353--1373, 2005.
[17]
J. Hansen and S. Matsushima. Light illuminance and color in the earth's shadow. J. Geophys. Rev., 71:1073--1081, 1966.
[18]
N. Hernitschek, E. Schmidt, and M. Vollmer. Lunar eclipse photometry: absolute luminance measurements and modeling. Appl. Opt., 47(34):H62--H71, 2008.
[19]
D. Hoffman, J. Barnes, E. Dutton, T. Deshler, H. Jäger, R. Keen, and M. Osborn. Surface-based observations of volcanic emissions to the stratosphere. Geophysical monograph, pages 57--73, 2003.
[20]
H. Jensen, D. F., M. Stark, S. Premoze, J. Dorsey, and P. Shirley. A physically-based night sky model. In E. Fiume, editor, SIGGRAPH 2001, Computer Graphics Proceedings, pages 399--408. ACM Press / ACM SIGGRAPH, 2001.
[21]
H. Jensen, S. Premoze, P. Shirley, W. Thompson, J. Ferwerda, and M. Stark. Night rendering. Technical Report UUCS-00-016, University of Utah, Computer Science Department, August 2000.
[22]
R. A. Keen. Volcanic aerosols and lunar eclipses. Science, 222(4627): 1011--1013, 1983.
[23]
J. Kepler. Astronomiae Pars Optica. 1604.
[24]
R. V. Klassen. Modeling the effect of the atmosphere on light. ACM Trans. Graph., 6(3):215--237, 1987.
[25]
A. Linţu, J. Haber, and M. Magnor. Realistic Solar Disc Rendering. In WSCG '2005 Full Papers Conference Proceedings, pages 79--86, Feb. 2005.
[26]
F. Link. Eclipse Phenomena in Astronomy. Springer-Verlag, 1969.
[27]
P. Marmet and C. Couture. Enlargement of the earth's shadow on the moon: An optical illusion, Last accessed: March 2009. http://www.newtonphysics.on.ca/Astronomy/Astronomy.htm.
[28]
S. Matsushima, J. R. Zink, and J. E. Hansen. Atmospheric extinction by dust particles as determined from three-color photometry of the lunar eclipse of 19 December 1964. Astronomical Journal, 71:103--110, Mar. 1966.
[29]
J. Meeus. Astronomical Formulae for Calculators. Willman-Bell, Inc., fourth edition, 1988.
[30]
J. Meeus. Astronomical Algorithms. Willman-Bell, Inc., second edition, 1998.
[31]
M. Minnaert. The Nature of Light and Colour in the Open Air. Dover, 1954.
[32]
T. Nishita, T. Sirai, K. Tadamura, and E. Nakamae. Display of the earth taking into account atmospheric scattering. Proceedings of the 20th annual conference on Computer graphics and interactive techniques, pages 175--182, 1993.
[33]
C. M. Pieters. The moon as spectral calibration standard enabled by lunar samples: The Clementine example. In Workshop on New Views of the Moon II: Understanding the Moon through the Integration of Diverse Datasets, pages 47--49, 1999.
[34]
A. Preetham, P. Shirley, and B. Smits. A practical analytic model for daylight. In A. Rockwood, editor, Siggraph 1999, Computer Grahics Procedings, pages 91--100, Los Angeles, 1999. Addison Wesley Longman.
[35]
F. Seron, D. Gutierrez, G. Gutierrez, and E. Cerezo. Visualizing sunsets through inhomogeneous atmospheres. In Computer Graphics International 2004, pages 349--356, June 2004.
[36]
J. Stam and E. Languenou. Ray tracing in non-constant media. In X. Pueyo and P. Schroeder, editors, RenderingTechniques '96, Proceedings of the 7th Eurographics Workshop on Rendering, pages 225--234. Springer-Verlag, 1996.
[37]
R. B. Stothers. Stratospheric Transparency Derived from Total Lunar Eclipse Colors, 1801--1881. The Publications of the Astronomical Society of the Pacific, 117:1445--1450, Dec. 2005.
[38]
U.S. Standard Atmosphere. U.S. Government Printing Office, 1976.
[39]
S. Y. van der Werf. Ray tracing and refraction in the modified us 1976 atmosphere. Appl. Opt., 42(3):354--366, 2003.
[40]
M. Vollmer and S. D. Gedzelman. Simulating irradiance during lunar eclipses: the spherically symmetric case. Appl. Opt., 47(34):H52--H61, 2008.
[41]
A. T. Young. Air mass and refraction. Appl. Opt., 33(6):1108--1110, 1994.

Recommendations

Comments

Information & Contributors

Information

Published In

cover image Guide Proceedings
GI '09: Proceedings of Graphics Interface 2009
May 2009
257 pages
ISBN:9781568814704

Sponsors

  • The Canadian Human-Computer Communications Society / Société Canadienne du Dialogue Humaine Machine (CHCCS/SCDHM)

Publisher

Canadian Information Processing Society

Canada

Publication History

Published: 25 May 2009

Qualifiers

  • Research-article

Acceptance Rates

GI '09 Paper Acceptance Rate 28 of 77 submissions, 36%;
Overall Acceptance Rate 206 of 508 submissions, 41%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • 0
    Total Citations
  • 353
    Total Downloads
  • Downloads (Last 12 months)6
  • Downloads (Last 6 weeks)1
Reflects downloads up to 03 Sep 2024

Other Metrics

Citations

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Get Access

Login options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media