Novosibirsk State University Journal of Information Technologies
Scientic Journal

ISSN 2410-0420 (Online), ISSN 1818-7900 (Print)

Switch to

All Issues >> Contents: Volume 10, Issue No 1 (2012)

A local model of light interaction with isotropic and uniaxial transparent media
V. A. Debelov, D. S. Kozlov

Novosibirsk State University
Institute of Computational Mathematics and Mathematical Geophysics of the SB RAS

UDC code: 004.925.3

The paper is devoted to the derivation of a local model of light interaction with a boundary of two transparent crystals (media) with different optical characteristics (isotropic or uniaxial). Refracting and reflecting properties of each medium are defined by the direction of the optical axis (if any) and refraction spectra. Local model describes a set of rules to calculate directions, intensities and polarization states of all outgoing rays by corresponding attributes of an incoming ray and optical properties of adjacent media. The developed model operates with the term of polarized ray, i.e. geometrical ray with linked intensity and polarization state attributes. The suggested algorithm for calculation of rays allows calculating properties of all reflected and refracted rays (up to 4 rays). In the paper, isotropic and uniaxial media are considered in a similar manner. The correctness of the model is validated by comparison of a photo of a real uniaxial crystal with the corresponding computed image.

Key Words
ray tracing, photorealistic rendering, birefringence, optical dispersion, light polarization, optical axis, uniaxial crystal, isotropic crystal

How to cite:
Debelov V. A., Kozlov D. S. A local model of light interaction with isotropic and uniaxial transparent media // Vestnik NSU Series: Information Technologies. - 2012. - Volume 10, Issue No 1. - P. 5-23. - ISSN 1818-7900. (in Russian).

Full Text in Russian

Available in PDF

1. Whitted T. An Improved Illumination Model for Shaded Display // Commun. ACM. 1980. Vol. 23. No. 6. P. 343–349.
2. Guy S., Soler C. Graphics Gems Revisited // ACM Transactions on Graphics: Proc. of the SIGGRAPH Conference. 2004. Vol. 23. No. 3. P. 231–238.
3. Weidlich A., Wilkie A. A. Realistic Rendering of Birefringency in Uniaxial Crystals // ACM Transactions on Graphics: Proc. of the SIGGRAPH Conference). 2008. Vol. 27 (1). P. 6:1–6:12.
4. McClain S. C., Hillman L. W., Chipman R. A. Polarization Ray Tracing in Anisotropic Optically Active Media. 2. Theory and Physics // Journal of Optical Society of America. 1993. Vol. 10. No. 11. P. 2383–2393.
5. Fedorov F. I., Filippov V. V. Otrazheniye i prelomleniye sveta prozrachnymi kristallami. Minsk: Nauka i tekhnika, 1976.
6. Born M., Volf E. Osnovy Optiki. M.: Nauka, 1973.
7. Tannenbaum D. C., Tannenbaum P., Wozny M. J. Polarization and Birefringency Considerations in Rendering // Proc. of SIGGRAPH’94 (Orlando, Florida, July 24–29). 1994. P. 221–222.
8. Goral C. M., Torrance K. E., Greenberg D. P., Battaile B. Modeling the Interaction of Light between Diffuse Surfaces // Proc. of the XI Annual Conference on Computer Graphics and Interactive Techniques. N. Y.: ACM, 1984. P. 213–222.
9. Meyer G. W., Rushmeier H. E., Cohen M. F., Greenberg D. P., Torrance K. E. An Experimental Evaluation of Computer Graphics Imagery // ACM Transactions on Graphics. 1986. Vol. 5. P. 30–50.
10. Glassner A. S. How to Derive a Spectrum from an Rgb-Triplet // IEEE Comput. Graph. Appl. 1989. Vol. 9. R. 95–99.

Publication information
Main title Vestnik NSU Series: Information Technologies, Volume 10, Issue No 1 (2012).
Parallel title: Novosibirsk State University Journal of Information Technologies Volume 10, Issue No 1 (2012).

Key title: Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriâ: Informacionnye tehnologii
Abbreviated key title: Vestn. Novosib. Gos. Univ., Ser.: Inf. Tehnol.
Variant title: Vestnik NGU. Seriâ: Informacionnye tehnologii

Year of Publication: 2012
ISSN: 1818-7900 (Print), ISSN 2410-0420 (Online)
Publisher: Novosibirsk State University Press
DSpace handle

|Home Page| |All Issues| |Information for Authors| |Journal Boards| |Ethical principles| |Editorial Policy| |Contact Information| |Publication fee| |Open Access Policy| |Old Site in Russian|
© 2006-2018, Novosibirsk State University.