Phase Space Rendering

  • André Hinkenjann
  • Thorsten Roth
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4842)

Abstract

We present our work on phase space rendering. Every radiance sample in space has a location and a direction from which it is received. These degrees of freedom make up a phase space. The rendering problem of generating a discrete image from single radiance values is reduced to reconstruct a continuous radiance function from sparse samples in its phase space. The problem of reconstruction in a sparsely sampled space is solved by utilizing scattered data interpolation (SDI) methods. We provide numerical and visual evaluations of experiments with three SDI methods.

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References

  1. 1.
    Havran, V.: Heuristic Ray Shooting Algorithms. Ph.d. thesis, Department of Computer Science and Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague (2000)Google Scholar
  2. 2.
    Gortler, S.J., Grzeszczuk, R., Szeliski, R., Cohen, M.F.: The lumigraph. In: SIGGRAPH 1996: Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, pp. 43–54. ACM Press, New York (1996)CrossRefGoogle Scholar
  3. 3.
    Levoy, M., Hanrahan, P.: Light field rendering. In: SIGGRAPH 1996: Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, pp. 31–42. ACM Press, New York (1996)CrossRefGoogle Scholar
  4. 4.
    Shum, H.Y., Li, Y., Kang, S.B.: An introduction to image-based rendering. In: Integrated image and graphics technologies, pp. 131–159. Kluwer Academic Publishers, Norwell, MA, USA (2004)CrossRefGoogle Scholar
  5. 5.
    Hinkenjann, A., Pietrek, G.: Using scattered data interpolation for radiosity reconstruction. In: CGI 1998: Proceedings of the Computer Graphics International 1998, p. 715. IEEE Computer Society Press, Washington, DC, USA (1998)Google Scholar
  6. 6.
    Salesin, D., Lischinski, D., DeRose, T.: Reconstructing Illumination Functions with Selected Discontinuities. In: Third Eurographics Workshop on Rendering, Bristol, UK, pp. 99–112 (1992)Google Scholar
  7. 7.
    Bastos, R., Goslin, M., Zhang, H.: Efficient radiosity rendering using textures and bicubic reconstruction. In: Symposium on Interactive 3D Graphics, pp. 71–74 (1997)Google Scholar
  8. 8.
    Zickler, T., Enrique, S., Ramamoorthi, R., Belhumeur, P.: Image-based rendering from a sparse set of images. In: SIGGRAPH 2005: ACM SIGGRAPH 2005 Sketches, p. 147. ACM Press, New York (2005)CrossRefGoogle Scholar
  9. 9.
    Alfeld, P.: Mathematical methods in computer aided geometric design. In: Mathematical methods in computer aided geometric design, pp. 1–33. Academic Press Professional, Inc. San Diego, CA, USA (1989)Google Scholar
  10. 10.
    Adelson, E.H., Bergen, J.R.: The Plenoptic Function and the Elements of Early Vision. In: The Plenoptic Function and the Elements of Early Vision, MIT Press, Cambridge (1991)Google Scholar
  11. 11.
    Amidror, I.: Scattered data interpolation methods for electronic imaging systems: a survey. Journal of Electronic Imaging 11(2), 157–176 (2002)CrossRefGoogle Scholar
  12. 12.
    Chai, J.X., Chan, S.C., Shum, H.Y., Tong, X.: Plenoptic sampling. In: SIGGRAPH 2000: Proceedings of the 27th annual conference on Computer graphics and interactive techniques, pp. 307–318. ACM Press/Addison-Wesley Publishing Co, New York (2000)CrossRefGoogle Scholar
  13. 13.
    POV-Ray – The Persistence of Vision Raytracer (2007), http://www.povray.org [Online; accessed 30-July-2007]
  14. 14.
    Bentley, J.L.: Multidimensional binary search trees used for associative searching. Commun. ACM 18, 509–517 (1975)MATHCrossRefGoogle Scholar
  15. 15.
    Hardy, R.L.: Theory and applications of the multiquadric-biharmonic method. Computer Math. Applications 19, 1905–1915 (1990)MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • André Hinkenjann
    • 1
  • Thorsten Roth
    • 1
  1. 1.University of Applied Sciences Bonn-Rhein-Sieg, Sankt AugustinGermany

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