Exploiting Material Properties to Select a Suitable Wavelet Basis for Efficient Rendering

Jeroen Put, Nick Michiels, Philippe Bekaert

Abstract

Nearly-orthogonal spherical wavelet bases can be used to perform rendering at higher quality and with significantly less coefficients for certain spherical functions, e.g. BRDF data. This basis avoids parameterisation artifacts from previous 2D methods, while at the same time retaining high-frequency details in the lighting. This paper demonstrates the efficiency of this representation for rendering purposes. Regular 2D Haar wavelets can still occasionally perform better, however. This is due to their property of being fully orthogonal. An important novelty of this paper lies in the introduction of a technique to select an appropriate wavelet basis on-the-fly, by utilising prior knowledge of materials in the scene. To show the influence of different bases on rendering quality, we perform a comparison of their parameterisation error and the compression performance.

References

  1. Antonini, M., Barlaud, M., Mathieu, P., and Daubechies, I. (1992). Image coding using wavelet transform. IEEE Transactions on Image Processing, 1(2):205-220.
  2. Bilgili, A., O ztü rk, A., and Kurt, M. (2011). A general brdf representation based on tensor decomposition. Comput. Graph. Forum, 30(8):2427-2439.
  3. Bonneau, G.-P. (1999). Optimal triangular haar bases for spherical data. LMC - CRNS.
  4. Dutré, P., Bala, K., and Bekaert, P. (2006). Advanced global illumination, 2nd edition. A K Peters (http://www.akpeters.com/).
  5. Haber, T., Fuchs, C., Bekaert, P., Seidel, H.-P., Goesele, M., and Lensch, H. P. A. (2009). Relighting objects from image collections.
  6. Kajiya, J. T. (1986). The rendering equation. In Proceedings of the 13th annual conference on Computer graphics and interactive techniques, SIGGRAPH 7886, pages 143-150, New York, NY, USA. ACM.
  7. Lessig, C. (2007). Orthogonal and symmetric haar wavelets on the sphere. Master thesis - University of Toronto.
  8. Ma, W.-C., Hsiao, C.-T., Lee, K.-Y., Chuang, Y.-Y., and Chen, B.-Y. (2006). Real-time triple product relighting using spherical local-frame parameterization. Vis. Comput., 22(9):682-692.
  9. Matusik, W., Pfister, H., Brand, M., and McMillan, L. (2003). A data-driven reflectance model. ACM Transactions on Graphics, 22(3):759-769.
  10. Ng, R., Ramamoorthi, R., and Hanrahan, P. (2004). Triple product wavelet integrals for all-frequency relighting. ACM Trans. Graph., 23(3):477-487.
  11. Ngan, A., Durand, F., and Matusik, W. (2005). Experimental analysis of brdf models. In Proceedings of the Sixteenth Eurographics conference on Rendering Techniques, EGSR'05, pages 117-126, Aire-la-Ville, Switzerland, Switzerland. Eurographics Association.
  12. Okabe, T., Sato, I., and Sato, Y. (2004). Spherical harmonics vs. haar wavelets: Basis for recovering illumination from cast shadows. In Shadows, Proc. Conf. Computer Vision and Pattern Recognition, pages 50-57.
  13. Praun, E. and Hoppe, H. (2003a). Spherical parametrization and remeshing. ACM Trans. Graph., 22(3):340-349.
  14. Praun, E. and Hoppe, H. (2003b). Spherical parametrization and remeshing. ACM TOG, 22(3):340-349.
  15. Ruiters, R. and Klein, R. (2010). A compact and editable representation for measured brdfs. Technical Report CG-2010-1, University of Bonn.
  16. Schrö der, P. and Sweldens, W. (1995). Spherical wavelets: Efficiently representing functions on the sphere. University of South Carolina.
  17. Sun, W. and Mukherjee, A. (2006). Generalized wavelet product integral for rendering dynamic glossy objects. In ACM SIGGRAPH 2006 Papers, SIGGRAPH 7806, pages 955-966, New York, NY, USA. ACM.
  18. Tsai, Y.-T., Chang, C.-C., Jiang, Q.-Z., and Weng, S.-C. (2008). Importance sampling of products from illumination and brdf using spherical radial basis functions. The Visual Computer, 24(7-9):817-826.
  19. Yu, T., Wang, H., Ahuja, N., and Chen, W.-C. (2006). Sparse lumigraph relighting by illumination and reflectance estimation from multi-view images. In ACM SIGGRAPH 2006 Sketches, SIGGRAPH 7806, New York, NY, USA. ACM.
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Paper Citation


in Harvard Style

Put J., Michiels N. and Bekaert P. (2014). Exploiting Material Properties to Select a Suitable Wavelet Basis for Efficient Rendering . In Proceedings of the 9th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2014) ISBN 978-989-758-002-4, pages 218-224. DOI: 10.5220/0004717202180224


in Bibtex Style

@conference{grapp14,
author={Jeroen Put and Nick Michiels and Philippe Bekaert},
title={Exploiting Material Properties to Select a Suitable Wavelet Basis for Efficient Rendering},
booktitle={Proceedings of the 9th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2014)},
year={2014},
pages={218-224},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004717202180224},
isbn={978-989-758-002-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 9th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2014)
TI - Exploiting Material Properties to Select a Suitable Wavelet Basis for Efficient Rendering
SN - 978-989-758-002-4
AU - Put J.
AU - Michiels N.
AU - Bekaert P.
PY - 2014
SP - 218
EP - 224
DO - 10.5220/0004717202180224