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Parallel adaptive sampling and reconstruction using multi-scale and directional analysis

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Abstract

We propose a novel parallel image space adaptive rendering approach. Contourlet transform which includes Laplacian pyramid and directional filter banks is modified for multi-scale and directional analysis in our algorithm. In sampling stage, the image space is coarsely sampled first. The sampled image is analyzed into coarse and difference values in multi-scale using Laplacian pyramid transform. Based on the analysis, a heuristic method is proposed to repeatedly distribute adaptive Monte Carlo samples. In reconstruction stage, the final image is reconstructed by filtering each pixel using our anisotropic per-pixel filter. The filter size depends on the variance and attenuation values. The filter’s anisotropic property is computed by the directional filter banks. Compared to the state-of-the-art image space adaptive rendering methods, the results rendered by our algorithm show improvement in both visual image quality and numerical error while using sparse samples.

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References

  1. Mitchell, D.P.: Generating antialiased images at low sampling densities. In: Proceedings of the ACM SIGGRAPH’87, Anaheim. Annual Conference Series, vol. 21, pp. 65–72. ACM, New York (1987)

    Google Scholar 

  2. Overbeck, R.S., Donner, C., Ramamoorthi, R.: Adaptive wavelet rendering. ACM Trans. Graph. 28(5), 1–12 (2009). Proceedings of the ACM SIGGRAPH Asia Conference

    Article  Google Scholar 

  3. Rousselle, F., Knaus, C., Zwicker, M.: Adaptive sampling and recounstruction using greedy error minimization. ACM Trans. Graph. 5(3), 1–10 (2011). Proceedings of the SIGGRAPH Asia Conference

    Article  Google Scholar 

  4. Soler, C., Subr, K., Durand, F., Holzschuch, N., Sillion, F.: Fourier depth of field. ACM Trans. Graph. 28(2), 1–12 (2009). Proceedings of the SIGGRAPH Conference

    Article  Google Scholar 

  5. Egan, K., Tseng, Y.T., Holzschuch, N., Durand, F., Ramamoorthi, R.: Frequency analysis and sheared reconstruction for rendering motion blur. ACM Trans. Graph. 28(3), 1–13 (2009). Proceedings of the SIGGRAPH Conference

    Article  Google Scholar 

  6. Hachisuka, T., Jarosz, W., Weistroffer, R.P., Dale, K.: Multidimensional adaptive sampling and reconstruction for ray tracing. ACM Trans. Graph. 27(3), 33 (2008). Proceedings of the SIGGRAPH Conference

    Article  Google Scholar 

  7. Jin, B., Ihm, I., Chang, B., Park, C., Lee, W., Jung, S.: Selective and adaptive supersampling for realtime ray tracing. In: Proceedings of the Conference on High Performance Graphics, pp. 117–125 (2009)

    Chapter  Google Scholar 

  8. Genetti, J.D., Gordon, D., Williams, G.: Adaptive supersampling in object space using pyramidal rays. Comput. Graph. Forum 17(1), 29–54 (1998)

    Article  Google Scholar 

  9. Mitchell, D.P.: Spectrally optimal sampling for distribution ray tracing. In: Computer Graphics Proceedings, ACM SIGGRAPH, Las Vegas. Annual Conference Series, vol. 25, pp. 157–164. ACM, New York (1991)

    Google Scholar 

  10. Rousselle, F., Knaus, C., Zwicker, M.: Adaptive rendering with non-local means filtering. ACM Trans. Graph. (2012). Proceedings of the SIGGRAPH Asia Conference

  11. Shirley, P., Alila, T., Cohen, J., Enderton, E., Laine, S., Luebke, D., McGuire, M.: A local image reconstruction algorithm for stochastic rendering. In: Symposium on Interactive 3D Graphics and Games (I3D’11), pp. 9–14. ACM, New York (2011)

    Chapter  Google Scholar 

  12. Egan, K., Hecht, F., Durand, F., Ramamoorthi, R.: Frequency analysis and sheared filtering for shadow light fields of complex occluders. ACM Trans. Graph. 30(4) (2011)

  13. Lehtinen, J., Alia, T., Chen, J., Laine, S., Durand, F.: Temporal light field reconstruction for rendering distribution effects. ACM Trans. Graph. 30(4) (2011)

  14. Lehtinen, J., Alia, T., Laine, S., Durand, F.: Reconstructing the indirect light field for global illumination. ACM Trans. Graph. (2012)

  15. Li, T.M., Wu, Y.T., Chuang, Y.Y.: Sure-based optimization for adaptive sampling and reconstruction ACM Trans. Graph. 31(6), 186 (2012). Proceedings of ACM SIGGRAPH Asia 2012

    Google Scholar 

  16. Dammertz, H., Sewtz, D., Hanika, J., Lensch, H.P.A.: Edge-avoiding a-trous wavelet transform for fast global illumination filtering. In: Proceedings of the Conference on High Performance Graphics, Eurographics Association (HPG’10), Aire-la-Ville, Switzerland, pp. 67–75 (2010)

    Google Scholar 

  17. Portilla, J., Strela, V., Wainwright, M.J., Simoncelli, E.P.: Image denoising using scale mixtures of gaussians in the wavelet domain. IEEE Trans. Image Process. 12(11), 1338–1351 (2003)

    Article  MathSciNet  Google Scholar 

  18. Do, M.N., Vetterli, M.: The contourlet transform: an efficient directional multiresolution image representation. IEEE Trans. Image Process. 14(12), 2091–2106 (2005)

    Article  MathSciNet  Google Scholar 

  19. Skodras, A., Christopoulos, C., Ebrahimi, T.: The jpeg 2000 still image compression standard. IEEE Signal Process. Mag. 18(5), 36–58 (2001)

    Article  Google Scholar 

  20. Sen, P., Darabi, S.: On filtering the noise from the random parameters in monte carlo rendering. ACM Trans. Graph. (2012). Proceedings of the SIGGRAPH Conference

  21. Park, S.I., Simith, M.J.T., Mersereau, R.M.: Improved structure of maximally decimated directional filter banks for spatial image analysis. IEEE Trans. Image Process. 13, 1424–1431 (2004)

    Article  Google Scholar 

  22. Liu, X.D., Wu, J.Z., Zheng, C.W.: Kd-tree based parallel adaptive rendering. Vis. Comput. 28(6–8), 613–623 (2012)

    Article  Google Scholar 

  23. http://src.luxrender.net (2008)

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Correspondence to Xiao Dan Liu.

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Liu, X.D., Zheng, C.W. Parallel adaptive sampling and reconstruction using multi-scale and directional analysis. Vis Comput 29, 501–511 (2013). https://doi.org/10.1007/s00371-013-0814-4

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