“Bi-scale radiance transfer” by Sloan, Liu, Shum and Snyder

  • ©Peter-Pike Sloan, Xinguo Liu, Heung-Yeung Shum, and John M. Snyder




    Bi-scale radiance transfer



    Radiance transfer represents how generic source lighting is shadowed and scattered by an object to produce view-dependent appearance. We generalize by rendering transfer at two scales. A macro-scale is coarsely sampled over an object’s surface, providing global effects like shadows cast from an arm onto a body. A meso-scale is finely sampled over a small patch to provide local texture. Low-order (25D) spherical harmonics represent low-frequency lighting dependence for both scales. To render, a coefficient vector representing distant source lighting is first transformed at the macro-scale by a matrix at each vertex of a coarse mesh. The resulting vectors represent a spatially-varying hemisphere of lighting incident to the meso-scale. A 4D function, called a radiance transfer texture (RTT), then specifies the surface’s meso-scale response to each lighting basis component, as a function of a spatial index and a view direction. Finally, a 25D dot product of the macro-scale result vector with the vector looked up from the RTT performs the correct shading integral. We use an id map to place RTT samples from a small patch over the entire object; only two scalars are specified at high spatial resolution. Results show that bi-scale decomposition makes preprocessing practical and efficiently renders self-shadowing and interreflection effects from dynamic, low-frequency light sources at both scales.


    1. ASHIKHMIN, M, AND SHIRLEY, P, Steerable Illumination Textures, ACM Transactions on Graphics, 2(3), 2002. Google Scholar
    2. DANA, K, VAN GINNEKEN, B, NAYAR, S, AND KOENDERINK, J, Reflectance and Texture of Real World Surfaces, ACM Transactions on Graphics, 1999, 18(1):1–34. Google ScholarDigital Library
    3. DAUBERT, K, LENSCH, H, HEIDRICH, W, SEIDEL, H, Efficient Cloth Modeling and Rendering, EG Rendering Workshop 2001. Google ScholarDigital Library
    4. HEIDRICH, W, DAUBERT, K, KAUTZ, J, AND SEIDEL, H, Illuminating Micro Geometry based on Precomputed Visibility, SIGGRAPH 2000, 455–464. Google Scholar
    5. KAJIYA, J, Anisotropic Reflection Models, SIGGRAPH 1985, 15–21. Google Scholar
    6. KAUTZ, J, SLOAN, P, AND SNYDER J, Fast, Arbitrary BRDF Shading for Low-Frequency Lighting Using Spherical Harmonics, Eurographics Workshop on Rendering 2002, 291–296. Google ScholarDigital Library
    7. LIU, X, YU, Y, AND SHUM, H, Synthesizing Bidirectional Texture Functions for Real-World Surfaces, SIGGRAPH 2001, 97–106. Google Scholar
    8. LIU, X, HU, Y, ZHANG, J, TONG, X, GUO, B, AND SHUM, H, Synthesis and Rendering of Bidirectional Texture Functions on Arbitrary Surfaces, submitted for publication to IEEE TVCG, Nov, 2002. Google Scholar
    9. MALZBENDER, T, GELB, D, AND WOLTERS, H, Polynomial Texture Maps, SIGGRAPH 2001, 519–528. Google Scholar
    10. MCALLISTER, D, LASTRA, A, AND HEIDRICH, W, Efficient Rendering of Spatial Bi-directional Reflectance Distribution Functions, Graphics Hardware 2002. Google Scholar
    11. MOUNT, D, ANN Programming Manual, Dept. Comp. Sci., Univ. of Maryland, College Park, Maryland, 1998. http://www.cs.umd.edu/~mount/ANN/Google Scholar
    12. SANDER, P, SNYDER, J, GORTLER, S, AND HOPPE, H, Texture Mapping Progressive Meshes, SIGGRAPH 2001, 409–416. Google Scholar
    13. SHIRLEY, P, AND CHIU, K, A Low Distortion Map between Disk and Square, Journal of Graphics Tools, vol. 2, no. 3, 1997, 45–52. Google ScholarDigital Library
    14. SLOAN, P., KAUTZ, J, AND SNYDER J, Precomputed Radiance Transfer for Real-Time Rendering in Dynamic, Low-Frequency Lighting Environments, SIGGRAPH 2002, 527–536. Google Scholar
    15. TONG, X, ZHANG, J, LIU, L, WANG, X, GUO, B, AND SHUM, H, Synthesis of Bidirectional Texture Functions on Arbitrary Surfaces, SIGGRAPH 2002, 665–672. Google Scholar
    16. TURK, G, Texture Synthesis on Surfaces, SIGGRAPH 2001, 347–354. Google Scholar

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