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Radiance Cache Splatting: A GPU-Friendly Global Illumination Algorithm

Radiance Cache Splatting: A GPU-Friendly Global Illumination Algorithm. P. Gautron J. K ř iv á nek K. Bouatouch S. Pattanaik. Direct. Indirect. Global Illumination. Global Illumination. Why?. ∫. L i (P, ω i ). =. Global Illumination. How?. L o (P, ω o ).

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Radiance Cache Splatting: A GPU-Friendly Global Illumination Algorithm

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  1. Radiance Cache Splatting:A GPU-Friendly Global Illumination Algorithm P. Gautron J. Křivánek K. BouatouchS. Pattanaik

  2. Direct Indirect Global Illumination Global Illumination Why? EGSR 2005 – Konstanz, Germany

  3. ∫ Li(P, ωi) = Global Illumination How? Lo(P, ωo) * BRDF(ωo, ωi) *cos(θ)dωi EGSR 2005 – Konstanz, Germany

  4. ∫ Li(P, ωi) = Global Illumination How? Lo(P, ωo) * BRDF(ωo, ωi) *cos(θ)dωi No analytical solution Numerical methods - Radiosity - Photon mapping - Path tracing - Bidirectional path tracing - Irradiance & Radiance caching - … EGSR 2005 – Konstanz, Germany

  5. GPU Speed Time GPUs Speed EGSR 2005 – Konstanz, Germany

  6. Simple 3D graphics only Time GPUs Versatility Linear algebra Fluid dynamics Signal processing Databases … And graphics! EGSR 2005 – Konstanz, Germany

  7. GPU Global Illumination & GPUs CPU EGSR 2005 – Konstanz, Germany

  8. Hemicube Cohen et al. 1985 Photon mapping on GPU Purcell et al. 2003 PRT Sloan et al. 2002 Global Illumination & GPUs Previous work EGSR 2005 – Konstanz, Germany

  9. Contributions A reformulation of (Ir)Radiance caching … - No complex data structure - Fast, image-space (ir)radiance interpolation - Fast approximation of hemisphere sampling … for fast and easy GPU implementation EGSR 2005 – Konstanz, Germany

  10. Outline Introduction Irradiance & Radiance Caching Our method: Radiance Cache Splatting Results Conclusion & Future Work EGSR 2005 – Konstanz, Germany

  11. Outline Introduction Irradiance & Radiance Caching Our method: Radiance Cache Splatting Results Conclusion & Future Work EGSR 2005 – Konstanz, Germany

  12. Irradiance Caching Sparse computation of indirect diffuse lighting   EGSR 2005 – Konstanz, Germany

  13. Irradiance Caching Sparse computation of indirect diffuse lighting EGSR 2005 – Konstanz, Germany

  14. Irradiance Caching Sparse computation of indirect diffuse lighting Interpolation EGSR 2005 – Konstanz, Germany

  15. nk n E(P) = + (nk x n) Ek Ek Ek + D r t Interpolation E EGSR 2005 – Konstanz, Germany

  16. E Σ n4 n2 n n3 n1 wk(P) k S Σ E(P) = wk(P) k S + (nk x n) Ek Ek Ek + D r t Interpolation S = { k / wk(P) > 1/a } EGSR 2005 – Konstanz, Germany

  17. Radiance Caching Extension of irradiance caching to glossy interreflections Cache directional distribution of light EGSR 2005 – Konstanz, Germany

  18. Radiance Caching Extension of irradiance caching to glossy interreflections Cache directional distribution of light Hemispherical Harmonics EGSR 2005 – Konstanz, Germany

  19. f1 L1 f2 L2  fn Ln Radiance Caching  HSH Incident Radiance HSH BRDF EGSR 2005 – Konstanz, Germany

  20. Implementation Cache Record Computation Ray tracing   EGSR 2005 – Konstanz, Germany

  21. Implementation Cache storage 4 6 1 10 8 2 3 11 3 13 2 4 5 6 7 12 8 9 10 11 12 13 9 7 5 1 EGSR 2005 – Konstanz, Germany

  22. Outline Introduction Irradiance & Radiance Caching Our method: Radiance Cache Splatting Results Conclusion & Future Work EGSR 2005 – Konstanz, Germany

  23. (Ir)Radiance Caching vs GPU (Ir)Radiance Caching GPU ? Ray tracing Rasterization Cache stored in tree 1/2/3D textures Spatial queries Texture lookups EGSR 2005 – Konstanz, Germany

  24. (Ir)Radiance Caching (Ir)Radiance Caching Native GPU features Octree Ray tracing Reformulation Our method EGSR 2005 – Konstanz, Germany

  25. Outline Introduction Irradiance & Radiance Caching Our method: Radiance Cache Splatting From octree to splatting From ray tracing to rasterization Overall algorithm Results Conclusion & Future Work EGSR 2005 – Konstanz, Germany

  26. Outline Introduction Irradiance & Radiance Caching Our method: Radiance Cache Splatting From octree to splatting From ray tracing to rasterization Overall algorithm Results Conclusion & Future Work EGSR 2005 – Konstanz, Germany

  27. E Σ n4 n n3 n1 n2 wk(P) k S Σ E(P) = wk(P) k S + (nk x n) Ek Ek Ek + D r t From Octree to Splatting Irradiance Interpolation S = { k / wk(P) > 1/a } EGSR 2005 – Konstanz, Germany

  28. P Pk nk n 1 wk(P) = ||P-Pk|| 1-n.nk + Rk From Octree to Splatting Irradiance Caching Weighting Function Normals divergence Distance EGSR 2005 – Konstanz, Germany

  29. nk n 1 wk(P) = ||P-Pk|| 1-n.nk + Rk From Octree to Splatting Simplified Weighting Function Pk P Normals divergence Distance EGSR 2005 – Konstanz, Germany

  30. n nk ~ 1 1 wk(P) = wk(P) = ||P-Pk|| ||P-Pk|| 1-n.nk + Rk Rk Distance From Octree to Splatting Simplified Weighting Function Pk P Normals divergence Distance EGSR 2005 – Konstanz, Germany

  31. nk n ~ Rk wk(P) = > 1/a ||P-Pk|| From Octree to Splatting Simplified Weighting Function Pk P aRk EGSR 2005 – Konstanz, Germany

  32. ~ Rk wk(P) = > 1/a ||P-Pk|| From Octree to Splatting Principle EGSR 2005 – Konstanz, Germany

  33. From Octree to Splatting Principle EGSR 2005 – Konstanz, Germany

  34. From Octree to Splatting Principle wk(P)>1/a ? EGSR 2005 – Konstanz, Germany

  35. From Octree to Splatting Principle wk(P)E(P) wk(P) EGSR 2005 – Konstanz, Germany

  36. From Octree to Splatting Principle EGSR 2005 – Konstanz, Germany

  37. Σ Σ k k From Octree to Splatting Principle wk(P)E(P) wk(P) EGSR 2005 – Konstanz, Germany

  38. wk(P)E(P) wk(P) Σ Σ k k From Octree to Splatting Final Image Generation EGSR 2005 – Konstanz, Germany

  39. From Octree to Splatting Example EGSR 2005 – Konstanz, Germany

  40. Outline Introduction Irradiance & Radiance Caching Our method: Radiance Cache Splatting From octree to splatting From ray tracing to rasterization Overall algorithm Results Conclusion & Future Work EGSR 2005 – Konstanz, Germany

  41. From Ray Tracing to Rasterization CPU EGSR 2005 – Konstanz, Germany

  42.  Vertex Shader Fragment Shader From Ray Tracing to Rasterization Simple plane sampling GPU EGSR 2005 – Konstanz, Germany

  43. Vertex Shader Fragment Shader From Ray Tracing to Rasterization Simple plane sampling GPU  EGSR 2005 – Konstanz, Germany

  44. Vertex Shader Fragment Shader From Ray Tracing to Rasterization Simple plane sampling GPU EGSR 2005 – Konstanz, Germany

  45. Vertex Shader Fragment Shader From Ray Tracing to Rasterization Simple plane sampling GPU Incoming radiance loss EGSR 2005 – Konstanz, Germany

  46. Vertex Shader Fragment Shader From Ray Tracing to Rasterization Our plane sampling GPU  EGSR 2005 – Konstanz, Germany

  47. Vertex Shader Fragment Shader From Ray Tracing to Rasterization Our plane sampling GPU Compensation of incoming radiance loss EGSR 2005 – Konstanz, Germany

  48. Our plane sampling Summary 3x more accurate than simple plane sampling Plausible directional information Easy implementation on GPU EGSR 2005 – Konstanz, Germany

  49. Outline Introduction Irradiance & Radiance Caching Our method: Radiance Cache Splatting From octree to splatting From ray tracing to rasterization Overall algorithm Results Conclusion & Future Work EGSR 2005 – Konstanz, Germany

  50. Vertex Shader Fragment Shader Algorithm Step 1 : information generation GPU EGSR 2005 – Konstanz, Germany

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