frequency analysis and dual hierarchyhachisuka/dual_sss_slides...participating media [belcour et al....
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Frequency Analysis and Dual Hierarchy for Efficient Rendering of Subsurface Scattering
David MilaenenWeta Digital
Université de Montréal
Laurent BelcourUnity Labs
Université de Montréal
Jean-Philippe GuertinUniversité de Montréal
Toshiya HachisukaUniversity of Tokyo
Derek NowrouzezahraiMcGill University
Université de Montréal
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BSSRDF
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Quantized-Diffusion [d’Eon and Irving 2011]
Directional Dipole [Frisvad et al. 2014]
Beam Diffusion [Habel et al. 2013]
Classical Dipole [Jensen et al. 2001]
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Smooth
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Observations
● Costly double integral per pixel○ Directional integral (just like BSDFs)○ Spatial integral (specific to BSSRDFs)
● Result is often smooth○ Individually solving each pixel is wasteful
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Observations
● Costly double integral per pixel○ Directional integral (just like BSDFs)○ Spatial integral (specific to BSSRDFs)
● Result is often smooth○ Individually solving each pixel is wasteful
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Illumination function
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Illumination sample
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Illumination sample
Cost:
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Clustered integration
●Hierarchical [Jensen and Buhler 2002]
○ Vectors [Frisvad et al. 2014]
○ Radiance bin [d’Eon and Irving 2011]
● Multidimensional Lightcuts [Walter et al. 2006]
● Illumination cuts [Bus et al. 2015]
● Double hierarchy○ Micropolygon grid [d’Eon and Irving 2011, PRMan]
○ GI VPL clustering [Jarabo et al. 2015]
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Clustered integration
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Clustered sample
Clustered integration
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Clustered sample
Cost:
Clustered integration
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Observations
● Costly double integral per pixel○ Directional integral (just like BSDFs)○ Spatial integral (specific to BSSRDFs)
● Result is often smooth○ Individually solving each pixel is wasteful
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Smooth
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Frequency analyses of light transport
●Theory [Durand et al. 2005]
○ Acquired Materials[Bagher et al. 2012]
○ Defocus, Motion Blur [Belcour et al. 2013]
○ Participating media [Belcour et al. 2014]
○ Animation cache[Dubouchet et al. 2017]
○ Global Illumination[Belcour et al. 2017]
A Frequency Analysis of Light Transport: from Theory to Implementation. [Belcour 2017].
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Frequency analyses of light transport
●Theory [Durand et al. 2005]
○ Acquired Materials[Bagher et al. 2012]
○ Defocus, Motion Blur [Belcour et al. 2013]
○ Participating media [Belcour et al. 2014]
○ Animation cache[Dubouchet et al. 2017]
○ Global Illumination[Belcour et al. 2017]
A Frequency Analysis of Light Transport: from Theory to Implementation. [Belcour 2017].
Can we use such analyses for clustering both pixels and illumination samples?
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Contributions
● Clustered integration for translucent objects○ Both pixels and illumination samples○ Using a dual-tree structure○ Based on novel frequency analysis○ Supports any BSSRDF models
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Overview
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Overview
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Overview
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Overview
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Overview
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Outgoing radiance bandwidth
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Outgoing radiance bandwidth
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Outgoing radiance bandwidth
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Outgoing radiance bandwidth
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Outgoing radiance bandwidth
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Image
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Predicted bandwidth
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Image
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Predicted bandwidth
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Dual-tree traversal
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Dual-tree traversal
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Dual-tree traversal
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Dual-tree traversal
Simultaneous refinement
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Dual-tree traversal
Simultaneous refinement
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Dual-tree traversal
Simultaneous refinement
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Single-tree traversal (previous work)
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Single-tree traversal (previous work)
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Single-tree traversal (previous work)
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Single-tree traversal (previous work)
Independent refinement per pixel
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Single-tree traversal (previous work)
Independent refinement per pixel
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Predicted bandwidth
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Predicted bandwidthPixel clusters
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Predicted bandwidth
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Pixel clusters
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Results
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Results
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Limitations
● Subpixel variation will not be detected faithfully○ Aliasing can cause wrong clustering○ Need more conservative bandwidth estimation
● Manual clustering for separated objects○ One tree per “separated” translucent object is needed○ Same for any existing approaches
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Conclusion
● Translucent objects often exhibit smoothness across pixels due to their blurring nature
● Smoothness is exploited via clustering○ Dual-tree structure for pixels and illumination samples○ Frequency analysis concervatily predicts cluster sizes