Efficient Rendering of Heterogeneous Polydisperse Granular Materials - - PowerPoint PPT Presentation
Efficient Rendering of Heterogeneous Polydisperse Granular Materials Thomas Mller 1,2 Marios Papas 1 Markus Gross 1,2 Wojciech Jarosz 3 Jan Novk 1 1 Disney Research 3 Dartmouth College 2 ETH Zrich Efficient Rendering of Heterogeneous
Thomas Müller1,2 Marios Papas1 Markus Gross1,2 Wojciech Jarosz3 Jan Novák1
1Disney Research 2ETH
Zürich
3Dartmouth College
Efficient Rendering of Heterogeneous Polydisperse Granular Materials
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Efficient Rendering of Heterogeneous Polydisperse Granular Materials
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Larry Hoffman – CC BY 2.0
Efficient Rendering of Heterogeneous Polydisperse Granular Materials
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Krissie Camealy – CC BY 2.0
Efficient Rendering of Heterogeneous Polydisperse Granular Materials
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*Micky – CC BY-SA 2.0
Efficient Rendering of Heterogeneous Polydisperse Granular Materials
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Marco Verch – CC BY 2.0
Efficient Rendering of Heterogeneous Polydisperse Granular Materials
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yeowatzup – CC BY 2.0
THE APPEARANCE OF GRANULAR MATERIALS
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byrev – CC0 yeowatzup – CC BY 2.0 *Micky – CC BY-SA 2.0 Krissie Camealy – CC BY 2.0 Larry Hoffman – CC BY 2.0
DECOMPOSITION OF GRANULAR APPEARANCE
[Meng et al. 2015]
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LOW ORDER AND HIGH ORDER
Full image Low
High
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LOW ORDER AND HIGH ORDER — INDIVIDUAL PHOTONS
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LOW ORDER AND HIGH ORDER — PATH TRACING
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Shell Tracing [Moon et al. 2007]
ACCELERATING HIGH ORDER WITH SHELL TRACING
Explicit Path Tracing 15
METHODS OVERVIEW
Explicit Path Tracing
High order Low order
Meng et al. 2015: Moon et al. 2007: Ours: 16
Shell Tracing
precomputation
ACCELERATING HIGH ORDER WITH CONTINUOUS APPROXIMATION
Meng et al. 2015:
Grains Continuous volume
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METHODS OVERVIEW
Explicit Path Tracing Volumetric PT + Diffusion
monodisperse
High order Low order
Meng et al. 2015: Moon et al. 2007: Ours:
(Explicit PT + ) Proxy PT
Volumetric Shell Tracing
Explicit Path Tracing
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Shell Tracing
precomputation
Proxy Path Tracing
For accelerating low order light transport
PROXY REPRESENTATION OF GRAINS
𝜕𝑗 𝜕𝑝 𝐲𝑝 𝐲𝑗 𝜕𝑗 𝜕𝑝 𝐲𝑝 𝐲𝑗
Grain Spherical proxy
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DIMENSIONALITY REDUCTION OF PROXY REPRESENTATION
8D
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8D 3D 5D
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DIMENSIONALITY REDUCTION OF PROXY REPRESENTATION
PROXY PATH TRACING RESULTS — SMALL SCALE
Explicit PT (reference):
369 hours
Proxy Path Tracing (ours):
34.3 hours (10.7x)
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PROXY PATH TRACING RESULTS — SMALL SCALE
Explicit PT (reference):
369 hours
Proxy Path Tracing (ours):
34.3 hours (10.7x)
Explicit + Proxy PT (ours):
73.7 hours (5x)
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PROXY PATH TRACING RESULTS — LARGE SCALE
Explicit PT (reference)
1588 hours
Proxy PT (ours)
19.4 hours
(82x) Meng et al. 2015
722 hours
(2.2x)
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Explicit PT (reference) 1588
hours
Meng et al. 2015 722
hours
Explicit PT (reference) 1588
hours
Proxy PT (ours) 19.4
hours
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PROXY PATH TRACING RESULTS — LARGE SCALE
Explicit PT (reference) 1588
hours
Meng et al. 2015 722
hours
Explicit PT (reference) 1588
hours
Proxy PT (ours) 19.4
hours
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PROXY PATH TRACING RESULTS — LARGE SCALE
METHODS OVERVIEW
Explicit Path Tracing Volumetric PT + Diffusion
monodisperse
High order Low order
Meng et al. 2015: Moon et al. 2007: Ours:
(Explicit PT + ) Proxy PT
Volumetric Shell Tracing
Explicit Path Tracing
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Shell Tracing
precomputation
Volumetric Shell Tracing
For accelerating high order light transport
SHELL TRANSPORT FUNCTION
Spherefilled with medium
𝜕𝑗 𝜕𝑝 𝐲𝑝 𝐲𝑗
Shell Transport Function
𝜕𝑗 𝜕𝑝 𝐲𝑝 𝐲𝑗 32
SHELL TRANSPORT FUNCTION — MOON ET AL. 2007
𝜕𝑗 𝜕𝑝 𝐲𝑝 𝐲𝑗
Spherefilled with grains Moon et al. 2007:
Grains
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SHELL TRANSPORT FUNCTION — OURS
Spherefilled with continuous approximatio n Ours:
Continuous approximation [Meng et al. 2015] 𝜕𝑗 𝜕𝑝 𝐲𝑝 𝐲𝑗 34
SHELL TRANSPORT FUNCTION — OURS
Why continuous volumes?
RTE parameter space (HG phase
function)
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High-resolution dictionary of shells over full RTE space (240 MB, 10h precomputation on workstation)
SHELL TRACING IN HETEROGENEOUS VOLUMES (CONSERVATIVE)
Dictionary of Shells
Binary heterogeneous volume
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Dictionary of Shells
Binary heterogeneous volume
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SHELL TRACING IN HETEROGENEOUS VOLUMES (GREEDY)
SHELL TRACING: GREEDY VS. CONVERVATIVE (THICK MEDIUM)
Volumetric PT (reference):
802 hours
(ours):
173 hours (4.6x)
Greedy Shell Tracing (ours):
155 hours (5.2x)
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SHELL TRACING: GREEDY VS. CONVERVATIVE (THICK MEDIUM)
Volumetric PT (reference):
802 hours
(ours):
173 hours (4.6x)
Greedy Shell Tracing (ours):
155 hours (5.2x)
39 Relative Squared Error x64
METHODS OVERVIEW
Explicit Path Tracing Volumetric PT + Diffusion
monodisperse
High order Low order
Meng et al. 2015: Moon et al. 2007: Ours:
(Explicit PT + ) Proxy PT
Volumetric Shell Tracing
Explicit Path Tracing
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Shell Tracing
precomputation
OUR FULL METHOD VS. MENG ET AL. 2015 (HOMOGENEOUS)
Explicit Path Tracing
13,480 hours
Our full method
5 hours (2,696x)
Meng et al. 2015
93 hours (145x)
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42 Relative Squared Error x8
OUR FULL METHOD VS. MENG ET AL. 2015 (HOMOGENEOUS)
Explicit Path Tracing
13,480 hours
Meng et al. 2015
93 hours (145x)
Our full method
5 hours (2,696x)
Explicit PT (reference) 13,480
hours
Meng et al. 2015 93
hours
Explicit PT (reference) 13,480
hours
Our full method 5
hours 43
OUR FULL METHOD VS. MENG ET AL. 2015 (HOMOGENEOUS)
Explicit PT (reference) 13,480
hours
Meng et al. 2015 93
hours
Explicit PT (reference) 13,480
hours
Our full method 5
hours 44
OUR FULL METHOD VS. MENG ET AL. 2015 (HOMOGENEOUS)
OUR FULL METHOD (HETEROGENEOUS)
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MORE RESULTS AND VALIDATION
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MORE RESULTS AND VALIDATION
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LIMITATIONS OF BOUNDING SPHERE PACKING
49 [Meng et al. 2015]
FUTURE WORK FOR VOLUMETRIC SHELL TRACING
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THANK YOU FOR YOUR ATTENTION!
Email: muelltho@inf.ethz.ch Web: https://tom94.net
ACKNOWLEDGEMENTS
Repository