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Heterogeneous Subsurface Scattering Using the Finite Element Method
July 2011 (vol. 17 no. 7)
pp. 956-969
ASCII Text
x 
 
Adam Arbree, Bruce Walter, Kavita Bala, "Heterogeneous Subsurface Scattering Using the Finite Element Method," IEEE Transactions on Visualization and Computer Graphics, vol. 17, no. 7, pp. 956-969, July, 2011.
 
 
BibTex
x
 
@article{ 10.1109/TVCG.2010.117,
author = {Adam Arbree and Bruce Walter and Kavita Bala},
title = {Heterogeneous Subsurface Scattering Using the Finite Element Method},
journal ={IEEE Transactions on Visualization and Computer Graphics},
volume = {17},
number = {7},
issn = {1077-2626},
year = {2011},
pages = {956-969},
doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2010.117},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Visualization and Computer Graphics
TI - Heterogeneous Subsurface Scattering Using the Finite Element Method
IS - 7
SN - 1077-2626
SP956
EP969
EPD - 956-969
A1 - Adam Arbree,
A1 - Bruce Walter,
A1 - Kavita Bala,
PY - 2011
KW - Three-dimensional graphics and realism
KW - color
KW - shading
KW - shadowing
KW - texture
KW - miscellaneous
KW - subsurface scattering
KW - partial differential equations
KW - finite element methods.
VL - 17
JA - IEEE Transactions on Visualization and Computer Graphics
ER -
 
Adam Arbree, Autodesk® Corporation, San Francisco
Bruce Walter, Cornell University, Ithaca
Kavita Bala, Cornell University, Ithaca
Materials with visually important heterogeneous subsurface scattering, including marble, skin, leaves, and minerals are common in the real world. However, general, accurate, and efficient rendering of these materials is an open problem. In this paper, we describe a finite element (FE) solution of the heterogeneous diffusion equation (DE) that solves this problem. Our algorithm is the first to use the FE method to solve the difficult problem of heterogeneous subsurface rendering. To create our algorithm, we make two contributions. First, we correct previous work and derive an accurate and complete heterogeneous diffusion formulation with two key elements: the diffusive source boundary condition (DSBC)—an accurate model of the reduced intensity (RI) source—and its associated render query function. Second, we solve this formulation accurately and efficiently using the FE method. With these contributions, we can render subsurface scattering with a simple four step algorithm. To demonstrate that our algorithm is simultaneously general, accurate, and efficient, we test its performance on a series of difficult scenes. For a wide range of materials and geometry, it produces, in minutes, images that match path traced references, that required hours.

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Index Terms:
Three-dimensional graphics and realism, color, shading, shadowing, texture, miscellaneous, subsurface scattering, partial differential equations, finite element methods.
Citation:
Adam Arbree, Bruce Walter, Kavita Bala, "Heterogeneous Subsurface Scattering Using the Finite Element Method," IEEE Transactions on Visualization and Computer Graphics, vol. 17, no. 7, pp. 956-969, July 2011, doi:10.1109/TVCG.2010.117
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