Atmospheric illumination and shadows
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
The zonal method for calculating light intensities in the presence of a participating medium
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Realistic animation of liquids
Graphical Models and Image Processing
Modeling the motion of a hot, turbulent gas
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Practical animation of liquids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A practical model for subsurface light transport
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A practical model for subsurface light transport
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Realistic image synthesis using photon mapping
Realistic image synthesis using photon mapping
Physically based modeling and animation of fire
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Interactive rendering of atmospheric scattering effects using graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
A simple fluid solver based on the FFT
Journal of Graphics Tools
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Keyframe control of smoke simulations
ACM SIGGRAPH 2003 Papers
Triple product wavelet integrals for all-frequency relighting
ACM SIGGRAPH 2004 Papers
Acquisition of time-varying participating media
ACM SIGGRAPH 2005 Papers
A vortex particle method for smoke, water and explosions
ACM SIGGRAPH 2005 Papers
A practical analytic single scattering model for real time rendering
ACM SIGGRAPH 2005 Papers
Model reduction for real-time fluids
ACM SIGGRAPH 2006 Papers
Acquiring scattering properties of participating media by dilution
ACM SIGGRAPH 2006 Papers
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
ACM SIGGRAPH ASIA 2008 courses
ACM SIGGRAPH ASIA 2009 Courses
ACM SIGGRAPH 2009 Courses
Fluid simulation using Laplacian eigenfunctions
ACM Transactions on Graphics (TOG)
Non-polynomial Galerkin projection on deforming meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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In this paper, we present a unified framework for reduced space modeling and rendering of dynamic and non-homogenous participating media, like snow, smoke, dust and fog. The key idea is to represent the 3D spatial variation of the density, velocity and intensity fields of the media using the same analytic basis. In many situations, natural effects such as mist, outdoor smoke and dust are smooth (low frequency) phenomena, and can be compactly represented by a small number of coefficients of a Legendre polynomial basis. We derive analytic expressions for the derivative and integral operators in the Legendre coefficient space, as well as the triple product integrals of Legendre polynomials. These mathematical results allow us to solve both the Navier-Stokes equations for fluid flow and light transport equations for single scattering efficiently in the reduced Legendre space. Since our technique does not depend on volume grid resolution, we can achieve computational speedups as compared to spatial domain methods while having low memory and pre-computation requirements as compared to data-driven approaches. Also, analytic definition of derivatives and integral operators in the Legendre domain avoids the approximation errors inherent in spatial domain finite difference methods. We demonstrate many interesting visual effects resulting from particles immersed in fluids as well as volumetric scattering in non-homogenous and dynamic participating media, such as fog and mist.