Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
An implicit surface polygonizer
Graphics gems IV
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
A method for animating viscoelastic fluids
ACM SIGGRAPH 2004 Papers
Directable photorealistic liquids
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Particle-based viscoelastic fluid simulation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
A Lagrangian particle level set method
Journal of Computational Physics
A semi-Lagrangian contouring method for fluid simulation
ACM Transactions on Graphics (TOG)
A simple package for front tracking
Journal of Computational Physics
A multi-phase SPH method for macroscopic and mesoscopic flows
Journal of Computational Physics
A texture synthesis method for liquid animations
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Hybrid simulation of deformable solids
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Weakly compressible SPH for free surface flows
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Solving general shallow wave equations on surfaces
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
A finite element method for animating large viscoplastic flow
ACM SIGGRAPH 2007 papers
Adaptively sampled particle fluids
ACM SIGGRAPH 2007 papers
Blobtacular: surfacing particle system in "Pirates of the Caribbean 3"
ACM SIGGRAPH 2007 sketches
A quadratic bending model for inextensible surfaces
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Fast viscoelastic behavior with thin features
ACM SIGGRAPH 2008 papers
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
Fast and robust tracking of fluid surfaces
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Stretching and wiggling liquids
ACM SIGGRAPH Asia 2009 papers
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Robust Topological Operations for Dynamic Explicit Surfaces
SIAM Journal on Scientific Computing
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
A multiscale approach to mesh-based surface tension flows
ACM SIGGRAPH 2010 papers
Physics-inspired topology changes for thin fluid features
ACM SIGGRAPH 2010 papers
Simulation of surface tension in 2D and 3D with smoothed particle hydrodynamics method
Journal of Computational Physics
Reconstructing surfaces of particle-based fluids using anisotropic kernels
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
On the velocity of an implicit surface
ACM Transactions on Graphics (TOG)
A particle-based method for preserving fluid sheets
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A level-set method for skinning animated particle data
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Mathematical foundation of the optimization-based fluid animation method
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
IEEE Transactions on Visualization and Computer Graphics
Tracking surfaces with evolving topology
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Linear-time smoke animation with vortex sheet meshes
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Linear-time smoke animation with vortex sheet meshes
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Closest point turbulence for liquid surfaces
ACM Transactions on Graphics (TOG)
Liquid surface tracking with error compensation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Consistent surface model for SPH-based fluid transport
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Versatile surface tension and adhesion for SPH fluids
ACM Transactions on Graphics (TOG)
Physics-based animation of large-scale splashing liquids
ACM Transactions on Graphics (TOG)
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We introduce the idea of using an explicit triangle mesh to track the air/fluid interface in a smoothed particle hydrodynamics (SPH) simulator. Once an initial surface mesh is created, this mesh is carried forward in time using nearby particle velocities to advect the mesh vertices. The mesh connectivity remains mostly unchanged across time-steps; it is only modified locally for topology change events or for the improvement of triangle quality. In order to ensure that the surface mesh does not diverge from the underlying particle simulation, we periodically project the mesh surface onto an implicit surface defined by the physics simulation. The mesh surface gives us several advantages over previous SPH surface tracking techniques. We demonstrate a new method for surface tension calculations that clearly outperforms the state of the art in SPH surface tension for computer graphics. We also demonstrate a method for tracking detailed surface information (like colors) that is less susceptible to numerical diffusion than competing techniques. Finally, our temporally-coherent surface mesh allows us to simulate high-resolution surface wave dynamics without being limited by the particle resolution of the SPH simulation. © 2012 Wiley Periodicals, Inc.