Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Rapid, stable fluid dynamics for computer graphics
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
A fast level set method for propagating interfaces
Journal of Computational Physics
Three-Dimensional Front Tracking
SIAM Journal on Scientific Computing
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Interior/exterior classification of polygonal models
Proceedings of the conference on Visualization '00
Practical animation of liquids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Animation and rendering of complex water surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Computational Physics
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
A method for animating viscoelastic fluids
ACM SIGGRAPH 2004 Papers
Topology preserving surface extraction using adaptive subdivision
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Meshless deformations based on shape matching
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Meshless animation of fracturing solids
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Coupling water and smoke to thin deformable and rigid shells
ACM SIGGRAPH 2005 Papers
Deformable model with a complexity independent from image resolution
Computer Vision and Image Understanding
A Lagrangian particle level set method
Journal of Computational Physics
A semi-Lagrangian contouring method for fluid simulation
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2006 Papers
Model reduction for real-time fluids
ACM SIGGRAPH 2006 Papers
A simple package for front tracking
Journal of Computational Physics
Face offsetting: A unified approach for explicit moving interfaces
Journal of Computational Physics
Hybrid simulation of deformable solids
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Volume conserving finite element simulations of deformable models
ACM SIGGRAPH 2007 papers
A finite element method for animating large viscoplastic flow
ACM SIGGRAPH 2007 papers
Adaptively sampled particle fluids
ACM SIGGRAPH 2007 papers
Simulation of bubbles in foam with the volume control method
ACM SIGGRAPH 2007 papers
A fast variational framework for accurate solid-fluid coupling
ACM SIGGRAPH 2007 papers
Fast viscoelastic behavior with thin features
ACM SIGGRAPH 2008 papers
Wavelet turbulence for fluid simulation
ACM SIGGRAPH 2008 papers
An Unconditionally Stable MacCormack Method
Journal of Scientific Computing
Fluid Simulation
A unified lagrangian approach to solid-fluid animation
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Fast and robust tracking of fluid surfaces
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
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
Dynamic local remeshing for elastoplastic simulation
ACM SIGGRAPH 2010 papers
Physics-inspired topology changes for thin fluid features
ACM SIGGRAPH 2010 papers
Vector fluid: a vector graphics depiction of surface flow
NPAR '10 Proceedings of the 8th International Symposium on Non-Photorealistic Animation and Rendering
Multi-phase fluid simulations using regional level sets
ACM SIGGRAPH Asia 2010 papers
Detail-preserving fully-Eulerian interface tracking framework
ACM SIGGRAPH Asia 2010 papers
Constraint-based simulation of adhesive contact
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
FASTCD: fracturing-aware stable collision detection
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Reconstructing surfaces of particle-based fluids using anisotropic kernels
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Extended papers from NPAR 2010: Vector graphics depicting marbling flow
Computers and Graphics
Example-based elastic materials
ACM SIGGRAPH 2011 papers
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
VolCCD: Fast continuous collision culling between deforming volume meshes
ACM Transactions on Graphics (TOG)
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
Topology-adaptive interface tracking using the deformable simplicial complex
ACM Transactions on Graphics (TOG)
Tracking surfaces with evolving topology
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
Automatic mesh split-and-merge technique for multiple surface models
Proceedings of the 11th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and its Applications in Industry
Reconstructing surfaces of particle-based fluids using anisotropic kernels
ACM Transactions on Graphics (TOG)
Energetically consistent invertible elasticity
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Smoke sheets for graph-structured vortex filaments
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Linear-time smoke animation with vortex sheet meshes
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Energetically consistent invertible elasticity
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Smoke sheets for graph-structured vortex filaments
Proceedings of the ACM SIGGRAPH/Eurographics Symposium 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)
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
Liquid surface tracking with error compensation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Putting holes in holey geometry: topology change for arbitrary surfaces
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
A level set method for ductile fracture
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
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We present a method for accurately tracking the moving surface of deformable materials in a manner that gracefully handles topological changes. We employ a Lagrangian surface tracking method, and we use a triangle mesh for our surface representation so that fine features can be retained. We make topological changes to the mesh by first identifying merging or splitting events at a particular grid resolution, and then locally creating new pieces of the mesh in the affected cells using a standard isosurface creation method. We stitch the new, topologically simplified portion of the mesh to the rest of the mesh at the cell boundaries. Our method detects and treats topological events with an emphasis on the preservation of detailed features, while simultaneously simplifying those portions of the material that are not visible. Our surface tracker is not tied to a particular method for simulating deformable materials. In particular, we show results from two significantly different simulators: a Lagrangian FEM simulator with tetrahedral elements, and an Eulerian grid-based fluid simulator. Although our surface tracking method is generic, it is particularly well-suited for simulations that exhibit fine surface details and numerous topological events. Highlights of our results include merging of viscoplastic materials with complex geometry, a taffy-pulling animation with many fold and merge events, and stretching and slicing of stiff plastic material.