A computational model for interfaces
Advances in Applied Mathematics
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
The bifurcation of tracked scalar waves
SIAM Journal on Scientific and Statistical Computing - Telecommunication Programs at U.S. Universities
A comparison of local surface geometry estimation methods
Machine Vision and Applications
Reconstructing volume tracking
Journal of Computational Physics
Weights for computing vertex normals from facet normals
Journal of Graphics Tools
Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions
SIAM Journal on Scientific Computing
Boundary integral methods for multicomponent fluids and multiphase materials
Journal of Computational Physics
Face offsetting: A unified approach for explicit moving interfaces
Journal of Computational Physics
A front tracking algorithm for limited mass diffusion
Journal of Computational Physics
A Conservative Front Tracking Method in N-Dimensions
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
A grid-alignment finite element technique for incompressible multicomponent flows
Journal of Computational Physics
Front tracking with moving-least-squares surfaces
Journal of Computational Physics
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
Physics-inspired topology changes for thin fluid features
ACM SIGGRAPH 2010 papers
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
SIAM Journal on Scientific Computing
Deforming composite grids for solving fluid structure problems
Journal of Computational Physics
Tracking surfaces with evolving topology
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
Towards front-tracking based on conservation in two space dimensions III, tracking interfaces
Journal of Computational Physics
Generalized Hermitian Radial Basis Functions Implicits from polygonal mesh constraints
The Visual Computer: International Journal of Computer Graphics
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A general purpose software package for the geometry and dynamics of an interface has been extracted from the FronTier code developed by the authors and colleagues, and is now publicly available. The purpose of this paper is twofold. We describe significant improvements to the Front Tracking package, especially in the 3D handling of topological bifurcations. We also assess the performance of the package, in comparison with publicly distributed interface codes (the level set method), with published performance results (VOF and other methods) and with previous versions of front tracking. The major new algorithm presented here is Locally Grid Based tracking, which combines the best features of two previous 3D tracking algorithms. It combines the robustness of grid-based tracking with the accuracy of grid free tracking, and thus it is a significant improvement to both of these algorithms. We also discuss the surface curvature and normal algorithms and a higher order propagation algorithm, used for the comparison studies presented here. The code is downloadable from the web, and is accompanied by a web-based testing and evaluation site and extensive web-based documentation.