Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Twinned meshes for dynamic triangulation of implicit surfaces
GI '07 Proceedings of Graphics Interface 2007
Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles
IEEE Transactions on Visualization and Computer Graphics
Robust Topological Operations for Dynamic Explicit Surfaces
SIAM Journal on Scientific Computing
Tracking surfaces with evolving topology
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
Implicit skinning: real-time skin deformation with contact modeling
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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In this article we derive an equation for the velocity of an arbitrary time-evolving implicit surface. Strictly speaking, only the normal component of the velocity is unambiguously defined. This is because an implicit surface does not have a unique parametrization. However, by enforcing a constraint on the evolution of the normal field we obtain a unique tangential component. We apply our formulas to surface tracking and to the problem of computing velocity vectors of a motion blurred blobby surface. Other possible applications are mentioned at the end of the article.