On the Velocity of an Implicit Surface
Jos Stam*, Ryan Schmidt*^
*Autodesk Research, ^University of Toronto
ACM Transactions on Graphics 21(3), Article 21, 2011 (To be presented at SIGGRAPH 2011)

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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.


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BibTex Citation

  author       = "Jos Stam and Ryan Schmidt",
  title        = "On the velocity of an implicit surface",
  journal      = "ACM Trans. Graph",
volume = 30,
number = 3, year = 2011,
pages = "{Article 21}",
url = "http://www.dgp.toronto.edu/~rms/pubs/ImplicitVelocityTOG11.html" }


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