On the velocity of an implicit surface
Jos Stam, Ryan Schmidt
In ACM Transactions on Graphics, 30(3), May 2011.
Abstract: 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.
Keyword(s): Implicit surfaces, blobbies, motion blur
Article URL: http://dx.doi.org/10.1145/1966394.1966400
BibTeX format:
@article{Stam:2011:OTV,
  author = {Jos Stam and Ryan Schmidt},
  title = {On the velocity of an implicit surface},
  journal = {ACM Transactions on Graphics},
  volume = {30},
  number = {3},
  pages = {21:1--21:7},
  month = may,
  year = {2011},
}
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