On the Velocity of an Implicit Surface

Jos Stam, Ryan Schmidt

ACM Transactions on Graphics (SIGGRAPH Proceedings)
2011

Abstract

In this paper 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.For access to the slides from a recent presentation on the topic, please click here.

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