Abstract | ||
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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. |
Year | DOI | Venue |
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2011 | 10.1145/1966394.1966400 | ACM Trans. Graph. |
Keywords | Field | DocType |
velocity vector,arbitrary time-evolving implicit surface,normal field,possible application,unique parametrization,normal component,blobby surface,unique tangential component,implicit surface | Computer vision,Normal component,Mathematical analysis,Motion blur,Artificial intelligence,Mathematics | Journal |
Volume | Issue | ISSN |
30 | 3 | 0730-0301 |
Citations | PageRank | References |
9 | 0.54 | 8 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jos Stam | 1 | 2211 | 164.69 |
Ryan Schmidt | 2 | 567 | 26.74 |