Title
On the velocity of an implicit surface
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.
Year
DOI
Venue
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 Stam12211164.69
Ryan Schmidt256726.74