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After we compute
,
we
replace the potential force
in the dynamic
snake equation of (7) by
,
yielding
![\begin{displaymath}{\bf x}_t(s,t) = \alpha {\bf x}''(s,t) - \beta {\bf x}''''(s,t) + {\bf v}
\end{displaymath}](img66.gif) |
(13) |
We call the parametric curve solving the above dynamic equation as
a GVF snake. This equation is solved in similar fashion to the
traditional snake -- i.e., by discretization and iterative solution.
Chenyang Xu
1999-11-06