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Next: GVF Fields and GVF Up: Gradient Vector Flow Field Previous: Numerical Implementation

GVF Snake

After we compute ${\bf v}(x,y)$, we replace the potential force $- \nabla E _{\rm ext}$ in the dynamic snake equation of (7) by ${\bf v}(x,y)$, yielding

 \begin{displaymath}{\bf x}_t(s,t) = \alpha {\bf x}''(s,t) - \beta {\bf x}''''(s,t) + {\bf v}
\end{displaymath} (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