Let (M,g) be a Riemannian manifold carrying a BC gradient vector field X, having as generative a closed torse forming U.
We shall determine the BC gradient vector fields on two Riemannian manifolds.
Let us consider now the subspace formed by the gradient vectors
In section 3 we describe active contour paradigm for image Segmentation and gradient vector
flow active contour method are discussed, and finally some experiment results are shown in section 4.
When [alpha] = 0[degrees] the velocity vector is parallel with the thickness gradient vector
and the vorticity is zero.
The component of the gap gradient vector
that is parallel to the velocity vector results in extensional deformation.
Starting from them, we shall determine some operators that will allow us to reckon the gradient vector
in each pixel of a colour image.