Gradient vector flow: Difference between revisions

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'''Synonyms:''' GVF

Gradient vector flow is the vector field that is produced by a process that smooths and diffuses an input vector field, and is usually used to create a vector field that points to object edges from a distance.

== Background ==

Finding objects or homogeneous regions in images is a process known as

image segmentation. In many applications, the locations of object edges can be

estimated using local operators that yield a new image called an edge map. The

edge map can then be used to guide a deformable model, sometimes called an

active contour or a snake, so that it passes through the edge map in a smooth

way, therefore defining the object itself.

A common way to encourage a deformable model to move toward the edge

map is to take the spatial gradient of the edge map, yielding a vector field.

Since the edge map has its highest intensities directly on the edge and drops to

zero away from the edge, these gradient vectors provide directions for the active

contour to move. When the gradient vectors are zero, the active contour will not

move, and this is the correct behavior when the contour rests on the peak of the

edge map itself. However, because the edge itself is defined by local operators,

these gradient vectors will also be zero far away from the edge and therefore the

Finding objects or homogeneous regions in images is a process known as image segmentation. In many applications, the locations of object edges can be estimated using local operators that yield a new image called an edge map. The edge map can then be used to guide a deformable model, sometimes called an

active contour will not move toward the edge when initialized far away from the

active contour or a snake, so that it passes through the edge map in a smooth way, therefore defining the object itself.

A common way to encourage a deformable model to move toward the edge map is to take the spatial gradient of the edge map, yielding a vector field. Since the edge map has its highest intensities directly on the edge and drops to zero away from the edge, these gradient vectors provide directions for the active contour to move. When the gradient vectors are zero, the active contour will not move, and this is the correct behavior when the contour rests on the peak of the edge map itself. However, because the edge itself is defined by local operators, these gradient vectors will also be zero far away from the edge and therefore the active contour will not move toward the edge when initialized far away from the edge.

edge.

== Related Concepts ==

* [http://iacl.ece.jhu.edu/Projects/gvf/ Deformable models]