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In this equation, subscripts denote partial derivatives and the gradient of the edge map is given by the vector field
<math>\textstyle \nabla f =(f_x, f_y)</math>. Figure
of the (slightly blurred) edge map, and the GVF field generated by
minimizing <math>\textstyle\mathcal{E}</math>.
[[Image:UShape.png|thumb|400px|right|An edge map (left) describes the boundary of an object. The gradient of the (slightly blurred) edge map (center) points towards the boundary, but is very local. The gradient vector flow (GVF) field (right) also points towards the boundary, but has a much larger capture range.]]
==Related Concepts==
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