Gradient vector flow: Difference between revisions

Revision as of 20:01, 31 March 2020

Revision as of 20:06, 31 March 2020

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</math>| 1 | border=y}}

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 <figref>UShape.png</figref>1 shows an edge map, the gradient

of the (slightly blurred) edge map, and the GVF field generated by

minimizing <math>\textstyle\mathcal{E}</math>.

[[ImageFile:UShape.png|thumb|400px|right|Fig. 1. 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.]]