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Figure 1:
A snake with traditional potential forces cannot
move into the concave boundary region.
(a)
(c)
(b)
Figure 2:
A snake with GVF external forces moves into
the concave boundary region.
(a)
(c)
(b)
Figure 3:
A GVF snake converges to the same result from either the
inside or the outside.
(a)
(b)
(c)
Figure 4:
A GVF snake can also be initialized across the object boundary.
(a)
(b)
Figure 5:
A GVF snake correctly reconstructs the subjective contour.
(a)
(c)
(b)
Figure 6:
A GVF snake can find the boundary represented by scattered points.
(a)
(c)
(b)
Figure 8:
Stream lines of the particles shown in
Fig. 7.
Figure 9:
Stream lines of particles in (a) a potential force field and (b) a
GVF field.
(a)
(b)
Figure:
(a) A
image of the U-shape object corrupted by
additive white Gaussian noise (6 dB) (b)
The edge map
with
(normalized to the
range [0,1]). (c) The computed GVF.
(d) Initial and intermediate contours (gray curves) and the
final contour (white curve) of a GVF snake.
(a)
(b)
(c)
(d)
Figure:
(a) A (
)
magnetic resonance image of the left
ventrical of a human heart (short-axis section). (b) The
edge map
with
(normalized to the
range [0,1]). (c) The computed GVF (shown subsampled
by a factor of two). (d) Initial and intermediate contours (gray curves)
and the final contour (white curve) of the GVF snake.
(a)
(b)
(a)
(b)
Figure 13:
The magnitude of the GVF field gives information about the medial
axis of a shape.
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Figure:
The medialness map
(q=0.05) of a teardrop shape, shown as (a) a gray-level image and (b) a
surface plot.