Image segmentation plays an important role in the field of image understanding,
image analysis and pattern identification. The foremost goal of the segmentation process is
to partition an image into regions that are homogeneous (uniform) with respect to one
or more self-characteristic and feature. Clustering has long been a popular approach
to untested pattern recognition. The Fuzzy C-Means (FCM) algorithm (Bezdek, 1981), as
a typical clustering algorithm, has been utilized in a wide range of engineering and
scientific disciplines such as medicine imaging, bioinformatics, pattern recognition and data
mining.
The level set method is based on a geometric deformable model, which
translates the problem of evolution of 2-D (3-D) close curve (surface) into the evolution of
level set function in the space with a higher dimension to obtain the advantage in
managing the topology change of the shape (Osher and
Sethian, 1988; Malladi et al., 1995; Leventon et al., 2000; and Staib et al., 2000). The level set method has had
great success in computer graphics and vision. Also, it has been widely used in
medical imaging for segmentation and shape recovery (Paragios and Deriche, 2000; and
Vese and Chan, 2002).
However, there are some insufficiencies in the traditional level set method.
Firstly, as the local marginal information of the image is used, it is difficult to obtain
a perfect result when there is a fuzzy or discrete boundary in the region, and
the leaking problem inescapably appears. Secondly, solving the partial
differential equation of the level set function requires numerical processing at each point of
the image domain, which is a time-consuming process. Finally, if the initial
evolution contour is given at will, the iteration time would increase greatlytoo large or
too small contour will cause the convergence of evolution curve to the contour of
object incorrectly. Therefore, some modification has been proposed to improve the
speed function of curve evolution (Sethian, 1999; Li et al., 2005; and Shi and Karl, 2005). |