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Without taking the local image region information into account, the C-V model cannot effectively deal with the problem of intensity inhomogeneity.
In 2005, Censor et al. [1] first introduced the multiple-sets split feasibility problem, which was motivated by the inverse problem of intensity modulated radiation therapy (IMRT).
The local C-V model can deal with the problem of intensity inhomogeneity which widely exists in the real-world images.
In [29], Tao et al. integrated the multiple piecewise constant with the GAC model, which can also overcome the problem of intensity inhomogeneity and multiple objects for image segmentation.
The results illustrate that our method has a satisfying performance to deal with the problem of intensity inhomogeneity, which demonstrates the advantage of the introduction of the local image region information.
As an extension, a multiphase level set framework [24] is presented for the multi-region image segmentation, which can be used to deal with the problem of intensity inhomogeneity.
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The multiple-sets split feasibility problem was applied to the inverse problem of intensity-modulated radiation therapy (IMRT).
A few years later, Censor et al. [3, 4] proposed an incredible application of the split feasibility problem to the inverse problem of intensity-modulated radiation therapy treatment planning.
Our work is related to significant real-world applications; see for instance [14 18] and [19 21], where such methods were applied to the inverse problem of intensity-modulated radiation therapy and to the dynamic emission tomographic image reconstruction.
By the means of mode field diameter (MFD) variation as a sensor indirect parameter, the common problems of intensity modulated optical sensors are overcome.
The resulting problems of intensity overlap as discussed above and the definition of three-dimensional constraints may be addressed by incorporation of algorithms that include prior knowledge of spatial and anatomical constraints of normal anatomy and tumor tissue.
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