Localized FCM Clustering with Spatial Information for Medical Image Segmentation and Bias Field Estimation

Figure 1

Graphical representation of 𝑂_𝑦∩Ω_𝑖. The dashed circle denotes the circular neighborhood 𝑂_𝑦 centered on 𝑦. The image domain Ω is divided into three disjoint regions Ω₁, Ω₂, and Ω₃, which partition the neighborhood 𝑂_𝑦 into three subregions 𝑂_𝑦∩Ω₁, 𝑂_𝑦∩Ω₂, and 𝑂_𝑦∩Ω₃.