Brain Tissue Segmentation and Bias Field Correction of MR Image Based on Spatially Coherent FCM with Nonlocal Constraints

Table 1

The basic flow of image segmentation and bias field estimation.

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Step 1. Set the number of cluster , the exponent of fuzziness , stopping condition of the iteration , the radius of local neighborhood window, and the radius of search window in equation (11).

Step 2. Set the iteration initial value and initialize bias field and the center of cluster .

Step 3. Calculate nonlocal weight coefficient in equation (8) and then obtain the nonlocal weighted value by equation (7).

Step 4. Update the membership degree by equation (14).

Step 5. Update the center of clustering by equation (14).

Step 6. Calculate the estimated bias field by equation (15).

Step 7. If satisfying , then terminate iteration; otherwise, go to step 3 and set .

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