Supervised Variational Model With Statistical Inference and Its Application in Medical Image Segmentation

Changyang Li, Xiuying Wang, Stefan Eberl, Michael Fulham, Yong Yin, David Dagan Feng
2015 IEEE Transactions on Biomedical Engineering  
Automated and general medical image segmentation can be challenging because the foreground and the background may have complicated and overlapping density distributions in medical imaging. Conventional region-based level-set algorithms often assume piecewise constant (PC) or piecewise smooth (PS) for segments, which are implausible for general medical image segmentation. Further, low contrast and noise make identification of the boundaries between foreground and background difficult for
more » ... ed level set algorithms. Thus, to address these problems, we suggest a supervised variational level set segmentation model to harness the statistical region energy functional with a weighted probability approximation. Our approach models the region density distributions by using the mixture-of-mixtures Gaussian model to better approximate real intensity distributions and distinguish statistical intensity differences between foreground and background. The region-based statistical model in our algorithm can intuitively provide better performance on noisy images. We constructed a weighted probability map on graphs to incorporate spatial indications from user input with a contextual constraint based on the minimization of contextual graphs energy functional. We measured the performance of our approach on 10 noisy synthetic images and 58 medical datasets with heterogeneous intensities and ill-defined boundaries and compared our technique to the Chan-Vese (CV) region-based level set model, the geodesic active contour model with distance regularization (GACD) and the random walker (RW) model. Our method consistently achieved the highest Dice similarity coefficient (DSC) when compared to the other methods.
doi:10.1109/tbme.2014.2344660 pmid:25099393 fatcat:4wxtq6mxjzdz5k67ladoull2du